Multi-objective topology optimization of thermal-mechanical coupling anisotropic structures using the isogeometric analysis approach

Abstract

A multi-objective topology optimization model of thermal-mechanical coupling anisotropic structures based on the isogeometric analysis (IGA) approach is proposed, and the high order non-uniform rational B-spline (NURBS) is used as the basis functions. The correctness and superiority of the proposed model have been verified by numerical examples, and the present model is higher efficient than the FEM model. The results illustrate that the IGA optimal topological structures also have better performance and smoother profiles since the IGA approach can ensure the consistency of the discrete model with the geometry model in the curved boundaries problem. The effects of filter factors, thermal conductivity factors, Poisson's ratio factors and off-angles on IGA topological structures and their performance are explored, and the appropriate range of filter factors and above anisotropic parameters are recommended as 0.4∼0.8, 0.2∼0.5, 2∼10 and 15°∼45° for the heat dissipation gasket, respectively. The maximum temperature of the anisotropic IGA optimal topological structure under Ht = 0.2, Bt = 2 and θ = 45° is 2.59% lower than that of the isotropic structure.