General Continuum Mechanics and Constitutive Modeling
- 1st Edition - December 4, 2024
- Latest edition
- Author: Niels Saabye Ottosen
- Language: English
General Continuum Mechanics and Constitutive Modeling starts with a comprehensive treatment of tensor algebra that is followed by coverage of strains, stresses, and thermo… Read more
General Continuum Mechanics and Constitutive Modeling starts with a comprehensive treatment of tensor algebra that is followed by coverage of strains, stresses, and thermodynamics. General principles for constitutive modeling are presented, including objectivity, Lie-derivative, and covariance, as are issues central to configurational mechanics, such as polyconvexity and invariance principles used to establish balance equations. The book includes a chapter on hyperelasticity which analyzes isotropic and anisotropic materials, and also discusses the distinction between energetic and entropic material response.
The finite element method and classic plasticity based on hypoelasticity are each covered, and the book concludes with a chapter covering plasticity based on hyperplasticity, including isotropy, anisotropy, thermoplasticity, and crystal plasticity.
The finite element method and classic plasticity based on hypoelasticity are each covered, and the book concludes with a chapter covering plasticity based on hyperplasticity, including isotropy, anisotropy, thermoplasticity, and crystal plasticity.
- Covers the fundamental concepts of polyconvexity, invariance principles, configurational mechanics, and hyperelasticity and plasticity in a clear and concise manner
- Describes general continuum mechanics and constitutive modeling for large deformations and rotations, with all tensor expressions written in direct notation and component and base vectors referring to arbitrary curvilinear coordinate systems
- Presents general principles for constitutive modeling, including topics such as objectivity, Lie-derivative, covariance, thermoelasticity, the differences between energetic and entropic material response, and more
Researchers, academics, and advanced undergrad and grad students within the field of solid mechanics
1. Tensor algebra in general coordinates
2. Kinematics
3. Stresses and balance equations
4. Thermodynamics
5. General principles for constitutive modeling
6. Configurational mechanics
7. Balance equations established using invariance principles
8. Convexity of strain energy function
9. Hyperelasticity
10. Finite element formulation of hyperplasticity
11. Plasticity based on hypo-elasticity
12. Plasticity based on hyperelasticity
2. Kinematics
3. Stresses and balance equations
4. Thermodynamics
5. General principles for constitutive modeling
6. Configurational mechanics
7. Balance equations established using invariance principles
8. Convexity of strain energy function
9. Hyperelasticity
10. Finite element formulation of hyperplasticity
11. Plasticity based on hypo-elasticity
12. Plasticity based on hyperelasticity
- Edition: 1
- Latest edition
- Published: December 4, 2024
- Language: English
NO
Niels Saabye Ottosen
has been a Professor in the Solid Mechanics Division, Lund University, Sweden since 1991. His research is focused in continuum mechanics, material modeling, and finite element method.
Affiliations and expertise
Solid Mechanics Division, Lund University, SwedenRead General Continuum Mechanics and Constitutive Modeling on ScienceDirect