Abstract

A computational simulation of fracture behaviour in auxetic cellular structure, subjected to multiaxial loading is presented in this paper. A fracture behaviour of the 3D (three-dimensional) chiral auxetic structure under multiaxial loading conditions was studied. The computational models were used to study the geometry effect of the unit cell on the Poisson’s ratio and fracture behaviour of the analysed chiral auxetic structure. A 3D computational model was built using FEM-code LS DYNA. The discrete computational model of chiral auxetic structure was built using beam finite elements. The lattice model of the analysed auxetic structure was positioned between rigid plates and assembled in a way to simulate a hydro-compression loading conditions. Between the contacting surfaces interactions in normal (contact) and tangential direction (friction) with the node-to-surface approach were simulated. A developed computational model offers insight in the fracture behaviour of considered auxetic cellular structure and helps to better understanding their crushing behaviour under impact multiaxial loading.

Highlights

  • Cellular structures are a relatively new class of materials in modern engineering practice

  • The computational model for multiaxial loading of chiral auxetic structure was built based on the successfully validated computational models presented in previous work [2]

  • The validated computational model was used as a basis for the further computational investigation of a fracture behaviour of 3D chiral auxetic structure under multiaxial loading conditions

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Summary

Introduction

Cellular structures are a relatively new class of materials in modern engineering practice. The negative Poisson’s ratio offers that the auxetic material flows in the direction of the impact zone [5] and does not flow away from the impact zone compared to the conventional cellular materials. Novak et al [12] investigated the effect of the porosity, loading direction and strain rate on the mechanical properties of auxetic cellular structures built from inverted tetrapods. Kramberger et al [14] experimentally and numerical investigated the effect of the shape and distribution of unit cells on the fracture behaviour of 2D (two-dimensional) auxetic cellular structures, under quasi-static loading conditions. The validated computational model was used as a basis for the computational investigation of a fracture behaviour of the 3D chiral auxetic structure under multiaxial loading conditions

Computational analysis
Geometries of chiral auxetic structures
Material model
Boundary conditions and the finite element mesh
Computational results and parametric study
Friction coefficient analysis
Parametric study
Conclusions
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