Nonlinear mechanics of soft fibrous materials
著者
書誌事項
Nonlinear mechanics of soft fibrous materials
（CISM courses and lectures, 559）
Springer, c2015
- : hardback
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注記
"This volume consists of Lecture Notes based on lectures delivered at the Advanced School on the "Nonlinear Mechanics of Soft Fibrous Materials" held at the International Centre for Mechanical Sciences (CISM) in Udine, Italy, during July 1-5, 2013."--Pref
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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