International Journal for Numerical Methods in Engineering, Год журнала: 2025, Номер 126(10)

Опубликована: Май 20, 2025

ABSTRACT In this work, we present a unified algorithm framework for multimaterial topology optimization with various graded interfaces based on the phase field method. framework, problem is transformed into solving set of linear partial differential equations (PDEs). We then introduce scalar variable to grade material property, resulting in complex nonlinear interpolation operator effective elastic tensor. Following that, define an auxiliary substitute all transformations elliptic equation system. A second‐order accurate Crank–Nicolson scheme applied reformulated system, which high‐order terms are treated semi‐explicit fashion. prove that proposed unconditionally energy stable and demonstrate its stability as well accuracy by numerical examples. series benchmark problems different interfacial behaviors topological design investigated verify effectiveness our The sensitivity parameters model analyzed evaluate their effects structure.

Язык: Английский