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Koiter shell governed by strongly monotone constitutive equations

100%

Kalita P.

International Journal of Applied Mathematics and Computer Science

2004

tom 14

nr 2

127-137

In this paper we use the theory of monotone operators to generalize the linear shell model presented in (Blouza and Le Dret, 1999) to a class of physically nonlinear models. We present a family of nonlinear constitutive equations, for which we prove the existence and uniqueness of the solution of the presented nonlinear model, as well as the convergence of the Galerkin method. We also present the physical discussion of the model.

An analytical and numerical approach to a bilateral contact problem with nonmonotone friction

51%

Barboteu M., Bartosz K., Kalita P.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 2

263-276

We consider a mathematical model which describes the contact between a linearly elastic body and an obstacle, the so-called foundation. The process is static and the contact is bilateral, i.e., there is no loss of contact. The friction is modeled with a nonmotonone law. The purpose of this work is to provide an error estimate for the Galerkin method as well as to present and compare two numerical methods for solving the resulting nonsmooth and nonconvex frictional contact problem. The first approach is based on the nonconvex proximal bundle method, whereas the second one deals with the approximation of a nonconvex problem by a sequence of nonsmooth convex programming problems. Some numerical experiments are realized to compare the two numerical approaches.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

2 Kalita P.

1 Barboteu M.

1 Bartosz K.

1 2013

1 2004

Wyniki wyszukiwania

Koiter shell governed by strongly monotone constitutive equations

An analytical and numerical approach to a bilateral contact problem with nonmonotone friction