MTU Library Catalogue

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Mathematical modeling in continuum mechanics / Roger Temam and Alain Miranville.

By: Temam, Roger.
Contributor(s): Miranville, Alain.
Material type: materialTypeLabelBookPublisher: Cambridge ; New York : Cambridge University Press, 2001Description: xiii, 288 p. : ill. ; 24 cm. + hbk.ISBN: 0521643627 (hbk).Subject(s): Continuum mechanics -- Mathematical modelsDDC classification: 531.015118
Contents:
Part one: Fundamental concepts in continuum mechanics -- Part two: Physics of fluids -- Part three: Solid mechanics -- Part four: Introduction to wave phenomena.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 531.015118 (Browse shelf(Opens below)) 1 Available 00095637
General lending MTU Bishopstown Library Lending 531.015118 (Browse shelf(Opens below)) 1 Available 00097773
Total holds: 0

Enhanced descriptions from Syndetics:

Continuum mechanics is widely taught to graduate students in applied mathematics, physics, and engineering, providing the basis for further study in fluid and solid mechanics. Presentations of the subject, however, vary greatly in their level of formalism, being either engineering and example oriented or mathematically over-sophisticated. Temam and Miranville provide a rigorous presentation of the underlying mathematics and physics of the problem, avoiding unnecessary use of function spaces. The authors then build on this base to 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 Schrödinger equation. This original text should 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.

Includes bibliographical references (pages 281-283) and index.

Part one: Fundamental concepts in continuum mechanics -- Part two: Physics of fluids -- Part three: Solid mechanics -- Part four: Introduction to wave phenomena.

Table of contents provided by Syndetics

  • Introduction
  • A few words about notations
  • Part I Fundamental Concepts in Continuum Mechanics
  • 1 Describing the motion of a system: geometry and kinematics
  • 2 The fundamental law of dynamics
  • 3 The Cauchy stress tensor - applications
  • 4 Real and virtual powers
  • 5 Deformation tensor, deformation rate tensor, constitutive laws
  • 6 Energy equations and shock equations
  • Part II Physics of Fluids
  • 7 General properties of Newtonian fluids
  • 8 Flows of inviscid fluids
  • 9 Viscous fluids and thermohydraulics
  • 10 Magnetohydrodynamics and inertial confinement of plasmas
  • 11 Combustion
  • 12 Equations of the atmosphere and of the ocean
  • Part III Solid Mechanics
  • 13 The general equations of linear elasticity
  • 14 Classical problems of elastostatics
  • 15 Energy theorems - duality: variational formulations
  • 16 Introduction to nonlinear constitutive laws and to homogenization
  • 17 Nonlinear elasticity and an application to biomechanics
  • Part IV Introduction to Wave Phenomena
  • 18 Linear wave equations in mechanics
  • 19 The soliton equation: the Kortewed-de Vries equation
  • 20 The nonlinear Schrödinger equation
  • Appendix
  • Hints for the exercises
  • References
  • Index