Contact between elastic perfectly plastic bodies

Haslinger, Jaroslav, and Hlaváček, Ivan. "Contact between elastic perfectly plastic bodies." Aplikace matematiky 27.1 (1982): 27-45. <http://eudml.org/doc/15222>.

@article{Haslinger1982,
abstract = {If the material of the bodies is elastic perfectly plastic, obeying the Hencky's law, the formulation in terms of stresses is more suitable than that in displacements. The Haar-Kármán principle is first extended to the case of a unilateral contact between two bodies without friction. Approximations are proposed by means of piecewise constant triangular finite elements. Convergence of the method is proved for any regular family of triangulations.},
author = {Haslinger, Jaroslav, Hlaváček, Ivan},
journal = {Aplikace matematiky},
keywords = {elastic perfectly plastic; Hencky’s law; extension of Haar-Kármán principle; case of unilateral contact on boundary; piecewise constant triangular elements; convergence; any regular family of triangulations; simplification; approximate problem with bounded contact zone; nonlinear; elastic perfectly plastic; Hencky's law; extension of Haar-Kármán principle; case of unilateral contact on boundary; piecewise constant triangular elements; convergence; any regular family of triangulations; simplification; approximate problem with bounded contact zone; nonlinear programming},
language = {eng},
number = {1},
pages = {27-45},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Contact between elastic perfectly plastic bodies},
url = {http://eudml.org/doc/15222},
volume = {27},
year = {1982},
}

TY - JOUR
AU - Haslinger, Jaroslav
AU - Hlaváček, Ivan
TI - Contact between elastic perfectly plastic bodies
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 1
SP - 27
EP - 45
AB - If the material of the bodies is elastic perfectly plastic, obeying the Hencky's law, the formulation in terms of stresses is more suitable than that in displacements. The Haar-Kármán principle is first extended to the case of a unilateral contact between two bodies without friction. Approximations are proposed by means of piecewise constant triangular finite elements. Convergence of the method is proved for any regular family of triangulations.
LA - eng
KW - elastic perfectly plastic; Hencky’s law; extension of Haar-Kármán principle; case of unilateral contact on boundary; piecewise constant triangular elements; convergence; any regular family of triangulations; simplification; approximate problem with bounded contact zone; nonlinear; elastic perfectly plastic; Hencky's law; extension of Haar-Kármán principle; case of unilateral contact on boundary; piecewise constant triangular elements; convergence; any regular family of triangulations; simplification; approximate problem with bounded contact zone; nonlinear programming
UR - http://eudml.org/doc/15222
ER -