An introduction to linear and nonlinear finite element analysis : a computational approach
著者
書誌事項
An introduction to linear and nonlinear finite element analysis : a computational approach
Birkhäuser, c2004
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- : [gw]
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.
目次
Preface Notation Introduction One-Dimensional Shape Functions One-Dimensional Second-Order Equations One-Dimensional Fourth-Order Equations Two-Dimensional Elements Two-Dimensional Problems More Two-Dimensional Problems Axisymmetric Heat Transfer Transient Problems Single Nonlinear One-Dimensional Equations Plane Elasticity Stokes Equations and Penalty Method Vibration Analysis Computer Codes: Mathematica Codes, Ansys Codes, MatLab Codes, Fortran Codes Appendix A: Integration Formulas Appendix B: Special Cases Appendix C: Temporal Approximations Appendix D: Isoparametric Elements Appendix E: Green's Identities Appendix F: Gaussian Quadrature Appendix G: Gradient-Based Methods Bibliography Index
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