Work

Saturation and periodic self-stress in geometric auxetics

Year: 2022

Type: article

Abstract: The auxetic structures considered in this paper are three-dimensional periodic bar-and-joint frameworks. We start with the specific purpose of obtaining an auxetic design with underlying periodic graph of low valency. Adapting a general methodology, we produce an initial framework with valency seven and one degree of freedom. Then, we describe a saturation process, whereby edge orbits are added up to valency 16, with no alteration of the deformation path. This is reflected in a large dimension for the space of periodic self-stresses. The saturated version has higher crystallographic symmetry and allows a precise description of the deformation trajectory. Reducing saturation by adequate removal of edge orbits results in vast numbers of distinct auxetic designs which obey the same kinematics.

Source: Royal Society Open Science

DOI: 10.1098/rsos.220765

Authors: Ciprian S. Borcea, Ileana Streinu

Institutions: Rider University, Smith College

Language: English

Topic: Cellular and Composite Structures

Subfield: Mechanical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,471

Funder: National Science Foundation