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On collision of an unloading wave with advancing elastoplastic boundary in a flat heavy layer

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Abstract

An exact solution is presented of the boundary value problem of the theory of large deformations concerning the collision of unloading the wave that is generated by slipping a loaded heavy layer of an elastoviscoplastic material from an inclined plane, while overcoming the resistance due to dry friction. The interaction is considered of this discontinuity plane with the elastoplastic boundary which keeps moving towards it.

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References

  1. A. A. Burenin, L. V. Kovtanyuk, and D. V. Kulaeva, “About Interaction of One-Dimensional UnloadingWave with an Elastoplastic Boundary under Its Propagation in an ElastoviscoplasticMedium,” Prikl. Mekh. i Tekhn. Fiz. 53 (1), 105–113 (2012).

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  2. A. A. Burenin, G. I. Bykovtsev, and L. V. Kovtanyuk, “A Simple Model of Finite Strain in an Elastoplastic Medium,” Dokl. Akad. Nauk 347 (2), 199–201 (1996) [Phys.-Dokl. 41 (3), 127–129 (1996)].

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  3. L. V. Kovtanyuk and A. V. Shitikov, “About the Theory of Large Elastoplastic Strains which Accounts for Temperature and Reological Effects,” Vestnik Dal’nevost. Otdel. Ross. Akad. Nauk No. 4, 87–93 (2006).

    Google Scholar 

  4. G. I. Bykovtsev and T. D. Semygina, “A Viscoplastic Flow of Circular Plates and Shells of Revolution,” Mekhanika i Mashinostroenie No. 4, 68–76 (1964).

    Google Scholar 

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Correspondence to L. V. Kovtanyuk.

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Original Russian Text © L.V. Kovtanyuk, M.M. Rusanov, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 3, pp. 40–48.

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Kovtanyuk, L.V., Rusanov, M.M. On collision of an unloading wave with advancing elastoplastic boundary in a flat heavy layer. J. Appl. Ind. Math. 9, 519–526 (2015). https://doi.org/10.1134/S1990478915040080

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  • DOI: https://doi.org/10.1134/S1990478915040080

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