Geodesic
Analysis of a frictionless contact problem for elastic bodies
Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 75-88 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper deals with a nonlinear problem modelling the contact between an elastic body and a rigid foundation. The elastic constitutive law is assumed to be nonlinear and the contact is modelled by the well-known Signorini conditions. Two weak formulations of the model are presented and existence and uniqueness results are established using classical arguments of elliptic variational inequalities. Some equivalence results are presented and a strong convergence result involving a penalized problem is also proved.
DOI : 10.4064/ap-69-1-75-88
Keywords: frictionless contact, elastic body, variational inequality, monotone operator, penalized problem

S. Drabla 1 ; M. Sofonea 1 ; B. Teniou 1

1 
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S. Drabla; M. Sofonea; B. Teniou. Analysis of a frictionless contact problem for elastic bodies. Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 75-88. doi: 10.4064/ap-69-1-75-88

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