Displaying similar documents to “Korn's inequality uniform with respect to a class of axisymmetric bodies”

Inequalities of Korn's type, uniform with respect to a class of domains

Ivan Hlaváček (1989)

Aplikace matematiky

Similarity:

Inequalities of Korn's type involve a positive constant, which depends on the domain, in general. A question arises, whether the constants possess a positive infimum, if a class of bounded two-dimensional domains with Lipschitz boundary is considered. The proof of a positive answer to this question is shown for several types of boundary conditions and for two classes of domains.

Shape optimization of materially non-linear bodies in contact

Jaroslav Haslinger, Raino Mäkinen (1997)

Applications of Mathematics

Similarity:

Optimal shape design problem for a deformable body in contact with a rigid foundation is studied. The body is made from material obeying a nonlinear Hooke’s law. We study the existence of an optimal shape as well as its approximation with the finite element method. Practical realization with nonlinear programming is discussed. A numerical example is included.