Damage evolution and localization in heterogeneous materials under dynamical loading: stochastic modelling |
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Authors: | L L Mishnaevsky Jr S Schmauder |
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Affiliation: | (1) Staatliche Materialprüfungsanstalt (MPA) University of Stuttgart Pfaffenwaldring 32, D-70569 Stuttgart (Vaihingen), Germany, DE |
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Abstract: | A mathematical model of damage evolution in heterogeneous materials, which takes into account the random nature of local
failure, is developed on the basis of the theory of stochastic equations. A damage evolution law, which allows for the energy
dissipation due to the new surface formation as well as the influence of local (thermic) fluctuations is obtained. The kinetic
differential equation for time-dependent probability distribution of a damage parameter is derived theoretically. Damage evolution
and damage localization under dynamical loading are investigated numerically on the basis of the model developed. |
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Keywords: | |
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