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1 Burnside - Bldg. 2 Physics- Classical Mechanics

Continuum Mechanics Concise Theory & 2ND Edition

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Continuum Mechanics Concise Theory & 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

Written in response to the dearth of practical and meaningful textbooks in the field of fundamental continuum mechanics, this comprehensive treatment offers students and instructors an immensely useful tool. Its 115 solved problems and exercises not only provide essential practice but also systematically advance the understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations.

Readers follow clear, formally precise steps through the central ideas of classical and modern continuum mechanics, expressed in a common, efficient notation that fosters quick comprehension and renders these concepts familiar when they reappear in other contexts. Completion of this brief course results in a unified basis for work in fluid dynamics and the mechanics of solid materials, a foundation of particular value to students of mathematics and physics, those studying continuum mechanics at an intermediate or advanced level, and postgraduate students in the applied sciences. "Should be excellent in its intended function as a problem book to accompany a lecture course." — Quarterly of Applied Math.

Synopsis:

Comprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations.

Synopsis:

Comprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations.

Description:

Includes bibliographical references and index.

Table of Contents

1 VECTOR AND TENSOR THEORY

  1 Vector algebra

  2 Tensor algebra

  3 The tensor product

  4 Proper vectors and proper numbers of tensors

  5 Symmetric tensors

  6 Skew-symmetric tensors

  7 Orthogonal tensors

  8 Polar decompositions

  9 Geometrical consideration: Coordinates

  10 "Scalar, vector and tensor fields"

  11 Integral theorems

  Exercises

2 BASIC KINEMATICS

  1 "Bodies, configurations and motions"

  2 The referential and spatial descriptions

  3 The deformation and velocity gradients

  4 Stretch and rotation

  5 Stretching and spin

  6 Circulation and vorticity

  Exercises

3 "BALANCE LAWS, FIELD EQUATIONS AND JUMP CONDITIONS"

  1 Mass

  2 "Momentum, force and torque"

  3 The theory of stress

  4 Equations of motion

  5 Energy

  6 Jump conditions

  Exercises

4 CONSTITUTIVE EQUATIONS

  1 Basic constitutive statement

  2 Examples of constitutive equations

  3 Observer transformations

  4 Reduced constitutive equations

  5 Material symmetry

  6 Internal constraints

  7 Incompressible Newtonian viscous fluids

  8 Isotropic elastic materials

  Exercises

Hints and Answers to Exercises

Appendices

Index

Product Details

ISBN:
9780486401805
Author:
Chadwick, P.
Author:
Chadwick, Peter
Author:
Physics
Author:
Chadwick, P.
Publisher:
Dover Publications
Location:
Mineola, N.Y. :
Subject:
Physics
Subject:
Mechanics
Subject:
Continuum mechanics
Subject:
Mechanics - General
Subject:
Physics-Classical Mechanics
Copyright:
Edition Number:
2
Edition Description:
Trade Paper
Series:
Dover Books on Physics
Series Volume:
43
Publication Date:
19980131
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
192
Dimensions:
8.5 x 5.38 in 0.45 lb

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Continuum Mechanics Concise Theory & 2ND Edition Used Trade Paper
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Product details 192 pages Dover Publications - English 9780486401805 Reviews:
"Synopsis" by ,
Comprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations.

"Synopsis" by ,
Comprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations.

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