Mathematical Modeling in Continuum Mechanics

By: Roger Temam, Alain Miranville

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Paperback | 28 June 2005 | Edition Number 2

At a Glance

Paperback
356 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 2.01

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Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrodinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics."

Industry Reviews

'This second edition is a unique resource for physicists, applied mathematicians and engineers studying the general themes of fluid and solid mechanics. ... an ideal self-study vehicle for practicing physicists, applied mathematicians and engineers. Furthermore, it is an excellent introductory text for advanced engineering students and anyone interested in continuum mechanics.' Zentralblatt MATH

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You Can Find This Book In

Non-Fiction Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Fluids Science Physics Classical Mathematics Fluid Mechanics Mathematics Applied Mathematics Nonlinear Science

Mathematical Modelling

Introduction
A few words about notations
Fundamental Concepts in Continuum Mechanics
Describing the motion of a system: geometry and kinematics
The fundamental law of dynamics
The Cauchy stress tensor - applications
Real and virtual powers
Deformation tensor, deformation rate tensor, constitutive laws
Energy equations and shock equations
Physics of Fluids
General properties of Newtonian fluids
Flows of inviscid fluids
Viscous fluids and thermohydraulics
Magnetohydrodynamics and inertial confinement of plasmas
Combustion
Equations of the atmosphere and of the ocean
Solid Mechanics
The general equations of linear elasticity
Classical problems of elastostatics
Energy theorems - duality: variational formulations
Introduction to nonlinear constitutive laws and to homogenization
Nonlinear elasticity and an application to biomechanics
Introduction to Wave Phenomena
Linear wave equations in mechanics
The soliton equation: the Kortewed-de Vries equation
The nonlinear Schr¶dinger equation
Appendix
Hints for the exercises
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Mathematical Modeling in Continuum Mechanics

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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