foreign 发表于 2025-3-25 06:18:18
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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国家明智 发表于 2025-3-25 20:20:15
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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不持续就爆 发表于 2025-3-26 04:55:52
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温和女人 发表于 2025-3-26 10:30:35
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Conjugate Pairs,e power spent). Therefore, it is imperative that the stress and strain tensors be conjugate. The notion of conjugation in this context was introduced in the last century. As an example of conjugate pairs, the mechanical work produced by combining second Piola-Kirchhoff stress with Green-Lagrange str