Civil Engineering Association

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
* Average Rating:
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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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1st Edition

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Finite Element Analysis: Thermomechanics of Solids, Second Edition (2008)

Explore a Unified Treatment of the Finite Element Method

The finite element method has matured to the point that it can accurately and reliably be used, by a careful analyst, for an amazingly wide range of applications. With expanded coverage and an increase in fully solved examples, the second edition of Finite Element Analysis: Thermomechanics of Solids presents a unified treatment of the finite element method in theremomechanics, from the basics to advanced concepts.

An Integrated Presentation of Critical Technology

As in the first edition, the author presents and explicates topics in a way that demonstrates the highly unified structure of the finite element method. The presentation integrates continuum mechanics and relevant mathematics with persistent reliance on variational and incremental-variational foundations. The author exploits matrix-vector formalisms and Kronecker product algebra to provide transparent and consistent notation throughout the text.

Nearly twice as long as the first edition, this second edition features:

§ Greater integration and balance between introductory and advanced material

§ Increased number of fully solved examples

§ Selected developments in numerical methods, detailing accelerating computations in eigenstructure extraction, time integration, and stiffness matrix triangularization

§ More extensive coverage of the arc length method for nonlinear problems

§ Expanded and enhanced treatment of rotating bodies and buckling

Provides Sophisticated Understanding of Capabilities and Limitations

This new edition of a popular text includes significant illustrative examples and applications, modeling strategies, and explores a range of computational issues. Written by a professor with years of practical engineering and instructional experience, the book provides a strong foundation for those requiring a sophisticated understanding of the method’s capabilities and limitations.

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