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  3. Continuum Mechanics
  • Cited by 11
Publisher:
Cambridge University Press
Online publication date:
August 2012
Print publication year:
2012
Online ISBN:
9780511996528
DOI:
https://doi.org/10.1017/CBO9780511996528
Subjects:
Mathematics, Engineering, Fluid Dynamics and Solid Mechanics, Solid Mechanics and Materials
Information

Book description

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.

Reviews

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

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