Continuum Mechanics
Constitutive Modeling of Structural and Biological Materials

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

Franco M. Capaldi (Author)

9781107480995, Cambridge University Press

Paperback / softback, published 29 January 2015

358 pages, 81 b/w illus. 30 tables
25.5 x 18 x 1.8 cm, 0.7 kg

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

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.

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.

Subject Areas: Mechanics of fluids [TGMF], Mechanics of solids [TGMD], Materials science [TGM], Mechanical engineering & materials [TG], Fluid mechanics [PHDF], Classical mechanics [PHD]