Optimal control in one-dimensional elastic-plastic models

V. A. Troitskii and L. V. Petukhov, Optimization of Forms for Elastic Bodies [in Russian], Nauka, Moscow (1982).Google Scholar

N. V. Banichuk, S. Yu. Ivanova, and A. V. Sharanyuk, Construction Dynamics: Analysis and Optimization [in Russian], Nauka, Moscow (1989).Google Scholar

G. Duvant and J. L. Lions, Inequalities in Mechanics and Physics, Springer-Verlag, New York (1975).Google Scholar

M. I. Erkhov, Theory of Ideal Plastic Bodies and Construction [in Russian], Nauka, Moscow (1982).Google Scholar

V. N. Mazalov and Yu. V. Nemirovskii, “Dynamics of thin plastic constructions,” in: Problems in the Dynamics of Elastic-Plastic Media [in Russian], Mir, Moscow (1975).Google Scholar

G. V. Ivanov, “Equations of an ideal elastic-plastic deforming shell in problems of contact and coupling to other bodies,” in: Dynamics of Continuous Media: a Collection of Scientific Works [in Russian], Siberian Branch of the Academy of Sciences of the USSR, Hydrodynamics Inst., No. 45 (1980).Google Scholar

A. M. Khludnev, “Existence of solutions to the problems of the dynamics of one-dimensional plastic constructions,” Zh. Prikh. Mekh. Tekh. Fiz., No. 2 (1983).Google Scholar

J. L. Lions, Some Methods for the Solution of Nonlinear Boundary-Value Problems [Russian translation], Mir, Moscow (1972).Google Scholar