Constitutive Models of Solid Materials
From Mechanical Principles to Engineering Applications
Constitutive Models of Solid Materials
From Mechanical Principles to Engineering Applications
Covers a wide range of essential concepts and skills, from continuum mechanics to advanced constitutive modeling, addressing the needs of both academics and professionals.
Chapter 1 Tensor analysis
Chapter 1 Tensor analysis
1.1 Basic concepts of tensors
1.2 Summation conventions and coordinate transformation
1.3 Tensor operation
1.4 Commonly used tensors and their operations
Chapter 2 Overview of continuum mechanics
2.1 Axioms of continuum mechanics
2.2 Displacement and deformation
2.3 Stress and strain
2.4 Fundamental laws of continuum mechanics
Chapter 3 Theoretical basis of elasticity and plasticity
3.1 Constitutive principle
3.2 Elastic constitutive Theory
3.3 Plasticity theory
3.4 Research Frontier
Chapter 4 Damage mechanics model
4.1 Research methods of damage mechanics
4.2 Definition of material damage and damage variables
4.3 Damage evolution equation
Chapter 5 Foundation of meso-mechanics
5.1 Basic concepts of meso-mechanics
5.2 Eshelby Characteristic strain theory and equivalent Inclusion Theory
5.3 Hill's Theorem
5.4 Mean-field method based on Eshelby equivalent inclusion theory
Chapter 6 Numerical implementation
6.1 Nonlinear solution method
6.2 Integral algorithm for small deformation plastic deformation
6.3 Integration algorithm for small deformation visco-plastic deformation
6.4 Mesoscopic constitutive implementation
6.5 Finite element realization of constitutive relations with ABAQUS
Chapter 7 Constitutive model of metal solder and its application
Chapter 8 Viscoelastic constitutive model of amorphous alloys and its application
Chapter 9 Macro and micro constitutive model of rock materials and its application
Chapter 10 Constitutive model of Concrete and its application
Chapter 11 The impact of deep learning algorithms on constitutive theory
Chapter 12 Application examples of deep learning algorithms in constitutive theory
Yao, Yao
Fang, Hu
Guo, Hongcun
Zeng, Tao
He, Xu
| ISBN | 9783527355532 |
|---|---|
| Artikelnummer | 9783527355532 |
| Medientyp | Buch |
| Auflage | 1. Auflage |
| Copyrightjahr | 2026 |
| Verlag | Wiley-VCH |
| Umfang | 336 Seiten |
| Sprache | Englisch |
