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The book acquaints the reader with the basic concepts and relations of elasticity and plasticity, and also with the contemporary state of the theory, covering such aspects as the nonlinear models of elasto-plastic bodies and of large deflections of plates, unilateral boundary value problems, variational principles, the finite element method, and so on.

Elastoplasticity --- Elasticity. --- Elastoplasticity. --- Elasticity --- Plasticity --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Éléments finis, Méthode des --- Finite element method --- Analyse numérique. --- Numerical analysis --- Finite element method. --- Numerical analysis. --- Analyse numérique --- Éléments finis, Méthode des. --- Elastoplasticite --- Milieu continu

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Ottokar --- Bohemia (Czech Republic) --- Austria --- Bohemia (Czech Republic) --- Foreign relations --- Foreign relations --- Contresses --- History

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This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data.A general mathematical scheme of the worst scenario method, including approximation by finite element methods, i

Error analysis (Mathematics) --- Mathematical models --- Uncertainty (Information theory) --- Measure of uncertainty (Information theory) --- Shannon's measure of uncertainty --- System uncertainty --- Information measurement --- Probabilities --- Questions and answers --- Models, Mathematical --- Simulation methods --- Errors, Theory of --- Instrumental variables (Statistics) --- Mathematical statistics --- Numerical analysis --- Statistics --- Mathematical models.