# Experimental Study on the Safety Assessment of Reinforced Concrete Shear Wall Structure with the Correspondence between Damage Image and Index

Authors: Suxia Kou; Jianmin Zhang; Jing Ren
Journal: Advances in Civil Engineering
 (2021)

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## Abstract

The post-disaster emergency rescue and loss evaluation hinges on the timeliness and accuracy of safety assessment of building structures in quake-hit regions. At present, the damage identification of quake-hit buildings in China is mainly conducted based on the experience of the experts. Such an assessment method will inevitably lead to the differences in identification results because each expert has his/her own subjective understanding of the degree of structural damage. In order to solve this problem, the low cyclic loading test of 7 specimens of shear wall is conducted and the hysteretic curves of seven shear walls are drawn. The failure modes and seismic performance of members under different design parameters (axial compression ratio of shear wall, shear span ratio, form of edge member, reinforcement ratio, stirrup ratio of coupling beam, and span height ratio) are compared. By recording the damage images taken at the controlled displacement under each level of load, the corresponding damage indexes are calculated, and the correspondence between the typical component damages and the damage indexes is discovered. After that, the images are compiled into an atlas. The authors calculate the damage index of the overall structure based on the damage indexes of the components and carries out damage identification of RC shear wall structure with the said damage index.


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## Body

## 1. Introduction

At present, the postseismic damage identification in China is mainly conducted based on the professional knowledge and practical experience of scholars and experts. In 2011, China issued the national standard for the postseismic identification of building safety:Post-earthquake field works-Part 2: Safety assessment of building [1]. The standard specifies the principles and methods for safety identification of buildings in the affected regions of a strong earthquake.However, a careful and close study of its terms and conditions will reveal the fact that the standard is thronged with macroscopic descriptions of different levels of damages to various types of structural components. For example, beam components sometimes have minor cracks; there might be cracks on concrete shear wall openings (6.2.4 Class 4, safety buildings). The descriptive languages could be understood very differently, and they are too subjective to yield objective safety identification results. According to these principles and methods, the same building may be given different identification conclusions.For the purpose of solving the differences in the identification caused by the subjective reasons and developing a safety identification method for better quantification of the damage situation [2–4], the author carries out low cyclic loading test on shear wall, records the damage images taken at the controlled displacement under each level of load, and calculates the corresponding damage indexes. Then, the correspondence between the macroscopic damages and the damage indexes is obtained, and the images are compiled into an atlas. The research provides a valuable reference for damage identification in quake-hit regions.The seismic performance of the ordinary RC shear wall has been tested by many experts at home and abroad [5–10]. Three shear wall specimens with different edge constraints are designed in the test [7], and the low cycle reciprocating loading test is carried out. The analysis includes failure form, horizontal bearing capacity, displacement ductility coefficient, strength and stiffness degradation, energy dissipation capacity, and other square surfaces. Nine RC shear wall specimens are designed in the test [8]. Monotonic and low cycle cyclic loading tests are carried out by changing axial compression ratio, stirrup ratio of edge members, concrete strength, and loading mode to observe the change process of damage state and mechanical performance of members. The previous studies [11, 12] have a reference for this paper. The purpose of this paper is to record the corresponding damage phenomenon under each stage of loading conditions and find the corresponding relationship between the damage index and the damage phenomenon.


## 2. Design of Shear Wall Specimens and Material Performance

### 2.1. Specimens

In this experiment, 7 shear wall specimens are designed (on a scale of 1 : 2.5) based on an 18-story shear wall structure of a residential area in Harbin. The specimens are constructed in consideration of the influence of the axial compression ratio, the shear span ratio, the edge component form [13], and the reinforcement ratio of the longitudinal reinforcement stirrup. A standard specimen SW1 is designed for comparison with other specimens, as shown in Figure 1. Table 1 lists the design parameters of the specimens.Figure 1
Design of specimens. (a) Design drawing of SW1 and SW2. (b) Design drawing of SW3. (c) Design drawing of SW4. (d) Design drawing of SW5. (e) Design drawing of SW6. (f) Design drawing of SW7.
(a)(b)(c)(d)(e)(f)Table 1
Design parameters of the shear wall.
Specimen no.SW1SW2SW3SW4SW5SW6SW7Parameter changeStandard specimenAxial compression ratioShear span ratioShear span ratioEdge componentEdge componentReinforcement ratioWall width (mm)1000100010001000100010001000Wall height (mm)2300230014003000300030002300Wall thickness (mm)100100100100100100100Axial compression ratio0.20.50.20.20.20.20.2Shear span ratio2.32.31.43.03.03.02.3Edge componentEmbedded columnEmbedded columnEmbedded columnEmbedded columnT-shaped wing wallH-shaped wing wallEmbedded columnLongitudinal distributing barsB6.5@100B6.5@100B6.5@100B6.5@100B6.5@100B6.5@100B6.5@150Horizontal distributing barsB6.5@100B6.5@100B6.5@100B6.5@100B6.5@100B6.5@100B6.5@150Edge component stirrupsB4@50B4@50B4@50B4@50B4@50B4@50B4@100


### 2.2. Material Performance

The C30 fine stone concrete cubes (average compressive strength: 46.6 MPa and standard compressive strength: 39.1 MPa) are used in this test. The specimens are made of B12 longitudinal bars (yield strength: 509 MPa and ultimate strength: 637 MPa), B8 stirrups (yield strength: 438 MPa and ultimate strength: 467 MPa), and B6 stirrups (yield strength: 511 MPa and ultimate strength: 602 MPa). The performance tests of the materials are all tested in Northeast Forestry University.


## 2.1. Specimens

In this experiment, 7 shear wall specimens are designed (on a scale of 1 : 2.5) based on an 18-story shear wall structure of a residential area in Harbin. The specimens are constructed in consideration of the influence of the axial compression ratio, the shear span ratio, the edge component form [13], and the reinforcement ratio of the longitudinal reinforcement stirrup. A standard specimen SW1 is designed for comparison with other specimens, as shown in Figure 1. Table 1 lists the design parameters of the specimens.Figure 1
Design of specimens. (a) Design drawing of SW1 and SW2. (b) Design drawing of SW3. (c) Design drawing of SW4. (d) Design drawing of SW5. (e) Design drawing of SW6. (f) Design drawing of SW7.
(a)(b)(c)(d)(e)(f)Table 1
Design parameters of the shear wall.
Specimen no.SW1SW2SW3SW4SW5SW6SW7Parameter changeStandard specimenAxial compression ratioShear span ratioShear span ratioEdge componentEdge componentReinforcement ratioWall width (mm)1000100010001000100010001000Wall height (mm)2300230014003000300030002300Wall thickness (mm)100100100100100100100Axial compression ratio0.20.50.20.20.20.20.2Shear span ratio2.32.31.43.03.03.02.3Edge componentEmbedded columnEmbedded columnEmbedded columnEmbedded columnT-shaped wing wallH-shaped wing wallEmbedded columnLongitudinal distributing barsB6.5@100B6.5@100B6.5@100B6.5@100B6.5@100B6.5@100B6.5@150Horizontal distributing barsB6.5@100B6.5@100B6.5@100B6.5@100B6.5@100B6.5@100B6.5@150Edge component stirrupsB4@50B4@50B4@50B4@50B4@50B4@50B4@100


## 2.2. Material Performance

The C30 fine stone concrete cubes (average compressive strength: 46.6 MPa and standard compressive strength: 39.1 MPa) are used in this test. The specimens are made of B12 longitudinal bars (yield strength: 509 MPa and ultimate strength: 637 MPa), B8 stirrups (yield strength: 438 MPa and ultimate strength: 467 MPa), and B6 stirrups (yield strength: 511 MPa and ultimate strength: 602 MPa). The performance tests of the materials are all tested in Northeast Forestry University.


## 3. Loading Device and Loading System

### 3.1. Vertical Loading Device

The axial pressure is applied on the top of the specimen by 300 T oil pressure jack. The axial pressure is kept constant by adjusting the pump during loading. The jack is connected with the top reaction frame with a horizontal rolling bearing to ensure that the jack can move smoothly with the specimen during loading. The vertical loads applied on each specimen are shown in Table2.Table 2
Value of vertical load.
NumberSW1SW2SW3SW4SW5SW6SW7Variable—Axial compression ratioShear span ratioShear span ratioBoundary memberBoundary memberReinforcement ratioRatio of axial compression0.20.50.20.20.20.20.2Vertical load (kN)286.0715.0286.0286.0400.4514.8286.0


### 3.2. Horizontal Loading Device

The maximum horizontal thrust is determined by the push-over analysis of Abaqus before the test of shear wall specimens, and the 100 T electro-hydraulic servo actuator of Shore Western Company is selected. In addition, the horizontal support steel beam is welded at the floor of the shear wall component to restrict the deformation outside the plane due to the high aspect ratio of some specimens. The loading device is shown in Figure2, and the material drawing of loading device is shown in Figure 3.Figure 2
Shear wall loading device. (1) Reaction wall. (2) Actuator. (3) Jack. (4) Roller support. (5) Reaction frame. (6) Shear wall specimen. (7) Lateral confined steel beam. (8) Pedestal.Figure 3
Material diagram of shear wall loading device.


### 3.3. Loading System

The loading stage of the specimens can be divided into three stages: preloading stage, cracking displacement control stage, and displacement control stage. Preloading stage: take 40%∼60% of the axial pressure and repeat load 2∼3 times to eliminate the internal heterogeneity of the specimens. Crack displacement control stage: 2 mm is selected as the initial step size for reciprocating loading, and each stage increases 2 mm until the specimen cracks. Displacement control stage: from the beginning of the specimen cracks, the loading is controlled by the displacement with 3 mm per shift until the bearing capacity decreases to 85% or less. Measuring points are shown in Figure4.Figure 4
Arrangement of measuring points.
(a)(b)


## 3.1. Vertical Loading Device

The axial pressure is applied on the top of the specimen by 300 T oil pressure jack. The axial pressure is kept constant by adjusting the pump during loading. The jack is connected with the top reaction frame with a horizontal rolling bearing to ensure that the jack can move smoothly with the specimen during loading. The vertical loads applied on each specimen are shown in Table2.Table 2
Value of vertical load.
NumberSW1SW2SW3SW4SW5SW6SW7Variable—Axial compression ratioShear span ratioShear span ratioBoundary memberBoundary memberReinforcement ratioRatio of axial compression0.20.50.20.20.20.20.2Vertical load (kN)286.0715.0286.0286.0400.4514.8286.0


## 3.2. Horizontal Loading Device

The maximum horizontal thrust is determined by the push-over analysis of Abaqus before the test of shear wall specimens, and the 100 T electro-hydraulic servo actuator of Shore Western Company is selected. In addition, the horizontal support steel beam is welded at the floor of the shear wall component to restrict the deformation outside the plane due to the high aspect ratio of some specimens. The loading device is shown in Figure2, and the material drawing of loading device is shown in Figure 3.Figure 2
Shear wall loading device. (1) Reaction wall. (2) Actuator. (3) Jack. (4) Roller support. (5) Reaction frame. (6) Shear wall specimen. (7) Lateral confined steel beam. (8) Pedestal.Figure 3
Material diagram of shear wall loading device.


## 3.3. Loading System

The loading stage of the specimens can be divided into three stages: preloading stage, cracking displacement control stage, and displacement control stage. Preloading stage: take 40%∼60% of the axial pressure and repeat load 2∼3 times to eliminate the internal heterogeneity of the specimens. Crack displacement control stage: 2 mm is selected as the initial step size for reciprocating loading, and each stage increases 2 mm until the specimen cracks. Displacement control stage: from the beginning of the specimen cracks, the loading is controlled by the displacement with 3 mm per shift until the bearing capacity decreases to 85% or less. Measuring points are shown in Figure4.Figure 4
Arrangement of measuring points.
(a)(b)


## 4. Test Results and Analysis

### 4.1. Record of the Damage Phenomenon

The shear wall specimens are smeared with the mortar on one side of the wall and brushed with latex paint to simulate the decorative surface of the actual structures, while the other side is exposed to clear water concrete surface to observe the failure of the concrete surface. The two sides are photographed by a camera to record the damage phenomenon under each stage of loading characteristic displacement. The camera layout is shown in Figure5.Figure 5
Camera layout of the shear wall.


### 4.2. Test Phenomena

The final breakdown phenomenon of the seven shear walls is shown in Table3.Table 3
Damage pictures of the seven shear walls.
SpecimenConcrete surface damageMortar surface damageDescription of damage phenomenaSW1The mortar falls in large area, and the concrete is crushed so that some longitudinal reinforcements are exposedSW2Corner concrete is yielded, and the longitudinal reinforcements are exposed; specimens’ strength decreases significantlySW3All the corner concrete is crushed and peels off; longitudinal reinforcements are broken, and the crushing area continues to develop to the middle of the sectionSW4The concrete at the corner dark column is completely compressed to peel off under the action of repeated load, and the compression longitudinal reinforcements present a lantern shapeSW5All the concrete at the corner of the compression zone is crushed and peeled off, and some of the tensile longitudinal bars are broken; the compressive longitudinal bars are lantern-shapedSW6Many steel bars are broken and sounded; at this time, the cracks at the root of the specimen are large and the specimen is staggered from the rootSW7The concrete is continuously crushed and peeled off, and the crushed area gradually extends from the corner to the middle of the section; the tensile reinforcements are broken


### 4.3. Shear Wall Hysteresis Curves

Figure6 illustrates the hysteresis curves of the 7 shear wall specimens of the test.Figure 6
Shear wall hysteresis curves. (a) SW1 hysteresis curves. (b) SW2 hysteresis curves. (c) SW3 hysteresis curves. (d) SW4 hysteresis curves. (e) SW5 hysteresis curves. (f) SW6 hysteresis curves. (g) SW7 hysteresis curves.
(a)(b)(c)(d)(e)(f)(g)It can be seen from the above hysteresis curves that each of the specimens has a large stiffness when the displacement is small. In this situation, the specimens can be recovered after unloading because they are still elastic with very small residual deformation. With the increase of the displacement, the components begin to yield and the residual deformation grows. In this case, the specimen can no longer return to the original form, at the same time, more hysteretic energy is consumed. In the later stage of loading, a sharp decline is set in the stiffness and strength of the specimens, and the hysteresis curves are in S-shape with typical pinch effect [14, 15].Comparing the hysteresis curves of SW1 and SW2 specimens, it is observed that the ultimate bearing capacity of the specimens has obviously increased with the axial compression ratio increases, but the ductility has reduced and the energy dissipation capacity of the specimens has weakened. After reaching the maximum bearing capacity, the specimen with larger axial compression ratio experiences faster decline in strength and higher vulnerability to brittle damage.Comparing the hysteresis curves of SW1, SW3, and SW4 specimens, it can be obtained that the increase in the shear span ratio has caused obvious drop of the bearing capacity, apparent growth in ductility, and prominent increase in energy dissipation capacity of the specimens. The longer yield plateau of the specimens and the trend of flattening give evidence of the enhancement of ductility of the specimens.Comparing the hysteresis curves of SW4, SW5, and SW6, it is known that the specimen SW5, which has a T-shaped sectional design, differs slightly from the specimen SW6, which has a H-shaped sectional design. The analysis of the result is that due to the asymmetry of the SW5 specimen section, the forward failure is mainly concrete crushing, and the reinforcement is not broken. For the reason of the small area of concrete in the compression zone, however, the strength of SW5 decreases faster than SW6 as the concrete is crushed after reaching the maximum bearing capacity. Moreover, the negative bearing capacity of the specimen SW5, which has a T-shaped sectional design, has almost the same with that of the specimen SW4, which has a linear-shaped sectional design. However, the negative ductility of the former specimen is stronger than that of the latter. The relationship is explained as follows: the concrete of the SW5 is almost uncrushed, thanks to the large area of concrete in the negative compression zone, and the ductility grows with the continuous elongation of bars. At the same time, the SW6, which has a H-shaped sectional design, exceeds the SW4 in both strength and ductility.Comparing the hysteresis curves of SW1 and SW7, the bearing capacity of the specimens drops significantly with the decrement of the reinforcement ratio, but the ductility and energy dissipation capacity are greatly strengthened. After reaching the maximum bearing capacity, the specimens with smaller reinforcement ratio experience faster decrement in strength.


### 4.4. Damage Identification

Referring to the judgment basis of seismic damage of concrete structures in [16] and combining with the classification of damage levels corresponding to damage phenomena of concrete members proposed by Sun Baitao, the classification of damage levels of shear wall members based on skeleton curve is proposed in Table 4.Table 4
Failure grade of reinforced concrete shear wall members based on skeleton curve.
Damage classificationPerformance of skeleton curveNoteBasically intactStraight line, in the bearing capacity rising sectionComponents are basically in elastic stageMildBending but still before obvious horizontal deflectionNo obvious plastic development of componentsModerateThe decrease of bearing capacity is less than 5%Ductility such as shear failure and bending failure is poor, and the skeleton curve is required to be a finite area of failureCriticalThe decrease of ductile failure bearing capacity does not exceed 15%The failure limit of ductile failure components is 85%FailureDecrease in bearing capacity exceeding limitThe continued load is in an unstable state, and the whole section concrete has basically been fully destroyed


### 4.5. Correspondence between Damages and Indexes

In this paper, the modified Park–Ang damage index is taken as the parameter to evaluate the damage degree of the shear wall. Proposed by Y. J. Park and A. H. S. Ang in 1985, the two-parameter failure criterion gives a linear expression of the maximal deformation and cumulative hysteresis energy dissipation of the component. The supported expressions are written as(1)D=δm−δrδu−δr+βEhQuδu,D=δm−δrδu1−δr,where δm is the maximum deformation of the specimen under load, δr is recoverable deformation (approximated by initial stiffness calculation), Eh is the cumulative hysteresis energy dissipation, β is the energy dissipation factor (obtained by inverse computation of the test data), δu is the displacement when the skeleton curve drops to 85%, δu1 is the limit displacement when the skeleton curve drops to 85% of the maximum load, and Qu is the ultimate load of the component [17].According to the above formulas, the damage indexes of the components under each level of controlled displacement are calculated, and these points are marked on the skeleton curve of each specimen. In this way, the correspondence between damages and damage indexes are obtained. Figure7 shows how the damage indexes correspond to the skeleton curve of SW1.Figure 7
The correspondence between the damage indexes and the skeleton curve of SW1.Because of the reason that this test mainly observes the macroscopic failure phenomena of reinforced concrete shear wall specimens (including the failure phenomena of concrete surface and mortar surface) and prepares for the subsequent calculation of damage index and the establishment of the corresponding “damage legend set,” the record of test phenomena is particularly important.By recording the seismic damages caused by the displacement under each level of load from point A to point L, the correspondence between the damage indexes and damages of SW1 is sorted out [18], as shown in Table 5. The correspondence between the damage indexes and damages of every other specimen is not mentioned to keep this paper reasonably concise.Table 5
Correspondence between the damages and damage indexes of SW1.
PointDisplacementInterstory driftDamage indexDamage conditionDescriptionDamage imageMortar surface layerConcrete surface layerA±1.811/12700.001Basically intact———B±3.951/5820.016Basically intactThe roots are slightly cracked but the cracks disappear after unloadingC±6.081/3780.037Slight damageHorizontal cracks appear, the mortar begins to get exfoliated from the concrete, and vertical cracks appear in the mortarD±7.941/2900.063Slight damageThe mortar is significantly exfoliated, the concrete is slightly cracked, and the longitudinal bars are yieldedE±11.061/2080.110Slight damageThe horizontal main crack develops to half the height of the sectionF±13.981/1650.158Slight damageThe concrete in the compressed zone is slightly crushed, and vertical cracks appear in the concreteG±18.091/1270.228Slight damageThe sound of mortar exfoliation is heard during the loading process, and the mortar is crushed significantlyH±22.841/1010.325Medium damageThe cracks of the two directions intersect each other, the concrete is crushed significantly, and the side mortar drops offI±29.791/770.471Medium damageThe cracks feature even distribution and oblique development, the concrete crushing is intensified, and vertical cracks appearJ±39.731/580.685Severe damageLarge pieces of mortar drop off, and part of the concrete is crushed and drops offK±51.421/450.960Severe damageLarge pieces of mortar drop off, the concrete is severely crushed and exfoliated, and the longitudinal bars are partially exposedL±62.71/371.295Total damageThe concrete at each corner is completely crushed and drops off, and all bars are exposed and yielded


## 4.1. Record of the Damage Phenomenon

The shear wall specimens are smeared with the mortar on one side of the wall and brushed with latex paint to simulate the decorative surface of the actual structures, while the other side is exposed to clear water concrete surface to observe the failure of the concrete surface. The two sides are photographed by a camera to record the damage phenomenon under each stage of loading characteristic displacement. The camera layout is shown in Figure5.Figure 5
Camera layout of the shear wall.


## 4.2. Test Phenomena

The final breakdown phenomenon of the seven shear walls is shown in Table3.Table 3
Damage pictures of the seven shear walls.
SpecimenConcrete surface damageMortar surface damageDescription of damage phenomenaSW1The mortar falls in large area, and the concrete is crushed so that some longitudinal reinforcements are exposedSW2Corner concrete is yielded, and the longitudinal reinforcements are exposed; specimens’ strength decreases significantlySW3All the corner concrete is crushed and peels off; longitudinal reinforcements are broken, and the crushing area continues to develop to the middle of the sectionSW4The concrete at the corner dark column is completely compressed to peel off under the action of repeated load, and the compression longitudinal reinforcements present a lantern shapeSW5All the concrete at the corner of the compression zone is crushed and peeled off, and some of the tensile longitudinal bars are broken; the compressive longitudinal bars are lantern-shapedSW6Many steel bars are broken and sounded; at this time, the cracks at the root of the specimen are large and the specimen is staggered from the rootSW7The concrete is continuously crushed and peeled off, and the crushed area gradually extends from the corner to the middle of the section; the tensile reinforcements are broken


## 4.3. Shear Wall Hysteresis Curves

Figure6 illustrates the hysteresis curves of the 7 shear wall specimens of the test.Figure 6
Shear wall hysteresis curves. (a) SW1 hysteresis curves. (b) SW2 hysteresis curves. (c) SW3 hysteresis curves. (d) SW4 hysteresis curves. (e) SW5 hysteresis curves. (f) SW6 hysteresis curves. (g) SW7 hysteresis curves.
(a)(b)(c)(d)(e)(f)(g)It can be seen from the above hysteresis curves that each of the specimens has a large stiffness when the displacement is small. In this situation, the specimens can be recovered after unloading because they are still elastic with very small residual deformation. With the increase of the displacement, the components begin to yield and the residual deformation grows. In this case, the specimen can no longer return to the original form, at the same time, more hysteretic energy is consumed. In the later stage of loading, a sharp decline is set in the stiffness and strength of the specimens, and the hysteresis curves are in S-shape with typical pinch effect [14, 15].Comparing the hysteresis curves of SW1 and SW2 specimens, it is observed that the ultimate bearing capacity of the specimens has obviously increased with the axial compression ratio increases, but the ductility has reduced and the energy dissipation capacity of the specimens has weakened. After reaching the maximum bearing capacity, the specimen with larger axial compression ratio experiences faster decline in strength and higher vulnerability to brittle damage.Comparing the hysteresis curves of SW1, SW3, and SW4 specimens, it can be obtained that the increase in the shear span ratio has caused obvious drop of the bearing capacity, apparent growth in ductility, and prominent increase in energy dissipation capacity of the specimens. The longer yield plateau of the specimens and the trend of flattening give evidence of the enhancement of ductility of the specimens.Comparing the hysteresis curves of SW4, SW5, and SW6, it is known that the specimen SW5, which has a T-shaped sectional design, differs slightly from the specimen SW6, which has a H-shaped sectional design. The analysis of the result is that due to the asymmetry of the SW5 specimen section, the forward failure is mainly concrete crushing, and the reinforcement is not broken. For the reason of the small area of concrete in the compression zone, however, the strength of SW5 decreases faster than SW6 as the concrete is crushed after reaching the maximum bearing capacity. Moreover, the negative bearing capacity of the specimen SW5, which has a T-shaped sectional design, has almost the same with that of the specimen SW4, which has a linear-shaped sectional design. However, the negative ductility of the former specimen is stronger than that of the latter. The relationship is explained as follows: the concrete of the SW5 is almost uncrushed, thanks to the large area of concrete in the negative compression zone, and the ductility grows with the continuous elongation of bars. At the same time, the SW6, which has a H-shaped sectional design, exceeds the SW4 in both strength and ductility.Comparing the hysteresis curves of SW1 and SW7, the bearing capacity of the specimens drops significantly with the decrement of the reinforcement ratio, but the ductility and energy dissipation capacity are greatly strengthened. After reaching the maximum bearing capacity, the specimens with smaller reinforcement ratio experience faster decrement in strength.


## 4.4. Damage Identification

Referring to the judgment basis of seismic damage of concrete structures in [16] and combining with the classification of damage levels corresponding to damage phenomena of concrete members proposed by Sun Baitao, the classification of damage levels of shear wall members based on skeleton curve is proposed in Table 4.Table 4
Failure grade of reinforced concrete shear wall members based on skeleton curve.
Damage classificationPerformance of skeleton curveNoteBasically intactStraight line, in the bearing capacity rising sectionComponents are basically in elastic stageMildBending but still before obvious horizontal deflectionNo obvious plastic development of componentsModerateThe decrease of bearing capacity is less than 5%Ductility such as shear failure and bending failure is poor, and the skeleton curve is required to be a finite area of failureCriticalThe decrease of ductile failure bearing capacity does not exceed 15%The failure limit of ductile failure components is 85%FailureDecrease in bearing capacity exceeding limitThe continued load is in an unstable state, and the whole section concrete has basically been fully destroyed


## 4.5. Correspondence between Damages and Indexes

In this paper, the modified Park–Ang damage index is taken as the parameter to evaluate the damage degree of the shear wall. Proposed by Y. J. Park and A. H. S. Ang in 1985, the two-parameter failure criterion gives a linear expression of the maximal deformation and cumulative hysteresis energy dissipation of the component. The supported expressions are written as(1)D=δm−δrδu−δr+βEhQuδu,D=δm−δrδu1−δr,where δm is the maximum deformation of the specimen under load, δr is recoverable deformation (approximated by initial stiffness calculation), Eh is the cumulative hysteresis energy dissipation, β is the energy dissipation factor (obtained by inverse computation of the test data), δu is the displacement when the skeleton curve drops to 85%, δu1 is the limit displacement when the skeleton curve drops to 85% of the maximum load, and Qu is the ultimate load of the component [17].According to the above formulas, the damage indexes of the components under each level of controlled displacement are calculated, and these points are marked on the skeleton curve of each specimen. In this way, the correspondence between damages and damage indexes are obtained. Figure7 shows how the damage indexes correspond to the skeleton curve of SW1.Figure 7
The correspondence between the damage indexes and the skeleton curve of SW1.Because of the reason that this test mainly observes the macroscopic failure phenomena of reinforced concrete shear wall specimens (including the failure phenomena of concrete surface and mortar surface) and prepares for the subsequent calculation of damage index and the establishment of the corresponding “damage legend set,” the record of test phenomena is particularly important.By recording the seismic damages caused by the displacement under each level of load from point A to point L, the correspondence between the damage indexes and damages of SW1 is sorted out [18], as shown in Table 5. The correspondence between the damage indexes and damages of every other specimen is not mentioned to keep this paper reasonably concise.Table 5
Correspondence between the damages and damage indexes of SW1.
PointDisplacementInterstory driftDamage indexDamage conditionDescriptionDamage imageMortar surface layerConcrete surface layerA±1.811/12700.001Basically intact———B±3.951/5820.016Basically intactThe roots are slightly cracked but the cracks disappear after unloadingC±6.081/3780.037Slight damageHorizontal cracks appear, the mortar begins to get exfoliated from the concrete, and vertical cracks appear in the mortarD±7.941/2900.063Slight damageThe mortar is significantly exfoliated, the concrete is slightly cracked, and the longitudinal bars are yieldedE±11.061/2080.110Slight damageThe horizontal main crack develops to half the height of the sectionF±13.981/1650.158Slight damageThe concrete in the compressed zone is slightly crushed, and vertical cracks appear in the concreteG±18.091/1270.228Slight damageThe sound of mortar exfoliation is heard during the loading process, and the mortar is crushed significantlyH±22.841/1010.325Medium damageThe cracks of the two directions intersect each other, the concrete is crushed significantly, and the side mortar drops offI±29.791/770.471Medium damageThe cracks feature even distribution and oblique development, the concrete crushing is intensified, and vertical cracks appearJ±39.731/580.685Severe damageLarge pieces of mortar drop off, and part of the concrete is crushed and drops offK±51.421/450.960Severe damageLarge pieces of mortar drop off, the concrete is severely crushed and exfoliated, and the longitudinal bars are partially exposedL±62.71/371.295Total damageThe concrete at each corner is completely crushed and drops off, and all bars are exposed and yielded


## 5. Conclusion

This paper develops a novel method for postseismic safety identification of RC shear wall based on the Park–Ang damage index. Through the low cyclic loading test of 7 specimens of shear wall, the damage images taken at the controlled displacement under each level of load are recorded, the damage indexes are calculated, and the atlas for the indexes and damages are provided. Besides, the authors compare the damage modes and seismic performance of the components under different design parameters (the shear wall’s axial compression ratio, shear span ratio, from edge component, reinforcement ratio, stirrup reinforcement ratio of the coupling beam, and span-depth ratio). The research serves as the basis for the safety identification of the shear walls with different design parameters in quake-hit regions. The conclusions are as follows:(1)
For the shear wall component, the ductility of each specimen decreases with the increase of the axial compression ratio, but there is an obvious upsurge in bearing capacity; if the shear span ratio grows, the ductility of each specimen will increase obviously, but the bearing capacity will plunge; the specimens experience great improvement of bearing capacity and ductility when the edge component is reinforced. For the coupling beam component, the increase in the span-depth ratio will cause prominent increase in the ductility of the coupling beam and sharp drop in the bearing capacity, while the reduction in stirrup reinforcement ratio will result in obvious decline of the bearing capacity and ductility of the components.(2)
The damages to the mortar surface layer are more significant than those to the concrete surface layer, therefore, are more representative. In the quake-hit regions, researchers should first observe the damages to the mortar surface layer before removing the layer to observe the damages to the concrete surface layer. Besides, most of the damages to the shear wall structure are concentrated in the bottom plastic hinge area. The damage indexes of a specific component can be determined by comparing the seismic damages at the site and the damage images in the atlas.(3)
According to the existing research results and nonlinear time history analysis of shear wall structures, the relationship and calculation model between component damage and overall structure damage will be given in the future. The damage index of the overall structure can be calculated by the damage index of specific components so that the damage level of the overall structure will be obtained. This study will provide technical support for the damage determination of shear wall structure based on the performance index.



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