TY  - BOOK
AU  - Dorfmann,Luis
AU  - Ogden,Raymond W.
ED  - SpringerLink (Online service)
TI  - Nonlinear Mechanics of Soft Fibrous Materials
T2  - CISM International Centre for Mechanical Sciences,
SN  - 9783709118382
AV  - TA405-409.3 
U1  - 620.1 23
PY  - 2015///
CY  - Vienna
PB  - Springer Vienna, Imprint: Springer
KW  - engineering
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Continuum mechanics
KW  - Engineering
KW  - Continuum Mechanics and Mechanics of Materials
KW  - Applications of Mathematics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-7091-1838-2
ER  -