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• W3020966092 abstract "We assume that the strain energy density, W , for a transversely isotropic and incompressible hyperelastic solid is a complete quadratic function of components of the right Cauchy-Green strain tensor, C . We first discuss restrictions on the seven material parameters appearing in the expression for W . It is shown that for the reference configuration to be stress-free, both terms linear in ( I 4 − 1) and ( I 5 − 1) must simultaneously appear in the expression for W where I 4 = A • CA , I 5 = A • C 2 A , and A is a unit vector along the axis of transverse isotropy. Subsequently, we show that for a prismatic body comprised of this material deformed either in dead-load or displacement-controlled uniaxial tension/compression along A, depending upon the sign of the material parameter h 14 multiplying the term ( I 1 − 3)( I 4 − 1) in the expression for W , the two lateral stretches may bifurcate from being equal to being unequal for a stable solution defined as the one that has lower free energy. Here I 1 = tr ( C ) where tr is the trace operator. This is similar to Kearsley's instability in an isotropic square Mooney-Rivlin membrane deformed with equal biaxial dead loads on the edges for which the stable deformed configuration shifts from having equal to unequal biaxial stretches." @default.
• W3020966092 created "2020-05-13" @default.
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• W3020966092 date "2020-07-01" @default.
• W3020966092 modified "2023-09-26" @default.
• W3020966092 title "Kearsley-type instabilities in finite deformations of transversely isotropic and incompressible hyperelastic materials" @default.
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• W3020966092 doi "https://doi.org/10.1016/j.ijsolstr.2020.03.012" @default.
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