PENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH COULOMB’S FRICTION FOR LOCKING MATERIAL

Subject Areas : International Journal of Mathematical Modelling & Computations

Salah Bourichi ¹ (University Hassan I, FSTS, Department of Mathematics and Informatics Morocco)
El Essoufi ² ()

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2016-03-20

Keywords:

References:

F.Demengel and P.Suquet; On Locking materials Acta Applicandae Mathematicae 6

(1986), 185-21 I. 185 1986 by D. Reidel Publishing Company.

F.Demengel; Displacements bounded deformation and measures stress, published in annals

of superior school of Pise (1972).

F. Demengel; Relaxation and existence for locking materials problems , to be published in

Rairo.

W.Prager; On Ideal Locking Materials, Trans. Soc. Rheology 1 (1957) 169-175.

W.Prager; Unilateral Constraints in Mechanics of Continua , Estratto dagli atti del Simposio

Lagrangiano. Accademia delle Science di Torino, 1964, pp. 1-11.

W.Prager; Elastic Solids of Limited Compressibility, Proc. 9th Int. Congress AppL Mech.,

Vol. 5, Brussels, 1958, pp. 205-211.

P. G. Ciarlet;The finite element method for elliptic problems, North-Holland, Amsterdam,

 

G. Duvaut, J.-L. Lions; Les in´equations en m´ecanique et en physique, Dunod, Paris, 1972.

R. Glowinski; Numerical Methods for Nonlinear Variational Problems. Springer,

NewYork, 1984. Contact problems in elasticity: a study of variational inequalities and

finite element methods, volume 8 of SIAM Studies in Applied Mathematics, Society for

Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1988.

J. Neˇcas and I. Hlav´aˇcek; Mathematical Theory of Elastic and Elastico-Plastic Bodies:

An Introduction, Elsevier Scientific Publishing Company, Amsterdam, Oxford, New York,

 

G. Strang, G. Fix; An Analysis of the Finite Element Method, Prentice-Hall, Englewood

Cliffs, NJ 1973.

R. Temam; Probl`eme math´ematiques en plasticit´e, Gauthier-Villars, Paris (1983).

A.Ern, J.L.Guermound;

Theory and Pratice of finite element, Appl.Math.Sci,vol.159.Springer-Verlag New York,

 

P.Hild Y.Renard An improved a priori error analysis for finite element approximations of

Signorin’s, SIAM J. Numer. Anal. 50(2012)2400-2419

R.Temam, Navier-Stokes Equations, North-Holland, Amsterdam, 1979.

R.Temam, R. and G.Strang; Duality and Relaxation in the Variational Problems of Plasticity,

J. Mecanique. 19 (1980) 493-528.