A review of the theory of static and quasi-static frictional contact problems in elasticity

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 359, Issue 1789, 2001, Pages 2519-2539

  Andersson, L E ^a   Klarbring, A ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Coulomb friction; Existence; Linear elasticity; Quasi static problem; Unilateral contact; Uniqueness

Indexed keywords

EID: 57249098802     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2001.0908     Document Type: Article

References (48)

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4. Existence results for quasistatic contact problems with Coulomb friction
5. On a class of limit states of frictional joints: Formulation and existence theorem
6. Quasi-static frictional contact of discrete mechanical structures
7. A counterexample to uniqueness in quasistatic elastic contact problems with small friction
8. A remark on Ky Fan's minimax principle
9. Existence of solutions of Signorini problems with friction
10. Formulation and approximation of quasistatic frictional contact
11. On some existence and uniqueness results in contact problems with nonlocal friction
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13. Elasticité avec frottement
14. Existence results for the static contact problem with Coulomb friction
15. A minimax inequality and applications
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18. Boundary value problems of elasticity with unilateral constraints
19. A noncoercive steady-sliding problem with friction
20. Catastrophic features of Coulomb friction model
21. Contact problems with bounded friction. Coercive case
22. Contact problems with bounded friction. Semicoercive case
23. Signorini's problem with friction in linear elasticity
24. Contact problems with friction by linear complementarity
25. Derivation and analysis of rate boundary-value problems with friction
26. Examples of non-uniqueness and non-existence of solutions to quasistatic contact problems with friction
27. Steady sliding and linear complementarity
28. Existence of solutions to discrete semicoercive frictional contact problems
29. The discrete steady sliding problem
30. Frictional contact problems with normal compliance
31. On friction problems with normal compliance
32. A global existence result for the quasistatic frictional contact problem with normal compliance
33. On an example of non-existence of solution to a quasistatic frictional contact problem
34. Dissipative graph solutions for a 2 degree-of-freedom quasistatic frictional contact problem
35. On the solution of the variational inequality to the Signorini problem with small friction
36. The steady sliding problem with nonlocal friction
37. Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws
38. Existence of solutions to rigid body dynamics and the paradoxes of Painlevé