Journal ArticleDOI
Inequalities between the constants of a linear micro-elastic solid
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In this article, a set of inequalities between the eighteen constants of a linear micro-elastic solid have been obtained, which are both necessary and sufficient to ensure that the internal energy density should be positive definite.About:
This article is published in International Journal of Engineering Science.The article was published on 1968-05-01. It has received 31 citations till now.read more
Citations
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Microporous materials with negative Poisson's ratios. I. Microstructure and mechanical properties
B. D. Caddock,Kenneth E. Evans +1 more
TL;DR: In this article, a microporous, anisotropic form of expanded polytetrafluoroethylene has been found to have a large negative major Poisson's ratio.
Journal ArticleDOI
A unifying perspective: the relaxed linear micromorphic continuum
TL;DR: In this article, a relaxed linear elastic micromorphic continuum model with symmetric Cauchy force stresses and curvature contribution depending only on the micro-dislocation tensor is proposed.
Journal ArticleDOI
The fabrication of microporous polyethylene having a negative Poisson's ratio
K.L. Alderson,Kenneth E. Evans +1 more
TL;DR: In this paper, a novel thermoforming processing route has been developed that produces a microporous form of ultra high molecular weight polyethylene that demonstrates large negative Poisson's ratios.
Journal ArticleDOI
Tensile network microstructures exhibiting negative Poisson's ratios
TL;DR: In this article, a group of tensile microstructures are modelled that exhibit negative Poisson's ratios, where topological interactions occur between first and second-nearest neighbor particles to produce cooperative transverse expansions under longitudinal loading.
Journal ArticleDOI
Determining material constants in micromorphic theory through phonon dispersion relations
Youping Chen,James D. Lee +1 more
TL;DR: In this article, the phonon dispersion relations for micromorphic isotropic elastic solid were derived from atomistic calculations or experimental measurements, and the numerical algorithm to determine the material constants for single crystal silicon and diamond were presented.
References
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Book
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.
Journal ArticleDOI
Nonlinear theory of simple micro-elastic solids-i
A. Cemal Eringen,E.S. Suhubi +1 more
TL;DR: In this paper, the formulation of the basic field equations, boundary conditions and constitutive equations of simple micro-elastic solids is discussed. And explicit expressions of constitutive expressions of several simple micro elastic solids are given and applied to some special problems.
Journal ArticleDOI
Nonlinear theory of micro-elastic solids—II☆
E.S. Suhubl,A. Cemal Eringen +1 more
TL;DR: In this paper, the specific form of constitutive equations for isotropic micro-elastic materials, various approximate theories, the linear and the determinate theory of couple stress, were obtained and applied to the study of the Rayleigh surface waves in microelasticity.
Journal ArticleDOI
Micro-materials and multipolar continuum mechanics
TL;DR: In this paper, the basic equations given by these authors are re-derived using the methods of Green and Rivlin, in order to see the relation between the work of Eringen and Suhubi, and other writers.
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