The invention provides an isogeometric
topology optimization method and device based on thermoelastic
metamaterial design, and relates to the field of isogeometric
topology optimization. The method comprises the following steps: constructing a multi-material interpolation model corresponding to a thermoelastic
metamaterial, and obtaining multiple groups of density distributions corresponding to multiple
solid materials and one
density distribution corresponding to one
solid material in a thermoelastic
metamaterial design domain according to the multi-material interpolation model; obtaining a relation interpolation among the multiple groups of density distributions, and obtaining an
elastic modulus and a
thermal expansion coefficient according to the relation interpolation; calculating an equivalent
elastic matrix corresponding to the thermoelastic metamaterial according to the
elastic modulus, and calculating a
thermal expansion coefficient matrix corresponding to the thermoelastic metamaterial according to the
thermal expansion coefficient; performing
discretization form processing on the calculation equations of the equivalent
elastic matrix and the thermal expansion
coefficient matrix through an isogeometric grid, constructing a constraint function according to the equivalent
elastic matrix, constructing a target function according to the thermal expansion
coefficient matrix, and calculating sensitivity information corresponding to the first design variable through the target function and the constraint function; updating the first design variable according to the sensitivity information until the thermal expansion coefficient meets a convergence condition, and acquiring a second design variable meeting the convergence condition through geometric
topology design models such as a
negative thermal expansion metamaterial; and performing optimization design on the thermoelastic metamaterial according to the second design variable. The problem that when a complex geometric structure is processed, a
finite element method is difficult to guarantee efficient and high-precision design of the thermoelastic metamaterial is solved.