TY - BOOK ID - 4868611 TI - Nonlinear Mechanics of Soft Fibrous Materials AU - Dorfmann, Luis. AU - Ogden, Raymond W. PY - 2015 SN - 9783709118382 3709118379 9783709118375 3709118387 PB - Vienna : Springer Vienna : Imprint: Springer, DB - UniCat KW - Engineering. KW - Continuum Mechanics and Mechanics of Materials. KW - Applications of Mathematics. KW - Mathematics. KW - Materials. KW - Ingénierie KW - Mathématiques KW - Matériaux KW - Chemical & Materials Engineering KW - Engineering & Applied Sciences KW - Materials Science KW - Applied Mathematics KW - Fibrous composites. KW - Nonlinear mechanics. KW - Mechanics, Nonlinear KW - Fiber composites KW - Fiber-reinforced composites KW - Filament reinforced composites KW - Reinforced fibrous composites KW - Applied mathematics. KW - Engineering mathematics. KW - Continuum mechanics. KW - Mechanics, Analytic KW - Composite materials KW - Mechanics. KW - Mechanics, Applied. KW - Solid Mechanics. KW - Math KW - Science KW - Applied mechanics KW - Engineering, Mechanical KW - Engineering mathematics KW - Classical mechanics KW - Newtonian mechanics KW - Physics KW - Dynamics KW - Quantum theory KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Mathematics UR - https://www.unicat.be/uniCat?func=search&query=sysid:4868611 AB - 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. ER -