A fixed point method in dynamic processes for a class of elastic-viscoplastic materials

• Autorzy: A. Amassad
• Języki publikacji: EN

Abstrakty

EN

Two problems are considered describing dynamic processes for a class of rate-type elastic-viscoplastic materials with or without internal state variable. The existence and uniqueness of the solution is proved using classical results of linear elasticity theory together with a fixed point method.

Słowa kluczowe

EN

viscoplasticity; dynamic processes; Galerkin method; fixed point; internal state variable

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 68
• Numer: 3
• Strony: 237-247

Daty

wydano

1998

otrzymano

1997-03-24

Twórcy

autor

A. Amassad

• Department of Mathematics, University of Perpignan, 52, Avenue de Villeneuve, 66860 Perpignan Cedex, France

Bibliografia

• [1] N. Cristescu and I. Suliciu, Viscoplasticity, Martius Nijhoff and Editura Tehnica, Bucarest, 1982.
• [2] S. Djabi and M. Sofonea, A fixed point method in quasistatic rate-type viscoplasticty, Appl. Math. Comput. Sci., 1993.
• [3] G. Duvaut et J. L. Lions, Les Inéquations en Mécanique et en Physique, Dunod, Paris, 1972.
• [4] I. R. Ionescu, Dynamic processes for a class of elastic-viscoplastic materials, Stud. CBRC Mat., Bucureşti, 1992.
• [5] I. R. Ionescu and M. Sofonea, Functional and Numerical Methods in Viscoplasticity, Oxford Univ. Press, Oxford, 1993.