Computational Viscoelasticity [electronic resource] /
Marques, Severino P. C.author.
Creus, Guillermo J.author.
This text is a guide how to solve problems in which viscoelasticity is present using existing commercial computational codes. The book gives information on codes’ structure and use, data preparation  and output interpretation and verification. The first part of the book introduces the reader to the subject, and to provide the models, equations and notation to be used in the computational applications. The second part shows the most important Computational techniques: Finite elements formulation, Boundary elements formulation, and presents the solutions of Viscoelastic problems with Abaqus.
Description based upon print version of record.
Computational Viscoelasticity; Preface; Contents; 1 Introduction; 1.1...Historical Context; 1.2...Basic Experimental Results; 1.3...Constitutive Relations; 1.3.1 Dependence on Time History;  Elastic and Viscoelastic Materials; 1.3.2 Dependence on Stress: Linearity; 1.3.3 Dependence on Age: Aging; 1.4...State Variables Formulation; 1.5...Computational Viscoelasticity; References; 2 Rheological Models: Integral and Differential Representations; 2.1...General Integral Relations; 2.2...Rheological Models; 2.2.1 The Basic Elements: Spring and Dashpot; 2.2.2 Maxwell Model; 2.2.3 Kelvin Model
2.3...Generalized Models2.3.1 General Differential Representation; 2.4...Integral and Differential Operators; 2.5...Thermodynamic Restrictions; References; 3 State Variables Approach; 3.1...Basic Formulation; 3.2...Incremental Determination of State Variables; 3.3...Physical Grounds and Extensions; References; 4 Multidimensional Viscoelastic Relations; 4.1...General Relations; 4.2...Isotropic Materials; 4.2.1 Integral and Differential Representations; 4.2.2 State Variables Representation; 4.2.3 Determination of Creep and Relaxation Functions; 4.3...Anisotropic Materials
4.3.1 Constitutive Relation for an Anisotropic Material4.3.2 State Variables Representation; 5 Laplace Transform Solutions; 5.1...Relations Among Viscoelastic Constitutive Representations and Functions; 5.2...Correspondence Principle; 5.3...Numerical Inversion of Laplace Transform; References; 6 Temperature Effect; 6.1...Linear Thermoviscoelasticity; 6.2...Temperature Effects in Polymers; 6.3...Thermorheologically Simple Materials; 6.3.1 Time-Shifting Factor; 6.3.2 Real Time Behavior; 6.3.3 Anisotropic Materials; 6.4...Thermo-Rheologically Complex Materials; 6.5...Temperature Effects in Concrete; References
7 Materials with Aging7.1...Experimental Results; 7.2...Viscoelastic Aging Formulation; 7.3...Rheological Models with Time Variable Parameters; 7.4...Representation by Means of State Variables; 7.5...Aging and the Time Shifting Procedure; References; 8 Nonlinear Viscoelasticity; 8.1...Schapery Single Integral Non-Linear Viscoelasticity; 8.2...Nonlinear Viscoelasticity at Large Strains in Integral Form; 8.2.1 General Constitutive Relation; 8.2.2 Multiple Integral Representations; 8.2.3 Pipkin--Rogers Model; 8.2.4 Quasi-Linear Viscoelastic Model
8.3...Nonlinear Viscoelasticity at Large Strains Using State Variables8.3.1 Hyperelastic Formulation; 8.3.2 Viscoelastic Small Strain Relations; 8.3.3 Formulation of the Nonlinear Viscoelastic Model; References; 9 Viscoelastic Finite Element Formulation; 9.1...Principle of Virtual Displacements; 9.2...Linearization of the Principle of Virtual Displacements; 9.3...Nonlinear Viscoelastic Finite Element Formulation; 9.4...Numerical Solution of the Equilibrium Equation; 9.5...Procedures of the Viscoelastic Finite Element Analysis; References; 10 The Boundary Element Method for Viscoelasticity Problems
10.1...Linear Elastic Problems and Somigliana Identity
Includes bibliographical references and index.
This text is a guide how to solve problems in which viscoelasticity is present using existing commercial computational codes. The book gives information on codes’ structure and use, data preparation  and output interpretation and verification. The first part of the book introduces the reader to the subject, and to provide the models, equations and notation to be used in the computational applications. The second part shows the most important Computational techniques: Finite elements formulation, Boundary elements formulation, and presents the solutions of Viscoelastic problems with Abaqus.
Mechanics.
Mechanics, Applied.
Materials science.
Solid Mechanics.
Characterization and Evaluation of Materials.
SpringerBriefs in Applied Sciences and Technology