A CAUCHY-LIPSCHITZ METHOD FOR EXISTENCE AND EULER METHOD FOR NUMERICAL APPROACH IN QUASISTATIC CONTACT PROBLEMS IN RATE-TYPE VISCOPLASTICITY

Abdelbaki Merouani (Algeria) and Sedik Djabi (Algeria)

Received September 28, 2006

References:

[1] S. Djabi, A Cauchy-Lipschitz method in quasistatique rate-type viscoplasticity, Bulletin Technique et Scientifique de L’university de TIMSOARA, Roumanie 39(53) (1994), 36-44. [2] S. Djabi and M. Sofonea, A fixed point method in quasistatique rate-type viscoplasticity, Appl. Math. Com. Sci. 3(2) (1993), 269-279. [3] M. Rochedi and M. Sofonea, On frictionless contact between two elastic viscoplastic bodies, Q. J. Mech. Appl. Math. 50(3) (1997), 481-496. [4] M. Sofonea, On existence and behavior of the solution in quasistatic processes for rate-type viscoplastic models, Ann. Sci. Univ. Blaisepascal (Clermont II) Série Math., Fasc. 28 (1992), 255-271. [5] M. Sofonea, On a contact problem for elastic viscoplastic bodies, Nonlin. Anal. Theo. Methods Appl. 29(9) (1997), 1037-1050.

Keywords and phrases: viscoplastic, existence and uniqueness, monotone operator.