Limits to Poisson's ratio in isotropic materials—general result for arbitrary deformation
P. H. Mott,C. M. Roland +1 more
TLDR
In this article, the lower bound on the Poisson's ratio for isotropic materials from linear elasticity theory is derived from the relationship between? and the bulk and shear moduli.Abstract:
The lower bound customarily cited for Poisson's ratio ?, ?1, is derived from the relationship between ? and the bulk and shear moduli in the classical theory of linear elasticity. However, experimental verification of the theory has been limited to materials having ????0.2. From consideration of the longitudinal and biaxial moduli, we recently determined that the lower bound on ? for isotropic materials from this theory is actually . Herein we generalize this result, first by analyzing expressions for ? in terms of six common elastic constants, and then by considering arbitrary strains. The results corroborate that for classical linear elasticity to be applicable. Of course, a few materials exist for which ??<?0.2, thus deviating from this bound; accurate analysis of their mechanical behavior requires more sophisticated elasticity models.read more
Citations
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δ-Phosphorene: a two dimensional material with a highly negative Poisson's ratio
TL;DR: The previously proposed δ-phosphorene (δ-P) nanosheets are rediscovered which are good auxetic materials with a high NPR, and the results show that the Young's modulus and Poisson's ratio of ε-P are all anisotropic.
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Auxetic materials — A review
TL;DR: In this paper, the authors present the theories that explain the deformation behavior of auxetic materials and reveal the important role represented by the internal structure in their deformation and some potential applications for these materials.
Journal ArticleDOI
First principle calculations and mechanical properties of the intermetallic compounds in a laser welded steel/aluminum joint
Yulong Li,Yanru Liu,Jin Yang +2 more
TL;DR: In this paper, the elastic constants of intermetallic compounds have been systematically calculated using the first-principle methods and the results show that the calculated elastic constants satisfy the mechanical stability conditions.
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Elastocapillary deformations on partially-wetting substrates: rival contact-line models.
TL;DR: In this paper, a displacement potential function for the elastic deformations within a finite elastic substrate associated with these wetting forces is constructed, and the results for several different contact-line models are compared.
Journal ArticleDOI
Manufacturing, characteristics and applications of auxetic foams: A state-of-the-art review
Wei Jiang,Xin Ren,Shijin Wang,Xue Gang Zhang,Xiang Yu Zhang,Chen Luo,Yi Min Xie,Fabrizio Scarpa,Andrew Alderson,Kenneth E. Evans +9 more
TL;DR: A review article discussing the state-of-the-art for manufacturing, characterization and applications of auxetic foams is presented in this article , where the authors also provide a view of the existing challenges and possible future research directions.
References
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Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene
TL;DR: Graphene is established as the strongest material ever measured, and atomically perfect nanoscale materials can be mechanically tested to deformations well beyond the linear regime.
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A treatise on the mathematical theory of elasticity
TL;DR: Webb's work on elasticity as mentioned in this paper is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity.
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Introduction to the mechanics of a continuous medium
TL;DR: In this article, the authors propose a linearized theory of elasticity for tensors, which they call Linearized Theory of Elasticity (LTHE), which is based on tensors and elasticity.
Book
Single Crystal Elastic Constants and Calculated Aggregate Properties. A Handbook
Gene Simmons,Herbert F. Wang +1 more
TL;DR: In this paper, the authors present data on the elastic properties of single crystals collected from the literature through mid-1970 and the elastic property of isotropic aggregates which are calculated according to the schemes of Voigt and Reuss for all materials, and Hashin and Shtrikman for materials with cubic symmetry.
MonographDOI
Mechanical Behavior of Materials
TL;DR: A balanced mechanics-materials approach and coverage of the latest developments in biomaterials and electronic materials, the new edition of this popular text is the most thorough and modern book available for upper-level undergraduate courses on the mechanical behavior of materials as discussed by the authors.