Two optimization problems for the auxeticity properties of anisotropic composite laminates
Source abstract
Abstract
Anisotropic laminates with a negative Poisson’s ratio for at least some directions are called auxetic. In this paper, the conditions for optimizing the auxeticity of an orthotropic laminate are studied, namely: for a laminate composed by a given material, (i) how to obtain the lowest, i.e. the highest negative, Poisson’s ratio and (ii) how to maximize the auxetic zone, i.e. the set of directions where the Poisson’s ratio is negative. It is shown that in both the cases the optimal solution is found on the boundary of the feasible domain and in particular that it can be obtained using angle-ply sequences of identical layers. The polar method with dimensionless moduli is employed for representing the anisotropic behavior of the laminate, which allows, on the one hand, to reduce the dimensionality of the problem and, on the other hand, to have an effective mathematical representation of anisotropy by dimensionless invariants.
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Research context
OpenAlex topics: Cellular and Composite Structures · Structural Analysis and Optimization · Advanced Materials and Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
LMV - Laboratoire de Mathématiques de Versailles, UMR8100, Université de Versailles et Saint Quentin, Versailles, France
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