General Continuum Mechanics and Constitutive Modeling

Niels Saabye Ottosen (Solid Mechanics Division, Lund University, Sweden)

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English

Elsevier - Health Sciences Division
04 December 2024

Classical mechanics; Mechanical engineering; Materials science; Computer science

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.

By: Niels Saabye Ottosen (Solid Mechanics Division Lund University Sweden)
Imprint: Elsevier - Health Sciences Division
Country of Publication: United States
Dimensions: Height: 229mm, Width: 152mm,
Weight: 450g
ISBN: 9780443338434
ISBN 10: 0443338434
Pages: 398
Publication Date: 04 December 2024
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

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.