Titlebook: Hyperelasticity Primer; Robert M. Hackett Textbook 20161st edition Springer International Publishing Switzerland 2016 1st, 2nd, 3rd, and 4

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整理

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議程

妨礙議事

Finite Elasticity,troduction of a strain-energy (or stored-energy) function into elasticity is due to George Green (1793–1841) and elastic solids for which such a function is assumed to exist are said to be Green elastic or hyperelastic. Elasticity without an underlying strain-energy function is called Cauchy elastic

Agnosia

委屈

Polar Decomposition,olar decomposition theorem states that any deformation gradient tensor can be multiplicatively decomposed into the product of an orthogonal tensor, known as the rotation tensor, and a symmetric tensor called the right stretch tensor, or into the product of a symmetric tensor called the left stretch

空中

Strain-Energy Functions,unction of the three invariants of each of the two Cauchy-Green deformation tensors, given in terms of the principal extension ratios, or stretches. A number of different strain-energy formulations exist, having properties and characteristics that make them appropriate for characterizing different h

單獨(dú)

Stress Measures,ensor, a Lagrangian formulation, is the most significant of the stress measures. The formulation and steps for computing it are presented in terms of the Mooney-Rivlin strain-energy function model. The Cauchy stress tensor, an Eulerian formulation, is obtained directly from the second Piola-Kirchhof

切割

Tangent Moduli, is linear, the stiffness does not change as deformation changes. However, for a hyperelastic model, differentiating the strain-energy function with respect to either the finite strain tensor or one of the two Cauchy-Green deformation tensors yields elastic “constants,” the magnitude of which depend