Finite Element Analysis (2003)
Finite Element Analysis: Thermomechanics of Solids
By David W. Nicholson
* Publisher: CRC
* Number Of Pages: 296
* Publication Date: 2003-03-26
* Sales Rank: 1842469
* ISBN / ASIN: 084930749X
* EAN: 9780849307492
* Binding: Hardcover
* Manufacturer: CRC
* Studio: CRC
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Book Description:
Many applications of finite element analysis (FEA) involve nonlinear problems. While engineers dealing with such applications may have access to powerful finite element codes and computers, they often lack the full understanding of the finite element method that nonlinear problems require. This text gives a comprehensive, unified presentation of FEA applied to coupled mechanical and thermal, static and dynamic, and linear and nonlinear responses of solids and structures. The inclusion of a concise review of the relevant mathematics and first-course material, sample problems, and exercises, makes this an ideal text for a second course in finite element methods.
Book Info
Text presents the principles of the finite-element method for application to the mechanical, thermal, and thermomechanical response- both static and dynamic- of linear and nonlinear solids. Designed for a second-level course or as a reference work. Basic familiarity with the finite-element method is assumed. Includes index and chapter exercises. DLC: Thermal stresses--Mathematical models.
Table of Contents
Ch. 1 Mathematical Foundations: Vectors and Matrices 1
Ch. 2 Mathematical Foundations: Tensors 25
Ch. 3 Introduction to Variational and Numerical Methods 43
Ch. 4 Kinematics of Deformation 51
Ch. 5 Mechanical Equilibrium and the Principle of Virtual Work 73
Ch. 6 Stress-Strain Relation and the Tangent-Modulus Tensor 95
Ch. 7 Thermal and Thermomechanical Response 107
Ch. 8 Introduction to the Finite-Element Method 117
Ch. 9 Element Fields in Linear Problems 121
Ch. 10 Element and Global Stiffness and Mass Matrices 139
Ch. 11 Solution Methods for Linear Problems 153
Ch. 12 Rotating and Unrestrained Elastic Bodies 167
Ch. 13 Thermal, Thermoelastic, and Incompressible Media 173
Ch. 14 Torsion and Buckling 181
Ch. 15 Introduction to Contact Problems 195
Ch. 16 Introduction to Nonlinear FEA 201
Ch. 17 Incremental Principle of Virtual Work 215
Ch. 18 Tangent-Modulus Tensors for Thermomechanical Response of Elastomers 227
Ch. 19 Inelastic and Thermoinelastic Materials 243
Ch. 20 Advanced Numerical Methods 257
Monographs and Texts 265
Articles and Other Sources 267
Index 269
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