Elastic and Elastoplastic Contact Analysis: Using Boundary Elements and Mathematical ProgrammingPresents a general elastic and elastoplastic analysis method for the treatment of two- and three-dimensional contact problems between two deformable bodies undergoing small displacements with and without friction. The author's approach uses the Boundary Element Method (BEM) and Mathematical Programming (MP). |
From inside the book
1 page matching "Friction and Lubrication in Mechanical Design" in this book
Page 119
Contents
Introduction | 1 |
Chapter | 9 |
Penalty complementarity contact boundary conditions | 16 |
Copyright | |
9 other sections not shown
Common terms and phrases
applied boundary element formulation boundary element method Brebbia complementarity condition complementarity problem LCP Computational contact area contact conditions contact law contact variables contacting bodies displacement vector displacements and tractions Distance from center distribution elastic contact problems elastic foundation elastoplastic frictional contact equations Figure flat punch flow rule frictional contact problems Hertz incremental displacement indicial notation interior sample points internal point JJ3 JJ3 JJ3 Lemke's algorithm linear complementarity problem linear elastic mathematical programming matrix form N/mm normal and tangential normal contact tractions numerical obtained penalty formulation plane strain plane stress plastic yield plastic yield function Poisson's ratio potential contact surface potential contact zone present study principal stresses quadratic elements relative displacement shown in fig solve substituting eqn tangential contact tractions tangential load tangential tractions tractions and displacements tractions for ยต vector yield criterion yield surface Young's modulus แแแ