Topology Optimization of Continuum Structures with Local Stress Constraints

Pierre Duysinx, Martin P Bendsøe

    Research output: Contribution to journalJournal articleResearchpeer-review


    We introduce an extension of current technologies for topology optimization of continuum structures which allows for treating local stress criteria. We first consider relevant stress criteria for porous composite materials, initially by studying the stress states of the so-called rank 2 layered materials. Then, on the basis of the theoretical study of the rank 2 microstructures, we propose an empirical model, that extends the power penalized stiffness model (also called SIMP for Solid Isotropic Microstructure with Penalization for intermediate densities). In a second part, solution aspects of topology problems are considered. To deal with the so-called 'singularity' phenomenon of stress constraints in topology design, an epsilon-constraint relaxation of the stress constraints is used. We describe the mathematical programming approach that is used to solve the numerical optimization problems, and show results for a number of example applications. (C) 1998 John Wiley & Sons, Ltd.
    Original languageEnglish
    JournalInternational Journal for Numerical Methods in Engineering
    Issue number8
    Pages (from-to)1453-1478
    Publication statusPublished - 1998


    • Topology optimization
    • Stress constraints
    • Continua


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