An introduction to the finite element method
著者
書誌事項
An introduction to the finite element method
（McGraw-Hill series in mechanical engineering）（McGraw-Hill international editions）
McGraw-Hill, c1993
2nd ed., International ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
For final year graduate and postgraduate courses in the finite element method, this book introduces the method as applied to linear, non-linear and one- and two-dimensional problems of engineering and applied sciences. It includes a step-by-step systematic approach to the formulation and analysis of differential and integral equations in variational forms. The book adopts a differential equation approach, avoiding the need for knowledge of the variational principles of solid mechanics in the development of the finite element models. The need for the weighted-integral formulation of differential equations is explained clearly, providing the student with logical reasons for the recasting of differential equations into variational form.
目次
- Part 1: Preliminaries
- integral formulations and variational methods. Part 2: Finite element analysis of one-dimensional problems
- finite-element analysis of one-dimensional problems
- bending of beams
- finite element error analysis
- Eigenvalue and time-dependent problems
- numerical integration and computer implementation. Part 3: Finite element analysis of two-dimensional problems
- single variable problems
- interpolation functions
- numerical integration and modelling considerations
- plane elasticity
- flows of viscous incompressible fluids
- bending of elastic plates
- computer implementation
- prelude to advanced topics. Appendix: Fortran listings of subroutines ASSML, BONDRY and SOLVE.
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