General Continuum Mechanics and Constitutive Modeling

Niels Saabye Ottosen (Autor)

Buch | Softcover

398 Seiten

2024
Elsevier - Health Sciences Division (Verlag)
978-0-443-33843-4 (ISBN)

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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.

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.

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 hypo-elasticity
12. Plasticity based on hyperelasticity

Erscheinungsdatum	05.12.2024
Verlagsort	Philadelphia
Sprache	englisch
Maße	152 x 229 mm
Gewicht	450 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
ISBN-10	0-443-33843-4 / 0443338434
ISBN-13	978-0-443-33843-4 / 9780443338434
Zustand	Neuware