✍ Scribed by Jüri Majak; Meelis Pohlak
No coin nor oath required. For personal study only.
The strain energy density is considered as a measure of the stiffness/flexibility of the composite structure. A methodology for determining the stationary points of the strain energy density in anisotropic solids is developed. The methodology proposed is based on new problem formulation, derivation and analysis of optimality conditions, and decomposition method. The optimal material orientation problem is formulated in terms of strains. The optimality conditions derived cover different material symmetries, linear and also some non-linear material models. The complexity analysis of the optimality conditions has been performed. The proposed approach allows to divide the solution of the optimal material orientation problem into less complicated subtasks.
📜 SIMILAR VOLUMES
For solving large-scale constrained separable variational inequality problems, the decomposition methods are attractive, since they solve the original problems via solving a series of small-scale problems, which may be much easier to solve than the original problems. In this paper, we propose some n