
- 450 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
General Continuum Mechanics and Constitutive Modeling
About this book
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.- 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
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Title of Book
- 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 hyperelasticity
- 11: Plasticity based on hypoelasticity
- 12: Plasticity based on hyperelasticity
- Bibliography
- Index