On the solution of the displacement boundary-value problem for elastic-inelastic materials
Oldřich John (1974)
Aplikace matematiky
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Oldřich John (1974)
Aplikace matematiky
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Ivan Hlaváček (1979)
Aplikace matematiky
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An equilibrium triangular block-element, proposed by Watwood and Hartz, is subjected to an analysis and its approximability property is proved. If the solution is regular enough, a quasi-optimal error estimate follows for the dual approximation to the mixed boundary value problem of elasticity (based on Castigliano's principle). The convergence is proved even in a general case, when the solution is not regular.
Ivan Hlaváček (1989)
Aplikace matematiky
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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.
Eröz, M., Yildiz, A. (2007)
Journal of Applied Mathematics
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