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Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
1986
Online ISBN:
9780511569630

Book description

This is a textbook written for mechanical engineering students at first-year graduate level. As such, it emphasizes the development of finite element methods used in applied mechanics. The book starts with fundamental formulations of heat conduction and linear elasticity and derives the weak form (i.e. the principle of virtual work in elasticity) from a boundary value problem that represents the mechanical behaviour of solids and fluids. Finite element approximations are then derived from this weak form. The book contains many useful exercises and the author appropriately provides the student with computer programs in both BASIC and FORTRAN for solving them. Furthermore, a workbook is available with additional computer listings, and also an accompanying disc that contains the BASIC programs for use on IBM-PC microcomputers and their compatibles. Thus the usefulness and versatility of this text is enhanced by the student's ability to practise problem solving on accessible microcomputers.

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Contents

  • Frontmatter
    pp i-vi
  • Contents
    pp vii-x
  • Preface
    pp xi-xiv
  • 1 - Review of background materials
    pp 1-24
  • 2 - Finite element analysis of heat conduction problems
    pp 25-105
  • 3 - Generalization of the finite element method for heat conduction problems
    pp 106-122
  • 4 - Simple elastic structures and their free vibration problems
    pp 123-180
  • 5 - Finite element approximations for problems in linear elasticity
    pp 181-303
  • 6 - Plate-bending problems
    pp 304-327
  • Appendixes
  • 1 - FEM 1
    pp 328-344
  • 2 - PRE-FEM1: PREPROCESSING TO FEM1
    pp 345-359
  • 3 - POST-FEM1: POSTPROCESSING TO FEM1
    pp 360-371
  • 4 - FEM 2
    pp 372-398
  • 5 - Finite element programs
    pp 399-401
  • Bibliography
    pp 402-406
  • List of notation
    pp 407-415
  • Index
    pp 416-418

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