Titlebook: Stochastic Mechanics of Discrete Media; David Robert Axelrad Book 1993 Springer-Verlag Berlin Heidelberg 1993 Discrete Media.Mikromechanik

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Random Evolution and Geometric Probabilities,d the application of geometric probabilities. In the preceding sections (1.5, 2.3) most of the models used in the phenomenology of discrete media were based on homogeneous Markov processes in which the transition probabilities were time independent and displayed the semi-group properties. In many ap

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Applications of the Stochastic Analysis,.14) of the theory and the axiomatic definitions of section 2.1 in Chapt. 2. The stochastic mechanics approach recognizes the involved field quantities as random variables or functions of such variables. It has been shown that the theory of Markov processes can be used to construct simple models for

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oach in the analysis of material behaviour. This book discusses the modern use of mathematical analysis to the stochastic mechanics of discrete media. The theoretical study is therefore based on set and measure theory and the application of point processes..978-3-642-51487-6978-3-642-51485-2

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Random Evolution and Geometric Probabilities,ular, if interaction effects between structural elements are to be included. Evidently, this necessitates the use of a wider class of Markov processes usually involving “jump processes”, partially observed jump processes and also “semi-Markov processes”.

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978-3-642-51487-6Springer-Verlag Berlin Heidelberg 1993

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https://doi.org/10.1007/978-3-642-51485-2Discrete Media; Mikromechanik; deformation; dynamics; material; mechanics; micromechanics; model; network; po