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- W2004273612 abstract "Measurements of the elastic constants in Landau’s expansion of the strain energy density reported by Catheline et al. for a soft tissue phantom reveal that they differ by five orders of magnitude [J. Acoust. Soc. Am. 112, 2404 (2002)]. A more appropriate expansion would possess constants of the same order. Landau’s third-order expansion of the elastic energy density is extended to fourth order. The corresponding elastic constants are related to those for liquids. The principal contribution is an alternative formulation of the energy density that permits separation of effects due to compressibility and shear deformation. To fourth order its expansion is E≂E0(ρ)+μI2+1/3AI3+DI22, where ρ is density, I2 and I3 are the second- and third-order Lagrangian strain invariants used by Landau, μ is the shear modulus, A is one of Landau’s third-order elastic constants, and D is a new fourth-order elastic constant. For processes involving mainly compressibility E≂E0(ρ), and for processes involving mainly shear deformation E≂μI2+1/3AI3+DI22. Comparison with the parameters in Mooney’s potential function for incompressible elastic media shows the three constants to be of the same order. [Work supported by the IR&D Program at ARL:UT.]" @default.
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- W2004273612 date "2003-10-01" @default.
- W2004273612 modified "2023-10-12" @default.
- W2004273612 title "New formulation of the elastic energy density for soft tissue" @default.
- W2004273612 doi "https://doi.org/10.1121/1.4809220" @default.
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