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

Format:

Book

Author/Creator:

Lai, W. Michael, 1930-

Contributor:

Rubin, David, 1942-

Krempl, Erhard.

Language:

English

Subjects (All):

Continuum mechanics.

Mathematics.

Physical Description:

1 online resource (549 p.)

Edition:

4th ed.

Place of Publication:

Amsterdam ; Boston : Butterworth-Heinemann, 2009.

Language Note:

English

Summary:

As a primary branch of physical mechanics, continuum mechanics deals with forces and behaviours that are continuous throughout a material or system, be it solid or fluid. It includes such behaviors as stress, strain, kinematics, elasticity, and plasticity. Without a thorough understanding of continuum mechancs, virtually all advanced mechanical engineering would be impossible. This classic text by noted educators, W. Michael Lai, David Rubin and Erhard Krempl, has been used for over 30 years to introduce continuum mechanics from the upper undergraduate to graduate level. It begins with a th

Contents:

Front Cover; Introduction to Continuum Mechanics; Copyright Page; Table of Contents; Preface to the Fourth Edition; Chapter 1: Introduction; 1.1 Introduction; 1.2 What is Continuum Mechanics?; Chapter 2: Tensors; 2.1 Summation Convention, Dummy Indices; 2.2 Free Indices; 2.3 The Kronecker Delta; 2.4 The Permutation Symbol; 2.5 Indicial Notation Manipulations; Problems For Part A; Part B: Tensors; 2.7 Components of a Tensor; 2.8 Components of a Transformed Vector; 2.9 Sum of Tensors; 2.10 Product of Two Tensors; 2.12 Dyadic Product of Vectors; 2.13 Trace of A Tensor

2.14 Identity Tensor and Tensor Inverse2.15 Orthogonal Tensors; 2.16 Transformation Matrix Between Two Rectangular Cartesian Coordinate Systems; 2.17 Transformation Law for Cartesian Components of A Vector; 2.18 Transformation Law for Cartesian Components of a Tensor; 2.19 Defining Tensor by Transformation Laws; 2.20 Symmetric and Antisymmetric Tensors; 2.21 The Dual Vector of an Antisymmetric Tensor; 2.22 Eigenvalues and Eigenvectors of a Tensor; 2.23 Principal Values and Principal Directions of Real Symmetric Tensors; 2.24 Matrix of a Tensor with Respect to Principal Directions

2.25 Principal Scalar Invariants of a TensorProblems for Part B; Part C: Tensor Calculus; 2.26 Tensor-Valued Functions of a Scalar; 2.27 Scalar Field and Gradient of a Scalar Function; 2.28 Vector Field and Gradient of a Vector Function; 2.29 Divergence of a Vector Field and Divergence of a Tensor Field; 2.30 Curl of a Vector Field; 2.31 Laplacian of a Scalar Field; 2.32 Laplacian of a Vector Field; Problems for Part C; Part D: Curvilinear Coordinates; 2.33 Polar Coordinates; 2.34 Cylindrical Coordinates; 2.35 Spherical Coordinates; Problems for Part D; Chapter 3: Kinematics of a Continuum

3.1 Description of Motions of a Continuum3.2 Material Description and Spatial Description; 3.4 Acceleration of a Particle; 3.5 Displacement Field; 3.6 Kinematic Equation for Rigid Body Motion; 3.7 Infinitesimal Deformation; 3.9 Principal Strain; 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 Condition for Rate of Deformation Components; 3.18 Deformation Gradient

3.19 Local Rigid Body Motion3.20 Finite Deformation; 3.21 Polar Decomposition Theorem; 3.22 Calculation of Stretch and Rotation Tensors from the Deformation Gradient; 3.23 Right Cauchy-Green Deformation Tensor; 3.24 Lagrangian Strain Tensor; 3.26 Eulerian Strain Tensor; 3.27 Change of Area Due to Deformation; 3.29 Components of Deformation Tensors in Other Coordinates; 3.30 Current Configuration as the Reference Configuration; Appendix 3.1: Necessary and Sufficient Conditions for Strain Compatibility; Appendix 3.2: Positive Definite Symmetric Tensors

Appendix 3.3: The Positive Definite Root of U2 = D

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-282-28957-8

9786612289576

0-08-094252-0

OCLC:

455328685