Open Access

ARTICLE

On the Compression Viewed as a Geometric Transformation

Ligia Munteanu¹, Cornel Brisan², Veturia Chiroiu³, Stefania Donescu⁴

1 Institute of Solid Mechanics of Romanian Academy, Dept. of Deformable Media and Ultrasonics, Bucharest
2 Technical University of Cluj-Napoca, Dept. of Mechatronics and System Dynamics, Cluj-Napoca
3 Institute of Solid Mechanics of Romanian Academy, Dept. of Deformable Media and Ultrasonics, Bucharest
4 Technical University of Civil Engineering, Bucharest, Dept. of Mathematics and Computer Science, Bucharest

Computers, Materials & Continua 2012, 31(2), 127-146. https://doi.org/10.3970/cmc.2012.031.127

Abstract

A modeling of the compression by using the property of Helmholtz equation to be invariant under geometric transformations is presented in this paper. The versatility of the geometric transformations is illustrated in order to obtain a new interpretation of the compression process. The physical spatial compression leads, most of the times, to new materials with inhomogeneous and anisotropic properties. The compression can be theoretically controlled by the geometric transformations. As an example, new architectures for auxetic materials can be built up by applying the geometric transformations. The new versions are finding their full correspondents in the results of the experiments in which the conventional foams are subjected to compressive cyclic loading.

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Keywords

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