Current topology optimization of Reissner-Mindlin plates faces dual challenges:the inaccuracy of global stress aggregation in capturing peak stresses and the numerical instability caused by shear locking.This study pr...Current topology optimization of Reissner-Mindlin plates faces dual challenges:the inaccuracy of global stress aggregation in capturing peak stresses and the numerical instability caused by shear locking.This study proposes a rigorous framework that bypasses stress aggregation by enforcing local stress constraints directly via an Augmented Lagrangian(AL)method.To ensure physical fidelity across varying plate thicknesses,we introduce a locking-free polygonal finite element formulation.This approach constructs an assumed shear strain field along element edges,effectively eliminating locking phenomena without relying on reduced integration.The optimization scheme further integrates a vanishing constraint treatment to resolve singularity in low-density regions,with sensitivities computed efficiently via adjoint analysis.Numerical benchmarks demonstrate that the proposed method delivers superior accuracy in peak stress control and robust convergence for both thin and thick plates,offering a scalable solution for stress-critical engineering designs.展开更多
文摘Current topology optimization of Reissner-Mindlin plates faces dual challenges:the inaccuracy of global stress aggregation in capturing peak stresses and the numerical instability caused by shear locking.This study proposes a rigorous framework that bypasses stress aggregation by enforcing local stress constraints directly via an Augmented Lagrangian(AL)method.To ensure physical fidelity across varying plate thicknesses,we introduce a locking-free polygonal finite element formulation.This approach constructs an assumed shear strain field along element edges,effectively eliminating locking phenomena without relying on reduced integration.The optimization scheme further integrates a vanishing constraint treatment to resolve singularity in low-density regions,with sensitivities computed efficiently via adjoint analysis.Numerical benchmarks demonstrate that the proposed method delivers superior accuracy in peak stress control and robust convergence for both thin and thick plates,offering a scalable solution for stress-critical engineering designs.
