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Dynamic three-dimensional equations of the Rakhmatulin elastic-plastic model

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Literature cited

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    Kh. A. Rakhmatulin, “On unloading wave propagation,” Prikl. Mat.Mekh.,9, No. 1, 91–100 (1945).

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    Kh. A. Rakhmatulin and Yu. A. Dem'yanov, Strength under Intensive Short-Range Loads [in Russian], Fizmatgiz, Moscow (1961).

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    S. K. Godunov, Elements of the Mechanics of a Continuous Medium [in Russian], Nauka, Moscow (1978).

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    S. K. Godunov and E. I. Romenskii, “Nonstationary equations of the nonlinear theory of elasticity in Euler coordinates,” Zh. Prikl. Mekh. Tekh. Fiz., No. 6, 124–144 (1972).

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    E. I. Romenskii, “Cones of characteristics of the nonlinear elasticity theory equations,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 126–132 (1974).

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    S. K. Godunov, N. S. Kozin, and E. I. Romenskii, “Equation of state of the elastic energy of metals for a nonglobal strain tensor,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 123–128 (1974).

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    R. G. Payton, “Two-dimensional wavefront shape induced in a homogeneously strained elastic body by a point perturbing body force,” Arch. Rat. Mech. Anal.,32, No. 4, 311–330 (1969).

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    L. M. Kachanov, Principles of Plasticity Theory [in Russian], Nauka, Moscow (1969).

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 138–158, March–April, 1979.

The author is grateful to S. K. Godunov for interest in the research.

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Romenskii, E.I. Dynamic three-dimensional equations of the Rakhmatulin elastic-plastic model. J Appl Mech Tech Phys 20, 229–244 (1979). https://doi.org/10.1007/BF00910025

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Keywords

  • Mathematical Modeling
  • Mechanical Engineer
  • Industrial Mathematic