Slip-dependent friction in dynamic elasticity

Nonlinear Analysis, Theory, Methods and Applications

Volumn 53, Issue 3-4, 2003, Pages 375-390

  Ionescu, Ioan R ^a   Nguyen, Quoc Lan ^b   Wolf, Sylvie ^a,c  

^a UNIVERSITÉ DE SAVOIE   (France)

^b Natl Polytech Inst Ho Shi Minh   (Viet Nam)

^c UNIV GRENOBLE ALPES   (France)

Author keywords

Dynamic elasticity; Existence; Slip dependent friction; Tresca contact; Uniqueness; Vanishing viscosity; Viscoelasticity

Indexed keywords

FRICTION; PROBLEM SOLVING; SHEARING; VISCOELASTICITY; VISCOSITY;

SLIP-DEPENDENT FRICTION;

ELASTICITY;

EID: 0037406975     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00302-4     Document Type: Article

References (23)

1. Campillo M., Ionescu I.R. Initiation of antiplane shear instability under slip dependent friction. J. Geophy. Res. 122(B9):1997;20363-20371.
2. Corneschi C., Hoarau-Martel T.-H., Sofonea M. A quasistatic contact problem with slip dependent coefficient of friction for elastic materials. J. Appl. Anal. 8(1):2002;63-82.
3. Dascalu C., Ionescu I.R., Campillo M. Fault finiteness and initiation of dynamic shear instability. Earth Planet. Sci. Lett. 177:2000;163-176.
4. Dieterich J.H. A constitutive law for rate of earthquake production and its application to earthquake clustering. J. Geophys. Res. 99(B2):1994;2601-2618.
5. Duvaut G., Lions J.L. Inequalities in Mechanics and Physics. 1976;Springer, Berlin.
6. Favreau P., Campillo M., Ionescu I.R. Initiation of inplane shear instability under slip dependent friction. Bull. Sismol. Soc. Am. 89(5):1999;1280-1295.
7. Favreau P., Ionescu I.R., Campillo M. On the dynamic sliding with rate and state dependent friction laws. Geophys. J. 139:1999;671-678.
8. Ionescu I.R. Viscosity solutions for dynamic problems with slip-rate dependent friction. Quart. Appl. Math. LX. 3:2002;461-476.
9. Ionescu I.R., Campillo M. The influence of the shape of the friction law and fault finiteness on the duration of initiation. J. Geophy. Res. 104(B2):1999;3013-3024.
10. Ionescu I.R., Nguyen Q.-L. Dynamic contact problems with slip dependent friction in viscoelasticity. Int. J. Appl. Math. Comp. Sci. 12(1):2002;71-80.
11. Ionescu I.R., Paumier J.C. Dynamic stick-slip motions with sliding velocity-dependent friction. C. R. Acad. Sci. Paris Ser. I. 316:1993;121-125.
12. Ionescu I.R., Paumier J.C. On the contact problem with slip rate dependent friction in elastodynamics. Eur. J. Mech. A - Solids. 13(4):1994;556-568.
13. Ionescu I.R., Paumier J.C. On the contact problem with slip displacement dependent friction in elastostatics. Int. J. Engng. Sci. 34(4):1996;471-491.
14. Kuttler K.L. Dynamic friction contact problems for general normal and friction laws. Nonlinear Anal. TMA. 28(3):1997;559-575.
15. Kuttler K.L., Schillor M. Set-valued pseudomonotone maps and degenerate evolution inclusions. Commun. Contemporary Math. 1:1999;87-123.
16. Martins J.A.C., Oden J.T. Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface law. Nonlinear Analysis, TMA. 11(3):1987;407-428.
17. Oden J.T., Martins J.A.C. Models and computational methods for dynamic friction phenomena. Comp. Meth. Appl. Mech. Eng. 52:1985;527-634.
18. Ohnaka M., Kuwahara Y., Yamamoto K. Constitutive relations between dynamic physical parameters near a tip of the propagation slip during stick-slip shear failure. Tectonophysics. 144:1987;109-125.
19. Perrin G., Rice J.R., Zheng G. Self-healing slip pulse on a frictional surface. J. Mech. Phys. Solids. 43(9):1995;1461-1495.
20. Rabinowicz E. The nature of the static and kinetic coefficients of friction. J. Appl. Phys. 22(11):1951;1373-1379.
21. Rice J.R., Ruina A.L. Stability of steady frictional slipping. J. Appl. Mech. 50:1983;343-349.
22. Ruina A.L. Slip instabilities and state variable friction laws. J. Geophys. Res. 88(B12):1983;10359-10370.
23. Scholtz C.H. The Mechanics of Earthquakes and Faulting. 1990;Cambridge Press, Cambridge.