Zoltán Sadovský (1978)
Aplikace matematiky
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The author introduces a global measure of initial deflection given by the energy norm. Solving the formulated minimization problem with a subsidiary condition the most dangerous initial deflection shape is obtained. The theoretical results include a wide range of stability type structural problems.
Alexander Hanuška (1967)
Aplikace matematiky
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The differential equations and the boundary conditions corresponding to various variants of approximation of the displacements are derived. Using the example of a square plate the results of the colution according to these variants are compared with some known refined theoris.
Jaroslav Haslinger, Ivan Hlaváček (1981)
Aplikace matematiky
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The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an -error estimate is proven provided the exact solution is regular enough.
Paolo Biscari, Gianfranco Capriz (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Two parameters seem to be of the essence for the description of the distribution of molecular directions in a nematic: the degrees of prolation and of triaxiality. Fundamental mechanical and optic properties can be expressed in terms of the two parameters.