Anisotropic multi-material thermal-mechanical coupled structure topology optimization method based on meshless efgm

Abstract

The application discloses an anisotropic multi-material thermal coupling structure topology optimization method based on an EFGM, and mainly comprises the following steps: inputting the number of anisotropic multi-material types, volume fraction, secondary elastic modulus, shear modulus, secondary Poisson's ratio, Poisson's ratio factor, secondary thermal conductivity coefficient, thermal conductivity factor, force-thermal material direction angle, iteration step number, tolerance, and punishment degree; discretely designing a domain by using an EFGM node; giving force-thermal load and boundary, weight coefficient and other parameters; solving anisotropic multi-material elasticity and heat transfer matrix; establishing an anisotropic multi-material thermal coupling structure topology optimization mathematical model based on the EFGM and a multi-material SIMP interpolation scheme; solving displacement field, temperature field, volume and weighted objective function sensitivity; judging whether the multi-level iteration is terminated or not; and outputting an optimal solution. The anisotropic multi-material thermal coupling structure topology optimization method has high practicability, eliminates numerical instability phenomena such as chessboard grids, and has clear multi-material boundaries.

Images