Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
Mathematics of Operations Research
SIAM Journal on Optimization
Composite structures optimization using sequential convex programming
Advances in Engineering Software - Engineering computational technology
Advances in Engineering Software
Structural and Multidisciplinary Optimization
Material interpolation schemes for unified topology and multi-material optimization
Structural and Multidisciplinary Optimization
Optimization strategies for discrete multi-material stiffness optimization
Structural and Multidisciplinary Optimization
pyOpt: a Python-based object-oriented framework for nonlinear constrained optimization
Structural and Multidisciplinary Optimization
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In this paper we present a novel laminate parametrization technique for layered composite structures that can handle problems in which the ply angles are limited to a discrete set. In the proposed technique, the classical laminate stiffnesses are expressed as a linear combination of the discrete options and design-variable weights. An exact $\ell _{1}$ penalty function is employed to drive the solution toward discrete 0---1 designs. The proposed technique can be used as either an alternative or an enhancement to SIMP-type methods such as discrete material optimization (DMO). Unlike mixed-integer approaches, our laminate parametrization technique is well suited for gradient-based design optimization. The proposed laminate parametrization is demonstrated on the compliance design of laminated plates and the buckling design of a laminated stiffened panel. The results demonstrate that the approach is an effective alternative to DMO methods.