%0 Journal Article %T Topologyoptimizationofmaterialmicrostructuresusingstrainenergy-basedpredictionofeffectiveelasticproperties %A 张卫红戴高明王凤稳孙士平Hicham %A Bassir %J 力学学报 %P 77-89 %D 2007 %R 10.6052/0459-1879-2007-1-2006-086 %X Analternativestrainenergymethodisproposedforthepredictionofeffectiveelasticpropertiesoforthotropicmaterialsinthispaper.Themethodisimplementedinthetopologyoptimizationproceduretodesigncellularsolids.Acomparativestudyismadebetweenthestrainenergymethodandthewell-knownhomogenizationmethod.Numericalresultsshowthatbothmethodsagreewellinthenumericalpredictionandsensitivityanalysisofeffectiveelastictensorwhenhomogeneousboundaryconditionsareproperlyspecified.Twodimensionaland3dimensionalmicrostructuresareoptimizedformaximumstiffnessdesignsbycombiningtheproposedmethodwiththedualoptimizationalgorithmofconvexprogramming.Satisfactoryresultsareobtainedforavarietyofdesigncases. %K Cellular %K solids %K Material %K design %K Homogenization %K method %K Strain %K energy %K Topology %K optimization %U http://lxxb.cstam.org.cn/CN/abstract/abstract141532.shtml