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Interaction of Temperature and Deformation in Collision of Rigid Body and Viscoplastic Rod of Finite Length

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We consider the coupled problem of collision of a rigid body and a rod of finite length that move towards each other at constant velocities. Using a modified Karman–Polhausen method, we reduce the coupled problem under consideration to the Cauchy problem for a system of four nonlinear ordinary first order differential equations which is solved by the Runge–Kutta method. Numerical experiments are described.

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Authors and Affiliations

  1. Mirzo Ulugbek National University of Uzbekistan, 4, University St., 100174, Tashkent, Uzbekistan

    Abduvali Begmatov & Nigora Mamatova

Authors
  1. Abduvali Begmatov
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  2. Nigora Mamatova
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Correspondence to Nigora Mamatova.

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International Mathematical Schools. Vol. 6. Mathematical Schools in Uzbekistan

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Begmatov, A., Mamatova, N. Interaction of Temperature and Deformation in Collision of Rigid Body and Viscoplastic Rod of Finite Length. J Math Sci 277, 376–384 (2023). https://doi.org/10.1007/s10958-023-06842-y

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  • DOI: https://doi.org/10.1007/s10958-023-06842-y

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