Minimization of Poisson's ratio in anti-tetra-chiral two-phase structure

2017 International Conference on Structural, Mechanical and Materials Engineering

材料科学;力学

Idczak, E.^1 ; Strek, T.^1

Institute of Applied Mechanics, Poznan University of Technology, ul. Jana Pawla II 24, Poznan

61-139, Poland^1

关键词: Designing structures;    Negative poisson's ratios;    Numerical calculation;    Optimization method;    Solid isotropic material with penalization methods;    Topological optimization;    Two phase composites;    Two-phase structures;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/248/1/012006/pdf
DOI  :  10.1088/1757-899X/248/1/012006

来源: IOP

【 摘 要 】

One of the most important goal of modern material science is designing structures which exhibit appropriate properties. These properties can be obtained by optimization methods which often use numerical calculations e.g. finite element method (FEM). This paper shows the results of topological optimization which is used to obtain the greatest possible negative Poisson's ratio of the two-phase composite. The shape is anti-tetra-chiral two-dimensional unit cell of the whole lattice structure which has negative Poisson's ratio when it is built of one solid material. Two phase used in optimization are two solid materials with positive Poisson's ratio and Young's modulus. Distribution of reinforcement hard material inside soft matrix material in anti-tetra-chiral domain influenced mechanical properties of structure. The calculations shows that the resultant structure has negative Poisson's ratio even eight times smaller than homogenous anti-tetra chiral structure made of classic one material. In the analysis FEM is connected with algorithm Method of Moving Asymptote (MMA). The results of materials' properties parameters are described and calculated by means of shape interpolation scheme - Solid Isotropic Material with Penalization (SIMP) method.