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Avraam KonstantinidisAristotle University of ThessalonikiCombined Gradient – Stochastic Models For Composites [k] Trovalusci International Symposium (17th Intl. Symp. on Multiscale & Multiphysics Modelling of 'Complex' Material (MMCM17) ) Back to Plenary Lectures » |
Abstract:The deterministic internal length gradient (ILG) mechanics framework for elasticity and plasticity is extended to account for internal stress fluctuations due to stochastic effects associated with deformation-induced microstructures. Various existing approaches are first briefly reviewed and then an integrated discussion is provided. The role of probability density functions (PDFs) is examined in terms of existing experimental data. Emphasis is placed on Tsallis q-statistics and the related modification of classical PDFs (e.g. q-Gaussian, q-exponential). Then some example problems from the composites’ literature are discussed. |
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