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1 April 2016 A semi-nonlocal numerical approach for modeling of temperature-dependent crack-wave interaction
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Numerical tools, which are used to simulate complex phenomena for models of complicated shapes suffer from either long computational time or accuracy. Hence, new modeling and simulation tools, which could offer reliable results within reasonable time periods, are highly demanded. Among other approaches, the nonlocal methods have appeared to fulfill these requirements quite efficiently and opened new perspectives for accurate simulations based on crude meshes of the model's degrees of freedom. In the paper, the preliminary results are shown for simulations of the phenomenon of temperature-dependent crack-wave interaction for elastic wave propagation in a model of an aluminum plate. Semi-nonlocal finite differences are considered to solve the problem of thermoelasticity - based on the discretization schemes, which were already proposed by the authors and taken from the previously published work. Numerical modeling is used to examine wave propagation primarily in the vicinity of a notch. Both displacement and temperature fields are sought in the investigated case study.
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Adam Martowicz, Piotr Kijanka, and Wieslaw J. Staszewski "A semi-nonlocal numerical approach for modeling of temperature-dependent crack-wave interaction", Proc. SPIE 9805, Health Monitoring of Structural and Biological Systems 2016, 980515 (1 April 2016);

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