A sequential convex optimization method for multimaterial compliance design problems

A sequential convex optimization method for multimaterial compliance design problems. Kennedy, G. J. & Chin, T. W. Computers & Structures, 212:110 –124, 2019.
doi abstract bibtex

This paper presents a sequential convex optimization method for minimum compliance design of multimaterial problems. The proposed method uses a multimaterial parametrization based on SIMP or RAMP penalization. At each iteration of the algorithm, a convex subproblem is constructed by forming a nonlinear, convex approximation of the penalized compliance based on a linearization of the stiffness matrix. Subsequent solutions of the convex subproblems form a non-increasing sequence of compliance values. The subproblems are solved using a tailored inexact Newton–Krylov interior point method that leverages relatively inexpensive Hessian-vector products. The algorithm is demonstrated on a series of isotropic and orthotropic multimaterial plane stress design problems.

@Article{Kennedy:2018:SCO,
    author      = {Graeme J. Kennedy and Ting Wei Chin},
    title       = {A sequential convex optimization method for multimaterial compliance design problems},
    doi         = {10.1016/j.compstruc.2018.10.007},
    issn        = {0045-7949},
    journal     = {Computers \& Structures},
    pages       = {110 --124},
    volume      = {212},
    year        = {2019},
    abstract    = {This paper presents a sequential convex optimization method for minimum compliance design of multimaterial problems. The proposed method uses a multimaterial parametrization based on SIMP or RAMP penalization. At each iteration of the algorithm, a convex subproblem is constructed by forming a nonlinear, convex approximation of the penalized compliance based on a linearization of the stiffness matrix. Subsequent solutions of the convex subproblems form a non-increasing sequence of compliance values. The subproblems are solved using a tailored inexact Newton--Krylov interior point method that leverages relatively inexpensive Hessian-vector products. The algorithm is demonstrated on a series of isotropic and orthotropic multimaterial plane stress design problems.}
}

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