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Numerical simulation of processes in solid deformable media in the presence of dynamic contacts using the grid-characteristic method

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Abstract

Several problems of dynamic deformation in the presence of movable contacting surfaces are considered. A grid-characteristic method is adapted using two-dimensional irregular triangular grids and a hybrid scheme of the first or second order of approximation. An algorithm for the calculation of sliding and static friction is proposed. We obtained the numerical solution for problems of wheel rolling, generation of shear waves, piston acceleration in a pipe, and ricochet.

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Correspondence to K. A. Beklemysheva.

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Original Russian Text © K.A. Beklemysheva, I.B. Petrov, A.V. Favorskaya, 2013, published in Matematicheskoe Modelirovanie, 2013, Vol. 25, No. 11, pp. 3–16.

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Beklemysheva, K.A., Petrov, I.B. & Favorskaya, A.V. Numerical simulation of processes in solid deformable media in the presence of dynamic contacts using the grid-characteristic method. Math Models Comput Simul 6, 294–304 (2014). https://doi.org/10.1134/S207004821403003X

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  • DOI: https://doi.org/10.1134/S207004821403003X

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