Constitutive Models of Solid Materials

From Mechanical Principles to Engineering Applications
1. Auflage 2026
ISBN: 978-3-527-35553-2
Verlag: WILEY-VCH

Buch, Englisch, 304 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 680 g

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.

Autoren/Hrsg.

Yao, Yao

Fang, Hu

Guo, Hongcun

Zeng, Tao

He, Xu

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffkunde, Materialwissenschaft: Forschungsmethoden
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik

Inhaltsverzeichnis

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

Chapter 01 Overview of Continuum Mechanics
Chapter 02 Fundamentals of Elasticity Theory
Chapter 03 Plastic Constitutive Theory
Chapter 04 Damage constitutive principles and methods
Chapter 05 Basics of Micromechanics
Chapter 06 Numerical Implementation of Constitutive Relations
Chapter 07 Artificial Intelligence in Constitutive Research
Chapter 08 Tensile Creep Failure Mechanism and Theoretical
Chapter 09 Unified creep-plasticity model for high strength steel and solder alloys
Chapter 10 A multiscale framework for the constitutive modeling of rock
Chapter 11Development of a high temperature constitutive model for concrete based on elastoplastic theory

Über Autor(innen)

Prof. Yao Yao has long been engaged in the research of mechanical properties of materials and disaster prevention of engineering structures under extreme loads. His research interests include engineering material constitution, fatigue and damage under multi-physical field, new chip and electronic packaging materials and structural performance, research and development of new green building materials and disaster prevention and mitigation of high temperature structures, flexible electronic devices, etc.
 
Dr. Hu Fang is mainly engaged in the development of high-temperature damage constitutive models for solid materials, the research on material fracture and damage theory, and the research on the mechanical properties of composite material interfaces.
 
Dr. Hongcun Guo's research focuses on the mechanical behavior of green building materials, the high-temperature mechanical properties of ultra-high performance concrete (UHPC), and the development of constitutive models.
 
Dr. Tao Zeng focuses on research related to underground engineering, including rock mechanics and the development of micromechanical models of rock materials. Dr. Zeng currently serves as a council member of the Shaanxi Society for Rock Mechanics and Engineering.
 
Dr. Xu He is mainly engaged in multi-scale modeling of mechanical properties, constitutive behavior and failure processes of advanced materials under extreme loads, as well as related computational mechanics and numerical modeling.