Topology optimization of continuum structures with materials exhibiting different tensile and compressive properties

The effects of the difference between the tensileand compressive properties (TCPs) of materials on the final topologies ofstructures are investigated with floating reference intervals in theoptimization case of a bone growing process based on Wolff's law. There aretwo aspects in the difference on TCPs of basal materials to have equivalenteffects on the structural topology optimization: one is the differencebetween their tensile and compressive Young's moduli, , the other is thevariation of the intervals of their references strains in bone growingprocess under the tensile or compressive state . The numerical cases verifythis equivalence and further reveal a more reasonable structure topologysubjected to the differences on TCPs of the materials.