On solvability of boundary value problems in elastoplasticity

• Autorzy: Chludnev A. , Sokołowski J.
• Języki publikacji: EN

Abstrakty

EN

In the paper the existence of a solution to the thress-dimensional elastoplastic problem with the Prandtl-Reuss constitutive law and the Neumann boundary conditions is established. The proof is based on a suitable combination of the parabolic regularization of equations and the penalty method for the elastoplastic yield condition. The method is applied in the case of the domain with smooth boundary as well as in the case of an interior crack. It is shown that the weak solutions to the elastoplastic problem satisfying the variational inequality meet all boundary conditions.

Słowa kluczowe

EN

boundary problem; cracks; elastoplasticity; penalty; regularization

PL

elastoplastyczność; pękanie; zagadnienie brzegowe

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1998
• Tom: Vol. 27, no 2
• Strony: 311--330
• Opis fizyczny: Bibliogr. 24 poz.,

Twórcy

autor

Chludnev A.

autor

Sokołowski J.

• Institut Elie Cartan, Laboratoire de Mathematiques, Universite Henri Poincare, Nancy I, B.P. 239. 54506 Vandoeuvre les Nancy Codex, France and Systems Research Institute of the Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland