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Full Description
Explore constitutive modeling from fundamental theory through cutting-edge AI applications
Constitutive Models of Solid Materials: From Mechanical Principles to Engineering Applications provides researchers and engineers with comprehensive methods to predict material responses under complex loading conditions. Written by internationally recognized experts in materials mechanics and computational methods, this systematic treatment connects rigorous theoretical foundations to practical engineering applications, demonstrating the accurate modeling of material behavior across multiple scales.
The text progresses methodically from tensor analysis and continuum mechanics through elasticity, plasticity, and damage mechanics to micromechanics and numerical implementation strategies. Coverage extends to artificial intelligence integration in constitutive research, featuring Physics-Informed Neural Networks for constitutive parameter prediction. Four detailed case studies examine sintered nano-silver, high-strength steel, solder alloys, rock modeling, and high-temperature concrete performance.
The book offers:
Comprehensive coverage from mathematical foundations through elastoplastic theory, damage mechanics, and micromechanics to AI-enhanced modeling approaches
Numerical implementation strategies including time-stepping schemes, Newton-Raphson iteration, and elastic predictor plastic corrector methods for simulations
Detailed case studies on sintered nano-silver, high-strength steels, solder alloys, rocks, and concrete under extreme conditions
Integration of machine learning including Artificial Neural Networks, XGBoost, and Physics-Informed Neural Networks with example programs
Multiscale frameworks combining Eshelby's theory, Hill's method, and homogenization techniques linking microstructure to macroscopic behavior
This comprehensive resource serves materials scientists, mechanical engineers, civil engineers, aerospace professionals, and graduate students seeking to master constitutive modeling. By combining rigorous mathematical formulation with computational methods and practical case studies, it provides an essential foundation for advanced materials research and engineering practice.
Contents
Preface xi
1 Overview of Continuum Mechanics 1
2 Fundamentals of Elasticity Theory 31
3 Plastic Constitutive Theory 59
4 Damage Constitutive Principles and Methods 87
5 Basics of Micromechanics 103
6 Numerical Implementation of Constitutive Relations 123
7 Artificial Intelligence in Constitutive Research 153
8 Tensile Creep Failure Mechanism and Theoretical Model of Sintered Nano-silver 179
9 Unified Creep-plasticity Model for High-strength Steel and Solder Alloys 193
10 A Multiscale Framework for the Constitutive Modeling of Rock 209
11 Development of a High Temperature Constitutive Model for Concrete Based on Elastoplastic Theory 235
References 270
Appendix 275
Index 287
