Numerical Modeling of Concrete Cracking [electronic resource] /
International Centre for Mechanical Sciences.
Hofstetter, Guenter.editor.
Meschke, Guenther.editor.
The book presents the underlying theories of the different approaches for modeling cracking of concrete and provides a critical survey of the state-of-the-art in computational concrete mechanics. It covers a broad spectrum of topics related to modeling of cracks, including continuum-based and discrete crack models, meso-scale models, advanced discretization strategies to capture evolving cracks based on the concept of finite elements with embedded discontinuities and on the extended finite element method,  and extensions to coupled problems such a hygro-mechanical problems as required in computational durability analyses of concrete structures.
Description based upon print version of record.
Title Page; Copyright Page; PREFACE; Table of Contents; Damage and Smeared Crack Models; 1 Isotropic Damage Models; 1.1 One-Dimensional DamageModel; 1.2 DamageModels with Strain-Based Loading Functions; 2 Smeared Crack Models; 2.1 One-Dimensional Smeared Crack Model; 2.2 Multi-Dimensional Smeared Crack Models; 2.3 Fixed Crack Model; 2.4 Rotating Crack Model; 2.5 Rotating Crack Model with Transition to Scalar Damage; 2.6 Examples of Failure Simulations; 3 Strain Localization due to Softening; 3.1 Strain Localization in One Dimension; 3.2 Strain Localization in Multiple Dimensions
3.3 Mesh-Adjusted Softening Modulus (Crack Band Approach)4 Regularized Softening Models; 4.1 Integral-Type Nonlocal Models; 4.2 Gradient-Enhanced Models; 4.3 Examples of Failure Simulations; Acknowledgment; Bibliography; Cracking and Fracture of Concrete at Meso-levelusing Zero-thickness Interface Elements; 1. Introduction; 1.1. Historical Aspects, General Considerations; 1.2. Meso-structural Geometries, Discretization; 1.3. Fracture-based Interface Constitutive Law with Aging Effect; 1.4. Aging Viscoelastic Model for the Matrix-phase; 2. Original Results in 2D under Mechanical Loading
3. Extension to 3D3.1. Geometry and Meshes; 3.2. Extension of the Constitutive Model to 3D; 3.3. Computational and Graphics Aspects; 3.4. Results; 4. Deterioration due to Diffusion-driven EnvironmentalPhenomena: Drying Shrinkage and External Sulphate Attack; 4.1. Hygro-mechanical Modeling of Drying Shrinkage; 4.2. Chemo-mechanical Analysis of External Sulfate Attack; Description of the chemo-transport model; Main results of the model; 5. Concluding remarks and on-going developments; Acknowledgements; References; Crack Models with Embedded Discontinuities
1 Fracture Problem Approaches Based on ContinuumConstitutive Relations1.1 Motivation: Idealization of the Fracture Process Zone (FPZ) in Quasi-Brittle Material; 1.2 Stability and Uniqueness of the Mechanical Boundary Value Problem(BVP); 1.3 Example of a Material Model Subjected to Stability Loss and Bifurcation:Isotropic continuum damage model for concrete; 2 Material Failure Analysis Using the Continuum-StrongDiscontinuity Approach (CSDA); 2.1 Motivation; 2.2 The 1D Continuum-Strong Discontinuity Approach (CSDA); 2.3 The Continuum-Strong Discontinuity Approach in 3D Problems
3 Finite Elements with Embedded Discontinuities3.1 Strong Discontinuities: The Local Form of the BVP Governing Equations; 3.2 A Variational Consistent Formulation of the BVP with Strong Discontinuities; 3.3 Finite Elements with Embedded Discontinuities; 3.4 An Embedded Strong Discontinuity FE not Needing the Crack PathContinuity Enforcement; 4 Algorithmic Aspects of the CSDA; 4.1 A Global Tracking Algorithm; 4.2 Factors Influencing the Stability and Accuracy of the Numerical Method; 5 Applications of the CSDA Methodology to ConcreteFracture Problems; 5.1 Modeling the Fracture Process Zone
5.1.1 The Three-Point Bending Test
Includes bibliographical references.
The book presents the underlying theories of the different approaches for modeling cracking of concrete and provides a critical survey of the state-of-the-art in computational concrete mechanics. It covers a broad spectrum of topics related to modeling of cracks, including continuum-based and discrete crack models, meso-scale models, advanced discretization strategies to capture evolving cracks based on the concept of finite elements with embedded discontinuities and on the extended finite element method,  and extensions to coupled problems such a hygro-mechanical problems as required in computational durability analyses of concrete structures.
Building materials.
Computer mathematics.
Structural materials.
Building Materials.
Computational Science and Engineering.
Structural Materials.
Courses and lectures /