Abstract
This paper deals with the optimum design under given loads, of discrete (truss-like) linearly hardening or non-hardening plastic structures, subject to limitations on displacements and deformations and to linear technological constraints. Basic assumptions are: (i) the "cost" function is linear in the design variables; (ii) no local unstressing occurs under the given proportional loading, so that holonomic plastic laws can be adopted. Both elastic-plastic and rigid-hardening models are considered. A typical mathematical feature of the optimization problem is a (nonlinear, nonconvex) complementarity constraint. For situations where the local resistances, assumed to be design variables, do not affect the local stiffness, a branch-and-bound method is proposed and an alternative quadratic programming approach is envisaged. For situations where local strength and stiffness are coupled, a method is developed consisting basically of iterative applications of the procedure devised for uncoupled cases. The computational efficiency of the solution methods proposed is examined by means of numerical tests.
| Original language | English |
|---|---|
| Pages (from-to) | 369-391 |
| Number of pages | 23 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1981 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Computer Science Applications
- Computational Mechanics
Cite this
Optimum design of plastic structures under displacement constraints. / Kaneko, I.; Maier, G.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 27, No. 3, 1981, p. 369-391.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optimum design of plastic structures under displacement constraints
AU - Kaneko, I.
AU - Maier, G.
PY - 1981
Y1 - 1981
N2 - This paper deals with the optimum design under given loads, of discrete (truss-like) linearly hardening or non-hardening plastic structures, subject to limitations on displacements and deformations and to linear technological constraints. Basic assumptions are: (i) the "cost" function is linear in the design variables; (ii) no local unstressing occurs under the given proportional loading, so that holonomic plastic laws can be adopted. Both elastic-plastic and rigid-hardening models are considered. A typical mathematical feature of the optimization problem is a (nonlinear, nonconvex) complementarity constraint. For situations where the local resistances, assumed to be design variables, do not affect the local stiffness, a branch-and-bound method is proposed and an alternative quadratic programming approach is envisaged. For situations where local strength and stiffness are coupled, a method is developed consisting basically of iterative applications of the procedure devised for uncoupled cases. The computational efficiency of the solution methods proposed is examined by means of numerical tests.
AB - This paper deals with the optimum design under given loads, of discrete (truss-like) linearly hardening or non-hardening plastic structures, subject to limitations on displacements and deformations and to linear technological constraints. Basic assumptions are: (i) the "cost" function is linear in the design variables; (ii) no local unstressing occurs under the given proportional loading, so that holonomic plastic laws can be adopted. Both elastic-plastic and rigid-hardening models are considered. A typical mathematical feature of the optimization problem is a (nonlinear, nonconvex) complementarity constraint. For situations where the local resistances, assumed to be design variables, do not affect the local stiffness, a branch-and-bound method is proposed and an alternative quadratic programming approach is envisaged. For situations where local strength and stiffness are coupled, a method is developed consisting basically of iterative applications of the procedure devised for uncoupled cases. The computational efficiency of the solution methods proposed is examined by means of numerical tests.
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U2 - 10.1016/0045-7825(81)90139-0
DO - 10.1016/0045-7825(81)90139-0
M3 - Article
AN - SCOPUS:0019585453
VL - 27
SP - 369
EP - 391
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
IS - 3
ER -