Abstract
On the basis of formulation of elastic-plastic flow theory with isotropic and kinematic hardening in terms of variational inequality the integral generalization has been obtained which allows one to study the class of weak solutions. In the problem of shift waves propagation the comparison of discontinuous solutions for different hardenings has been carried out.
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References
Mandel J. Plactic waves in infinity 3D medium. Mekhanika: Sb. perevodov, 1963, N 5, pp. 119–141.
Bykovtsev G.I., Kretova L.D. On shock wave propagation in elastoplastic media. Prikl. Matemetika i mekhanika, 1972, v. 36, vyp. 2, pp. 106–116.
Kukudzhanov V.N. On investigation of equations in dinamics of elastoplastis bodies under finite deformations. In: Nonlenear waves of deformation. Tallinn, 1978, pp. 102–105.
Sedov L.I. Continuum mechanics. Part I, Moscow, Nauka, 1976, 536 p.
Sadovskii V.M. Variational and quasivariational inequalities in elastoplastic dynamics problems. Krasnoyarsk, 1990, 44 p., Dep. VINITI 3.4.90, N 1780 - V90.
Wilkins M.L. Calculation of elastoplastic flows. In: Calculation methods in hydrodynamics. Moscow, Mir, 1967, pp. 212–263.
Sadovskii V.M. On dynamic correctness of theory of elastic ideally plastis flow. In: Dinamika Sploshnoi Sredy, Novosibirsk, 1983, vyp. 63, pp. 147–151.
Drugan W.J., Shen Yinong. Restrictions on dynamically propagating surfaces of strong discontinuity in elastic-plastic solids. - J. Mech. and Phys. Solids, 1987. V. 35, N 6. pp.771–787.
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© 1992 Springer Basel AG
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Sadovskii, V.M. (1992). To the Problem of Constructing Weak Solutions in Dynamic Elastoplasticity. In: Antontsev, S.N., Khludnev, A.M., Hoffmann, KH. (eds) Free Boundary Problems in Continuum Mechanics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8627-7_32
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DOI: https://doi.org/10.1007/978-3-0348-8627-7_32
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-8627-7
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