Journal article
LimitS - A system for limit state analysis and optimal material layout
A system LimitS for limit state analysis and material optimization has been developed and implemented in a PC environment. The program is formulated in a general finite element format with stress-based elements. The solution method is based on the lower-bound theorem, where an optimal stress distribution or an optimal material layout is determined.
Through linearization of the yield criteria the optimization problem is stated as a linear programming problem. Within the formulation of the discretized model the optimal lower-bound solution is shown to be an upper-bound solution, and thereby both the statics and kinematics of the collapse mode are determined via the dual variables of the LP-problem.
In LimitS the following element types are implemented: two- and three-dimensional beam elements; truss elements; triangular slab elements; and shear and stringer elements for plates with in-plane loading. Examples of all three problem types are given including both limit state analysis and material optimization.
Language: | English |
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Year: | 1997 |
Pages: | 709-718 |
ISSN: | 18792243 and 00457949 |
Types: | Journal article |
DOI: | 10.1016/S0045-7949(96)00160-5 |