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Elastic and Elastoplastic Contact Analysis: Using Boundary Elements and Mathematical Programming [Kõva köide]

  • Formaat: Hardback, 144 pages, kõrgus x laius: 242x165 mm, Illustrations, 1 port.
  • Sari: Topics in Engineering No. 45
  • Ilmumisaeg: 31-Mar-2005
  • Kirjastus: WIT Press
  • ISBN-10: 1853127337
  • ISBN-13: 9781853127335
Teised raamatud teemal:
Elastic and Elastoplastic Contact Analysis: Using Boundary Elements and Mathematical ProgrammingSuurem pilt
  • Formaat: Hardback, 144 pages, kõrgus x laius: 242x165 mm, Illustrations, 1 port.
  • Sari: Topics in Engineering No. 45
  • Ilmumisaeg: 31-Mar-2005
  • Kirjastus: WIT Press
  • ISBN-10: 1853127337
  • ISBN-13: 9781853127335
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781853127335.html
Märksõnad:
For graduate students, researchers, and practitioners involved in contact stress analysis and computational mechanics technology, Faraji (U. of Tehran) presents a general elastic and elastoplastic analysis method for treating contact problems of two or three dimensions between two deformable bodies undergoing small displacements with and without friction. The method applies the boundary element method and mathematical programming to the contacting bodies pressed together by normal force that is sufficient to expand the size of the contact area, mainly through plastic deformation, which is acted on subsequently by a tangential force less than that necessary to cause overall sliding. There is no index. The US office of WIT Press is Computational Mechanics. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
Dedication iv
Preface ix
List of symbols xi
Chapter 1 Introduction 1(8)
1.1 The contact problem
1(2)
1.2 A survey of analytical solutions to the contact problem
3(1)
1.3 A survey of computational and regularizational techniques to the contact problem
4(3)
1.4 A survey of numerical discretization methods applied to the contact problem
7(2)
Chapter 2 Three-dimensional elastic frictional contact analysis, Part 1: Theory 9(22)
2.1 Introduction
9(1)
2.2 Contact boundary conditions between two bodies
9(4)
2.3 Elastoplastic analogy for a model of contact boundary conditions
13(2)
2.4 Penalty complementarity contact boundary conditions
15(5)
2.5 Boundary element formulation for elastic frictional contact problems
20(8)
2.6 Linear complementarity formulation of elastic frictional contact problems
28(3)
Chapter 3 Three-dimensional elastic frictional contact analysis, Part 2: Applications 31(14)
3.1 Introduction
31(2)
3.2 Contact between a rigid cylinder and an elastic foundation
33(1)
3.3 Contact between an elastic cylinder and a rigid foundation
34(1)
3.4 Contact between a cylinder (circular disk) and a rectangular plate (foundation)
35(1)
3.5 Contact between an elastic punch and an elastic foundation (combined normal and tangential loading)
36(2)
3.6 Contact between two elastic cylinders
38(2)
3.7 Contact between an elastic flat punch and an elastic flat foundation in 2D
40(2)
3.8 Contact between an elastic flat punch and an elastic flat foundation in 3D
42(3)
Chapter 4 Three-dimensional elastoplastic frictional contact analysis, Part 1: Theory 45(32)
4.1 Introduction
45(1)
4.2 Incremental description of penalty complementarity contact boundary conditions
45(1)
4.3 Elastoplastic constitutive equations
46(3)
4.4 General form of the plastic yield matrix
49(7)
4.5 Boundary element formulation for elastoplastic frictional contact problems
56(14)
4.6 Unified linear complementarity formulation of elastoplastic frictional contact problems
70(7)
Chapter 5 Three-dimensional elastoplastic frictional contact analysis, Part 2: Applications 77(12)
5.1 Introduction
77(2)
5.2 Contact between an elastoplastic cylinder and a rigid foundation
79(1)
5.3 Contact between two elastoplastic cylinders (combined normal and tangential loading)
80(4)
5.4 Contact between a flat punch and an elastoplastic flat foundation in 2D
84(2)
5.5 Contact between a flat punch and an elastoplastic flat foundation in 3D
86(3)
Chapter 6 Conclusions 89(2)
Appendix A Displacements and stresses inside a body and stresses on the boundary of a body 91(6)
A.1 Displacements and stresses inside a body
91(3)
A.2 Stresses on the boundary of a body
94(3)
Appendix B Summary of Lemke's algorithm 97(2)
Appendix C Convenient forms of principal stresses, yield criteria, and flow rule in elastoplastic analysis 99(6)
C.1 Introduction
99(1)
C.2 A general approach to evaluate the principal stresses
99(2)
C.3 Compact descriptions of some yield criteria
101(1)
C.4 Plastic flow rule
102(3)
Appendix D Summary of three-dimensional elastoplastic analysis using boundary elements and mathematical programming 105(6)
Bibliography 111