Multi-material topology optimization of structural load-bearing capacity using limit analysis

• DOI: 10.46298/jtcam.12427
• Publication Date: 2025-02-20T03:25:06Z
• Authors: Leyla Mourad; Jeremy Bleyer; Romain Mesnil; Joanna Nseir; Karam Sab; Wassim Raphael
• Keywords: Topology optimization; Limit Analysis; Limit load

We extend the problem of finding an optimal structure with maximum load-bearing capacity to case multiple materials. first consider a reinforcement optimization where consists fixed background matrix material given strength properties and optimize topology within this material. discuss use various isotropic anisotropic criteria model reinforcing phase, including reinforcements discrete orientations. In second time, we investigate bi-material formulation two phases simultaneously. Various choices for conditions are proposed apply pure tensile compressive single all cases, variants using concepts convex limit analysis theory, namely maximizing under volume constraint or minimizing loading. Both problems penalization procedure is proposed. The underlying can be solved conic programming solvers. Illustrative applications demonstrate versatility formulation, influence selected criteria, possibility obtain structures members orientation different importance granted regions. Finally, also draw parallel generation strut-and-tie models reinforced concrete structures.