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The strain energy density function

1986
Failure prediction deals with the forecast of conditions involving material damage that tends to decrease the capability of structural members to support load. With the added influence of moisture and temperature, the situation becomes more complicated because their interaction with mechanical stresses must also be considered. This concern arises since
G. C. Sih, J. G. Michopoulos, S. C. Chou
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Strain energy density failure criterion

International Journal of Solids and Structures, 2001
Starting from Clausius-Duhem inequality in which the free energy depends on elastic and plastic strains, temperature, damage tensor and plastic internal variables, the author derives an intrinsic general dissipative energy density leading to a failure criterion described by the critical value of elastic strain energy density.
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Pseudo Strain Energy Density-Based Structural Damage Identification

Key Engineering Materials, 2009
In this paper, a new time-domain method for detecting structural local damage has been developed, which is based on the measured strain signals. The “pseudo strain energy density (PSED)” is defined and used to build two major damage indexes, the “average pseudo strain energy density” (APSED) and the “average pseudo strain energy density changing rate” (
Xiao Qiang Chen   +2 more
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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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