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The Strain-Energy Function for Elastomers
Transactions of the Society of Rheology, 1976It has been shown that the strain-energy function for an incompressible isotropic elastic material must be expressible as a function of two strain invariants I1, I2 which are elementary symmetric functions of the squares of the principal extension ratios λ1, λ2, λ3. Valanis and Landel have proposed a strain-energy function of the form f(λ1)+f(λ2)+f(λ3).
Rivlin, R. S., Sawyers, K. N.
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On the Strain Energy of Shells
Journal of Applied Mechanics, 1954Abstract In a previous paper, the strain energy of a shell was derived with the aid of the assumption that only the linear terms in the thickness co-ordinate z need be retained in the expressions for the strains. Recently, Bleich and DiMaggio derived a strain-energy expression for circular cylindrical shells without using power series in
Langhaar, H. L., Carver, D. R.
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Elastic strain energy of inhomogeneous solids
Physical Review B, 1995A two-phase elastically inhomogeneous coherent mixture of two phases with the transformation-induced crystal lattice misfit is considered under the loaded and unloaded conditions. It is assumed that the constituent phases particles, composing the mixture, have the structural pattern of an arbitrary morphology but the system is macroscopically ...
, Khachaturyan +2 more
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Energies of strained vicinal surfaces and strained islands
Physical Review B, 2001We show that the interaction between the strain field of a surface step with uniform strain gives rise to a negative line energy of steps. The energy of a vicinal surface under compressive strain is found to be lower than the energy of the singular-crystal facet.
V. M. Kaganer, K. H. Ploog
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BEM calculation of strain energy density and relative strain energy in QWR nanostructures
Engineering Analysis with Boundary Elements, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pan, E., Zhang, Y., Chung, P. W.
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The Valanis-Landel Strain-Energy Function
Journal of Elasticity, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Strain energy function for biological tissues
Journal of Biomechanics, 1970Abstract The purpose of this paper is to investigate a possible form of the elastic energy function for soft tissues, which can reproduce the characteristic feature as observed in experiments. The function is assumed to be the sum of the distortional and the dilatational strain energy.
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A Theorem of Maximum Strain Energy
Journal of Applied Mechanics, 1959Abstract A new theorem for elastic structures obeying Hooke’s law is proved and enunciated as follows: If the strain energy can be expressed in terms of given external loads and the positions of points constrained to have no displacement, then the expression will have a maximum value when the positions are such as make the constraining ...
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