Introduction to continuum mechanics / W. Michael Lai, David Rubin, Erhard Krempl.

Format:

Book

Author/Creator:

Lai, W. Michael, 1930- author.

Rubin, David, 1942- author.

Krempl, Erhard, author.

Language:

English

Subjects (All):

Continuum mechanics.

Physical Description:

1 online resource (571 p.)

Edition:

3rd ed.

Place of Publication:

Woburn, Massachusetts : Butterworth-Heinemann, 1999.

Language Note:

English

Summary:

Introduction to Continuum Mechanics is a recently updated and revised text which is perfect for either introductory courses in an undergraduate engineering curriculum or for a beginning graduate course.Continuum Mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation, and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, a

Contents:

Front Cover; Introduction to Continuum Mechanics; Copyright Page; Table of Contents; Preface to the Third Edition; Preface to the First Edition; The Authors; Chapter 1. Introduction; 1.1 Continuum Theory; 1.2 Contents of Continuum Mechanics; Chapter 2. Tensors; PART A The Indicial Notation; PART B Tensors; Part C Tensor Calculus; Part D Curvilinear Coordinates; Problems; Chapter 3. Kinematics of a Continuum; 3.1 Description of Motions of a Continuum; 3.2 Material Description and Spatial Description; 3.3 Material Derivative; 3.4 Acceleration of a Particle in a Continuum; 3.5 Displacement Field

3.6 Kinematic Equations For Rigid Body Motion3.7 Infinitesimal Deformations; 3.8 Geometrical Meaning of the Components of the Infinitesimal Strain Tensor; 3.9 Principal Strain; 3.10 Dilatation; 3.11 The Infinitesimal Rotation Tensor; 3.12 Time Rate of Change of a Material Element; 3.13 The Rate of Deformation Tensor; 3.14 The Spin Tensor and the Angular Velocity Vector; 3.15 Equation of Conservation of Mass; 3.16 Compatibility Conditions for Infinitesimal Strain Components; 3.17 Compatibility Conditions for the Rate of Deformation Components; 3.18 Deformation Gradient

3.19 Local Rigid Body Displacements3.20 Finite Deformation; 3.21 Polar Decomposition Theorem; 3.22 Calculation of the Stretch Tensor from the Deformation Gradient; 3.23 Right Cauchy-Green Deformation Tensor; 3.24 Lagrangian Strain Tensor; 3.25 Left Cauchy-Green Deformation Tensor; 3.26 Eulerian Strain Tensor; 3.27 Compatibility Conditions for Components of Finite Deformation Tensor; 3.28 Change of Area due to Deformation; 3.29 Change of Volume due to Deformation; 3.30 Components of Deformation Tensors in other Coordinates; 3.31 Current Configuration as the Reference Configuration; Problems

Chapter 4. Stress4.1 Stress Vector; 4.2 Stress Tensor; 4.3 Components of Stress Tensor; 4.4 Symmetry of Stress Tensor - Principle of Moment of Momentum; 4.5 Principal Stresses; 4.6 Maximum Shearing Stress; 4.7 Equations of Motion - Principle of Linear Momentum; 4.8 Equations of Motion in Cylindrical and Spherical Coordinates; 4.9 Boundary Condition for the Stress Tensor; 4.10 Piola Kirchhoff Stress Tensors; 4.11 Equations of Motion Written With Respect to the Reference Configuration; 4.12 Stress Power; 4.13 Rate of Heat Flow Into an Element by Conduction; 4.14 Energy Equation

4.15 Entropy InequalityProblems; Chapter 5. The Elastic Solid; 5.1 Mechanical Properties; 5.2 Linear Elastic Solid; Part A Linear Isotropie Elastic Solid; Part B Linear Anisotropie Elastic Solid; Part C Constitutive Equation For Isotropic Elastic Solid Under Large Deformation; Problems; Chapter 6. Newtonian Viscous Fluid; 6.1 Fluids; 6.2 Compressible and Incompressible Fluids; 6.3 Equations of Hydrostatics; 6.4 Newtonian Fluid; 6.5 Interpretation of λ and μ; 6.6 Incompressible Newtonian Fluid; 6.7 Navier-Stokes Equation for Incompressible Fluids

6.8 Navier-Stokes Equations for In compressible Fluids in Cylindrical and Spherical Coordinates

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed January 20, 2015).

ISBN:

0-08-050913-4