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A direct automated procedure for frictionless contact problems
Author(s) -
Mahmoud Faten Faheem,
Salamon Nicholas J.,
Marks Walter R.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180207
Subject(s) - computation , finite element method , simple (philosophy) , computer program , numerical analysis , elasticity (physics) , computer science , linear elasticity , mathematical optimization , exploit , algorithm , mathematics , mathematical analysis , structural engineering , engineering , philosophy , materials science , epistemology , composite material , operating system , computer security
The solution of elastostatic bodies in frictionless contact is obtained by an automated direct method which exploits the theory of linear elasticity and circumvents the need for the inclusion of artificial interface elements, mathematical programming techniques or computation of contact pressure. The method is simple and economical to use and can be easily appended to existing numerical schemes such as the finite element method. The formulation and numerical algorithm are presented for body combinations which are independent of relative tangential displacements along the contact surface. The method is illustrated through an elementary example amenable to hand calculation. Numerical results for more realistic problems are given and compared to known solutions. It is concluded that the method provides a powerful means for both the analysis and design of contacting bodies when used in conjunction with a finite element computer program.