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Statistical Mechanics of Elasticity
J. H. Weiner,F. Milstein +1 more
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The article was published on 1983-03-01 and is currently open access. It has received 466 citations till now. The article focuses on the topics: Elasticity (economics).read more
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Quasicontinuum analysis of defects in solids
TL;DR: In this article, a finite element methodology for the analysis of problems requiring the simultaneous resolution of continuum and atomistic length scales-and associated deformation processes-in a unified manner is presented.
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Advances in negative Poisson's ratio materials
TL;DR: In this paper, the relationship between shear modulus G, bulk modulus K, and Poisson's ratio v for isotropic materials is given by Equation (1).
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Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
Marino Arroyo,Ted Belytschko +1 more
TL;DR: In this paper, a finite deformation continuum theory is derived from interatomic potentials for the analysis of the mechanics of carbon nanotubes, and the expression for the flexural stiffness of graphene sheets, which cannot be obtained from standard crystal elasticity, is derived.
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Deformation mechanisms in negative Poisson's ratio materials : structural aspects
TL;DR: In this paper, a negative Poisson's ratio was found for isotropic materials with non-central forces and pre-load in the presence of rotational degrees of freedom, non-affine deformation, or anisotropic structure.
Book
Modeling Materials: Continuum, Atomistic and Multiscale Techniques
Ellad B. Tadmor,Ronald E. Miller +1 more
TL;DR: In this paper, the authors present the complete fundamentals of multiscale modeling for graduate students and researchers in physics, materials science, chemistry, and engineering, with examples drawn from modern research on the thermodynamic properties of crystalline solids.