The application provides an isometric
topology optimization method and device based on thermal elastic
metamaterial design, and relates to the field of isometric
topology optimization. The method comprises the following steps: constructing a multi-material interpolation model corresponding to the thermal elastic
metamaterial, and obtaining a plurality of groups of density distributions corresponding to a plurality of
solid materials in the thermal elastic
metamaterial design domain according to the multi-material interpolation model, one
solid material corresponding to one
density distribution; obtaining the relationship interpolation between the plurality of groups of density distributions, and obtaining the
elastic modulus and the
thermal expansion coefficient according to the relationship interpolation; calculating the equivalent
elastic matrix corresponding to the thermal elastic metamaterial according to the
elastic modulus, and calculating the
thermal expansion coefficient matrix corresponding to the thermal elastic metamaterial according to the
thermal expansion coefficient; performing
discrete form processing on the calculation equations of the equivalent
elastic matrix and the thermal expansion
coefficient matrix through the isometric grid, constructing a constraint function according to the equivalent
elastic matrix, constructing an objective function according to the thermal expansion
coefficient matrix, and calculating the sensitivity information corresponding to the first design variable through the objective function and the constraint function; updating the first design variable according to the sensitivity information until the thermal expansion coefficient meets the convergence condition, and obtaining the second design variable when the convergence condition is met through the isometric
topology design model of the
negative thermal expansion metamaterial; and optimizing the thermal elastic metamaterial according to the second design variable. The application solves the problem that the
finite element method is difficult to guarantee the efficient and high-precision design of the thermal elastic metamaterial when dealing with complex geometric structures.