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The mechanics of constitutive modeling

Author: Niels Saabye Ottosen; Matti Ristinmaa
Publisher: Amsterdam ; London : Elsevier, 2005.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ottosen, Niels Saabye.
Mechanics of constitutive modeling.
Amsterdam ; London : Elsevier, 2005
(DLC) 2006273557
(OCoLC)60740765
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Niels Saabye Ottosen; Matti Ristinmaa
ISBN: 9780080446066 008044606X 9780080525693 0080525695
OCLC Number: 162130104
Description: 1 online resource (xii, 745 pages) : illustrations
Contents: Chapter 1. Notations and Cartesian tensors --
Chapter 2. Strain tensor --
Chapter 3. Stress tensor --
Chapter 4. Hyper-elasticity --
Chapter 5. Cauchy-elasticity --
Chapter 6. Representation theorems --
Chapter 7. Hypo--elasticity --
Chapter 8. Failure and initial yield criteria --
Chapter 9. Introduction to plasticity theory --
Chapter 10. General plasticity theory --
Chapter 11. Plastic collapse theorems --
Chapter 12. Common plasticity models --
Chapter 13. Nonlinear kinematic hardening laws --
Chapter 14. Introduction to time-dependent material behavior --
Chapter 15. Creep and viscoplasticity --
Chapter 16. Nonlinear finite element method --
Chapter 17. Solution of nonlinear equilibrium equations --
Chapter 18. Integration of constitutive equations --
Chapter 19. Solution of dynamic finite element equations --
Chapter 20. Basic principles of thermodynamics --
Chapter 21. Thermodynamic framework for constitutive modeling --
Chapter 22. Plasticity, viscoplasticity and viscoeasticity --
Chapter 23. Thermo-plasticity --
Chapter 24. Uniqueness and discontinuous bifurcations --
A Convexity --
Minimiza tion of function subject to constraints.
Responsibility: Niels Saabye Ottosen, Matti Ristinmaa.
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Abstract:

Constitutive modelling is the mathematical description of how materials respond to various loadings. This title covers topics such as: elasticity; plasticity theory; creep theory; the nonlinear  Read more...

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