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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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The strain energy density criterion

1984
It is a common experience that breakage of a material under load can be preceded either by large or small deformation depending on the temperature, rate of loading and other variables present. The former occurs over a relatively long time period and may be associated with yielding or plastic flow.
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Strain energy density failure criterion

1990
The selection of failure criteria for predicting the allowable load of structural components has historically been one of the problematic areas in design. The conventional approach often tends to penalize the structure in weight and size, if not economically.
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The strain energy density of rubber-like shells

International Journal of Solids and Structures, 1985
Under the assumption that the state of a shell is described by the change in the first and second fundamental forms of its midsurface from an initially elastic isotropic state, an approximate strain energy density is derived, first using strictly two-dimensional arguments and then by descent from three dimensions assuming incompressibility.
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Fracture initiation under gross yielding: Strain energy density criterion

Engineering Fracture Mechanics, 1983
Abstract The damage of metal alloys at the continuum level can be described by a combined process of yielding and fracture. Yielding is generally associated with excessive distortion and fracture with excessive dilatation. With the increased use of low strength alloys, gross yielding can often precede the initiation of macrocracking.
G.C. Sih, E. Madenci
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A Strain Energy Density Function for Compressible Rubberlike Materials

Transactions of the Society of Rheology, 1976
A strain energy density function has been developed for compressible rubber-like materials. Its usefulness is demonstrated on hand of published data on the volume dilatation of natural rubber in simple tension.
S. C. Sharda, N. W. Tschoegl
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Local Strain Energy Density and Fatigue Strength of Welded Joints

2008
Weld bead geometry cannot, by its nature, be precisely defined. Parameters such as bead shape and toe radius vary from joint to joint even in well-controlled manufacturing operations (Taylor et al., [1]). In the notch stress intensity approach to the fatigue assessment of welded joints, the weld toe is modelled as a sharp V-notch and local stress ...
Lazzarin P., LIVIERI, Paolo, Berto F.
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Experimental fracture mechanics: strain energy density criterion

1991
The objective of this chapter is to impart a better understanding of the mutual dependence of theory and experiment in fracture mechanics. An experiment cannot be considered successful unless the results are interpreted within the framework of some preconceived concept and/or theoretical prediction.
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