TY - JOUR
T1 - Complete solutions for a class of elastic-plastic structures
AU - Kaneko, Ikuyo
N1 - Funding Information:
*This research is supported
PY - 1980/2
Y1 - 1980/2
N2 - A mathematical programming method is proposed for determining the complete history of (generalized) stresses and strains during a loading process for a class of elastic-plastic structures. This method is based on a pivoting procedure similar to the simplex method for a linear program and is suited for computer implementation. The method is illustrated by a simple truss problem. Based on the method, some results on existence and uniqueness of the solution of the structural problem are established.
AB - A mathematical programming method is proposed for determining the complete history of (generalized) stresses and strains during a loading process for a class of elastic-plastic structures. This method is based on a pivoting procedure similar to the simplex method for a linear program and is suited for computer implementation. The method is illustrated by a simple truss problem. Based on the method, some results on existence and uniqueness of the solution of the structural problem are established.
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U2 - 10.1016/0045-7825(80)90030-4
DO - 10.1016/0045-7825(80)90030-4
M3 - Article
AN - SCOPUS:0018984236
SN - 0045-7825
VL - 21
SP - 193
EP - 209
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 2
ER -