Abstract
The wave problem of propagation of shock perturbation in a semi-infinite elastic rod interacting with the medium is investigated using the model of elastic-plastic resistance with decreasing relation between shear stress and jump of displacement on the lateral surface. An exact solution of the initial-boundary problem is obtained using the Laplace transforms. A wave pattern of perturbation including the prefront zone of rest, the area of motion and the domain of stationary residual stresses has been built. The three-dimensional diagrams for nonstationary fields of displacement, velocity and stresses have been constructed too.
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Shatskyi, I., Perepichka, V. (2018). Problem of Dynamics of an Elastic Rod with Decreasing Function of Elastic-Plastic External Resistance. In: Awrejcewicz, J. (eds) Dynamical Systems in Applications. DSTA 2017. Springer Proceedings in Mathematics & Statistics, vol 249. Springer, Cham. https://doi.org/10.1007/978-3-319-96601-4_30
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DOI: https://doi.org/10.1007/978-3-319-96601-4_30
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