caa a22 4500 475776429 CHVBK 20180406123632.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/BF02468741 doi (NATIONALLICENCE)springer-10.1007/BF02468741 Determination of the ultimate states of elastoplastic bodies [Elektronische Daten] [B. Annin, V. Alekhin, S. Korobeinikov] The equations of quasistatic deformation of elastoplastic bodies are considered in a geometrical linear formulation. After discretization of the equations with respect to spatial variables by the finite-element method, the problem of determining equilibrium onfigurations reduces to integration of a system of nonlinear ordinary differential equations. In the ultimate state of a body of an ideal elastoplastic material, the matrix of the system degenerates and the problem becomes singular. A regularization algorithm for determining solutions of the problems for the ultimate states of bodies is proposed. Numerical solutions of test problems of determining the ultimate loads and equilibrium configurations for ideal elastoplastic bodies confirm the reliability of the regularization algorithm proposed. Kluwer Academic/Plenum Publishers, 2000 Annin B. aut Alekhin V. aut Korobeinikov S. aut Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/5(2000-09-01), 937-944 0021-8944 41:5<937 2000 41 10808 https://doi.org/10.1007/BF02468741 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02468741 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Annin B. aut NATIONALLICENCE 700 1- Alekhin V. aut NATIONALLICENCE 700 1- Korobeinikov S. aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/5(2000-09-01), 937-944 0021-8944 41:5<937 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer