Nonlinear Theory of Electroelastic and Magnetoelastic Interactions 2013
DOI: 10.1007/978-1-4614-9596-3_3
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Nonlinear Elasticity Background

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Cited by 2 publications
(4 citation statements)
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“…A so-called hyperelastic material (or in the literature often called a Green-elastic material) postulates the existence of a Helmholtz free-energy function , which is defined per unit reference volume than per unit mass. [35][36][37][38][39][40][41] For the case in which = (F) is solely a function of F or some strain tensor, the Helmholtz free-energy function is referred to as the strain-energy function or stored energy function. We now restrict attention to homogeneous materials in which the distributions of the internal constituents are assumed to be uniform on the continuum scale.…”
Section: Hyperelastic Materialsmentioning
confidence: 99%
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“…A so-called hyperelastic material (or in the literature often called a Green-elastic material) postulates the existence of a Helmholtz free-energy function , which is defined per unit reference volume than per unit mass. [35][36][37][38][39][40][41] For the case in which = (F) is solely a function of F or some strain tensor, the Helmholtz free-energy function is referred to as the strain-energy function or stored energy function. We now restrict attention to homogeneous materials in which the distributions of the internal constituents are assumed to be uniform on the continuum scale.…”
Section: Hyperelastic Materialsmentioning
confidence: 99%
“…A very sophisticated development for simulating incompressible (rubber-like) materials in the phenomenological context is due to Ogden. 36,37 The postulated strain energy is a function of the principal stretches λ a , a = 1, 2, 3, which is computationally simple and plays a crucial role in the theory of finite elasticity. It describes the changes of the principal stretches from the reference to the current configuration and has the form…”
Section: Extension and Compression Of A Rodmentioning
confidence: 99%
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