A topology optimization method for arbitrary Poisson's ratio metamaterials

Abstract

The invention provides a topology optimization forming method of arbitrary Poisson's ratio metamaterial, which comprises the following steps: step 1, dividing a functional unit design area in the metamaterial; 2, divide that functional basic element design region into finite element meshes and input the initial conditions of the optimization problem; 3, carry out finite element analysis and calculation on that functional design area to obtain the mechanical performance parameters of the finite element and the node; 4, establish a mathematical model of a metamaterial topology optimization design problem based on that mechanical property parameter of a finite element and a node; 5, solving a mathematical model of that topology optimization problem to obtain a topology optimization result; 6,extract that configuration of the topology optimization result for verification analysis; Step 7: Periodically repeat the ordering of the optimal configurations of the functional units to form the metamaterials. The invention can directly design a new configuration metamaterial with a specified Poisson's ratio value without specifying the geometrical topology configuration of the initial functional unit.

Description

technical field [0001] The present invention relates to the technical field of engineering material design, in particular to a topology optimization formation method of arbitrary Poisson's ratio metamaterials, in particular to a design method of arbitrary Poisson's ratio metamaterials based on topology optimization technology. Background technique [0002] Metamaterials have the characteristics of light weight, energy absorption, and vibration absorption, and have been widely used in the fields of national defense, transportation, and aerospace. Most of the existing research on metamaterials is to analyze the mechanical properties of metamaterials by means of experiments and simulations, and most of these research works are carried out based on metamaterials with conventional configurations. relatively lacking. The research conclusion in the literature "Findeisen C, Hohe J, Kadic M, et al.Characteristics of mechanical metamaterials based on buckling elements. Journal of the...

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Problems solved by technology

However, these optimization methods can only achieve optimal design by changing the dimensional parameters of functional primitives such as wall thickness and angle on the basis of functional primitives with deterministic configurations, but cannot achieve optimal design by changing the topological configuration of functional primitives. More space to improve the mechanical properties of metamaterials

[0004] In addition, due to the problem that the Poisson's ratio cannot be determined in the process of designing a new configuration of honeycomb materials, and there are a large number of irregular pores inside the porous material, the internal structure becomes complex, so the study of its macroscopic structural properties has more engineering application value

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