TY - JOUR
T1 - Hencky-Prandtl nets and constrained Michell trusses
AU - Strang, Gilbert
AU - Kohn, Robert V.
N1 - Funding Information:
“This paper was prepared for the Conference on Optima1 Structural Design in Tucson in October, 1981. The work of the first author was supparted by the National Science Foundation (MCS8it-Q237I) and the Army Research 08%~~ ~~~~2~-~-~~~33~~ The second author was an NSF Postdoctoral Fellow at the Courant fnStiEute Mathematical Sciences.
PY - 1983/2
Y1 - 1983/2
N2 - We study minimum weight trusses (or truss-like continua) subject to technological constraints which limit the member forces. In the optimal design the principal strains are constant over part of the domain, and the principal stresses over another part-leading to a combination of a Michell truss and a slip line net. We begin with a variational treatment of the unconstrained Michell problem, indicating one possible numerical approach and also suggesting spaces of stress and displacement fields which will allow a proof of the existence of optimal trusses for very general boundary conditions.
AB - We study minimum weight trusses (or truss-like continua) subject to technological constraints which limit the member forces. In the optimal design the principal strains are constant over part of the domain, and the principal stresses over another part-leading to a combination of a Michell truss and a slip line net. We begin with a variational treatment of the unconstrained Michell problem, indicating one possible numerical approach and also suggesting spaces of stress and displacement fields which will allow a proof of the existence of optimal trusses for very general boundary conditions.
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U2 - 10.1016/0045-7825(83)90113-5
DO - 10.1016/0045-7825(83)90113-5
M3 - Article
AN - SCOPUS:0020708160
VL - 36
SP - 207
EP - 222
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
IS - 2
ER -