General Continuum Mechanics and Constitutive Modeling - Softcover

Ottosen, Niels Saabye

Softcover

ISBN 10: 0443338434 ISBN 13: 9780443338434

Publisher: Elsevier, 2024

Synopsis

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

About this title

About the Author

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.

From the Back Cover

General Continuum Mechanics and Constitutive Modeling starts with a comprehensive treatment of tensor algebra, 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.

Edition details

• Publisher: Elsevier
• Publication date: 2024
• Language: English
• ISBN 10: 0443338434
• ISBN 13: 9780443338434
• Binding: Paperback
• Edition number: 1
• Number of pages: 398