Results 241 to 250 of about 840,861 (292)

The strain energy density of cubic epitaxial layers

Journal of Crystal Growth, 1996
Abstract We obtain a compact exact expression for the strain energy density of a cubic epitaxial medium in the limit of linear elasticity theory. Only the result for 001 is identical to the isotropic case: the greatest departure from isotropic theory occurs for 111. We have evaluated this difference for a large number of cubic media and have obtained
D.J. Bottomley, P. Fons
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Strain energy density for hexagonal ultra thin overlayers

Thin Solid Films, 2003
Abstract Based on the transformed stiffness constants for ultra-thin layers of hexagonal crystals, we have derived explicitly the Hookian relation and the strain energy density for the stressed overlayers 10 1 0 , 11 2 0 , 10 1 1 and 11 2 2 .
J.-H.C. Schönfeldt, H.W. Kunert
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Incompressibility and materials with complementary strain-energy density

Journal of Elasticity, 1993
The constitutive equations for nonlinear elastic incompressible materials involve an indeterminate pressure field as an additional postulate on material behavior. In the paper this indeterminacy is examined and it is shown that the indeterminacy of the pressure at given strain is necessary and sufficient for incompressibility.
Reynolds, David J., Blume, Janet A.
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Distortional strain energy density criterion: the

Engineering Fracture Mechanics, 1991
Abstract The complete formulation of the distortional strain energy density criterion is presented. The criterion minimizes the distortional strain energy density component to predict the propagation direction. It further postulates that propagation will commence when this minimum reaches the material critical distortional strain energy density ...
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The Strain-Energy Density of Compressible, Rubber-Like Axishells

Journal of Applied Mechanics, 1987
A recent method for deriving, by descent from three dimensions, strain-energy densities in a first-approximation, large-strain theory of incompressible, elastically isotropic shells of revolution undergoing torsionless, axisymmetric deformation (axishells) is adapted to axishells made of compressible material. Application is made to the Blatz-Ko strain-
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A Modified Strain-Energy Density Criterion Applied to Crack Propagation

Journal of Applied Mechanics, 1982
An exact solution is presented to the problem of the crack-initiation direction by applying the minimum strain-energy density criterion in the case of a slant crack loaded uniaxially. The exact expressions of stresses, obtained from Muskhelishvili’s complex functions, are used in evaluating strain energy.
Theocaris, P. S., Andrianopoulos, N. P.
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The Elastic Strain Energy Density

1993
Study of the distribution of elastic strain energy density at the crack tip is of special interest in understanding the mechanism of fracture.
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Local Strain Energy Density Concept

2013
The local strain energy density (SED) approach is elaborated for strength assessments in respect of brittle fracture and high-cycle fatigue. Pointed and rounded (blunt) V-notches subjected to tensile loading (mode 1) are primarily considered, occasionally extended to multiaxial conditions (mode 3, mixed mode 1 and 2).
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Cauchy–Born strain energy density for coupled incommensurate elastic chains

ESAIM: Mathematical Modelling and Numerical Analysis, 2018
The recent fabrication of weakly interacting incommensurate two-dimensional layer stacks (A. Geim and I. Grigorieva, Nature 499 (2013) 419–425) requires an extension of the classical notion of the Cauchy–Born strain energy density since these atomistic systems are typically not periodic.
Paul Cazeaux, Mitchell Luskin
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Femoral bone mineral density distribution is dominantly regulated by strain energy density in remodeling

Bio-Medical Materials and Engineering, 2000
BACKGROUND: It is well known that there is a relationship between bone strength and the forces that are daily applied to the bone. However, bone is a highly heterogeneous material and it is still not clear how mechanical variables regulate the distribution of bone mass in a femur.
Yichen, Zhang, Yunhua, Luo
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