Nonlinear Mechanics of Soft Fibrous Materials
The book presents a state-of-the-art overview of the fundamental theories, established models and ongoing research related to the modeling of these materials. Two approaches are conventionally used to develop constitutive relations for highly deformable fibrous materials. According to the phenomenol...
| Published in: | Springer eBooks |
|---|---|
| Corporate Author: | |
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Vienna :
Springer Vienna : Imprint: Springer,
2015.
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| Edition: | 1. |
| Series: | CISM International Centre for Mechanical Sciences,
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-7091-1838-2 Перейти в каталог НБ ТГУ |
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| 245 | 1 | 0 | |a Nonlinear Mechanics of Soft Fibrous Materials |h electronic resource |c edited by Luis Dorfmann, Raymond W. Ogden. |
| 250 | |a 1. | ||
| 260 | |a Vienna : |b Springer Vienna : |b Imprint: Springer, |c 2015. |9 742220 | ||
| 300 | |a VII, 305 p. 69 illus. |b online resource. | ||
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| 490 | 1 | |a CISM International Centre for Mechanical Sciences, |x 0254-1971 ; |v 559 | |
| 505 | 0 | |a Nonlinear elasticity with applications to soft fibre-reinforced materials -- Porous materials with statistically oriented reinforcing fibres -- Nonlinear elasticity for soft fibrous materials -- Modeling of bioactive materials -- Incremental equations for soft fibrous materials -- Effects of fibre bending and twisting resistance on the mechanics of fibre-reinforced elastomers. | |
| 520 | |a The book presents a state-of-the-art overview of the fundamental theories, established models and ongoing research related to the modeling of these materials. Two approaches are conventionally used to develop constitutive relations for highly deformable fibrous materials. According to the phenomenological approach, a strain energy density function can be defined in terms of strain invariants. The other approach is based on kinetic theories, which treats a fibrous material as a randomly oriented inter-tangled network of long molecular chains bridged by permanent and temporary junctions. At the micro-level, these are associated with chemical crosslinks and active entanglements, respectively. The papers include carefully crafted overviews of the fundamental formulation of the three-dimensional theory from several points of view, and address their equivalences and differences. Also included are solutions to boundary-value problems which are amenable to experimental verification. A further aspect is the elasticity of filaments, stability of equilibrium and thermodynamics of the molecular network theory. | ||
| 650 | 0 | |a engineering. |9 224332 | |
| 650 | 0 | |a Applied mathematics. |9 460111 | |
| 650 | 0 | |a Engineering mathematics. |9 303575 | |
| 650 | 0 | |a Continuum mechanics. |9 567474 | |
| 650 | 1 | 4 | |a Engineering. |9 224332 |
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| 650 | 2 | 4 | |a Applications of Mathematics. |9 296781 |
| 700 | 1 | |a Dorfmann, Luis. |e editor. |9 446036 | |
| 700 | 1 | |a Ogden, Raymond W. |e editor. |9 469940 | |
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| 830 | 0 | |a CISM International Centre for Mechanical Sciences, |9 315666 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-7091-1838-2 |
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