A Unified Algorithm Framework for Phase‐Field Based Multimaterial Topology Optimization With Various Graded Interfaces DOI
Qian Yu, Qing Xia, Yibao Li

et al.

International Journal for Numerical Methods in Engineering, Journal Year: 2025, Volume and Issue: 126(10)

Published: May 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.

Language: Английский

An efficient and energy-stable scheme for the modified phase-field crystal equation with a strong nonlinear vacancy potential DOI Creative Commons
Hyun Geun Lee

AIMS Mathematics, Journal Year: 2025, Volume and Issue: 10(3), P. 5568 - 5582

Published: Jan. 1, 2025

Language: Английский

Citations

0
Phase field modeling of melting and solidification dynamics in metallic powders during the bed fusion process DOI
Qing Xia,

Sijing Lai,

Junseok Kim

et al.

Communications in Nonlinear Science and Numerical Simulation, Journal Year: 2025, Volume and Issue: unknown, P. 108762 - 108762

Published: March 1, 2025

Language: Английский

Citations

0
Phase-field computation for 3D shell reconstruction with an energy-stable and uniquely solvable BDF2 method DOI
Dongting Cai, Boyi Fu, Renjun Gao

et al.

Computers & Mathematics with Applications, Journal Year: 2025, Volume and Issue: 189, P. 1 - 23

Published: April 2, 2025

Language: Английский

Citations

0
A Unified Algorithm Framework for Phase‐Field Based Multimaterial Topology Optimization With Various Graded Interfaces DOI
Qian Yu, Qing Xia, Yibao Li

et al.

International Journal for Numerical Methods in Engineering, Journal Year: 2025, Volume and Issue: 126(10)

Published: May 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.

Language: Английский

Citations

0