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Continuum Mechanics: Constitutive Modeling of Structural and Biological Materials

Autor Franco M. Capaldi
en Limba Engleză Paperback – 29 ian 2015
This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples. The author presents both the general continuum theory and the mathematics needed to apply it in practice. The derivation of constitutive models for ideal gases, fluids, solids and biological materials, and the numerical methods required to solve the resulting differential equations, are also detailed. Specifically, the text presents the theory and numerical implementation for the finite difference and the finite element methods in the Matlab® programming language. It includes thirteen detailed Matlab® programs illustrating how constitutive models are used in practice.
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Specificații

ISBN-13: 9781107480995
ISBN-10: 110748099X
Pagini: 358
Ilustrații: 81 b/w illus. 30 tables
Dimensiuni: 180 x 255 x 18 mm
Greutate: 0.62 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States

Cuprins

1. Mathematics; 2. Kinematics; 3. The stress tensor; 4. Introduction to material modeling; 5. Ideal gas; 6. Fluids; 7. Elastic material models; 8. Continuum mixture theory; 9. Growth models; 10. Parameter estimation and curve fitting; 11. Finite element method; 12. Appendix.

Recenzii

"Preface: "This textbook is designed to give students an understanding and appreciation of continuum-level material modelling""
-Mathematical Reviews

Notă biografică


Descriere

Designed for continuum mechanics courses and features both the theoretical framework and numerical methods required to model continuous material behaviour.