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This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.

Mechanics. --- Mechanics, Applied. --- Mathematical physics. --- Continuum physics. --- Solid Mechanics. --- Mathematical Applications in the Physical Sciences. --- Classical and Continuum Physics. --- Elastic solids. --- Continuum mechanics --- Mechanics --- Solids --- Statics --- Physical mathematics --- Physics --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Classical field theory --- Continuum physics --- Mathematics --- Field theory (Physics)

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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.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Applications of Mathematics. --- Mathematics. --- Materials. --- Ingénierie --- Mathématiques --- Matériaux --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Materials Science --- Applied Mathematics --- Fibrous composites. --- Nonlinear mechanics. --- Mechanics, Nonlinear --- Fiber composites --- Fiber-reinforced composites --- Filament reinforced composites --- Reinforced fibrous composites --- Applied mathematics. --- Engineering mathematics. --- Continuum mechanics. --- Mechanics, Analytic --- Composite materials --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Math --- Science --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics

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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.

Mathematics --- Classical mechanics. Field theory --- Solid state physics --- Applied physical engineering --- toegepaste wiskunde --- toegepaste mechanica --- economie --- wiskunde --- mechanica

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Mathematical physics --- Classical mechanics. Field theory --- Fluid mechanics --- Applied physical engineering --- toegepaste mechanica --- wiskunde --- fysica --- mechanica

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This book offers a comprehensive and timely overview of the latest developments in the field of biomechanics and extensive knowledge of tissue structure, function, and modeling. Gathering chapters written by authoritative scientists, it reports on a range of continuum and computational models of solids, and related experimental works, for biomechanical applications. It discusses cutting-edge advances such as constitutive modeling and computational simulation of biological tissues and organs under physiological and pathological conditions, and their mechanical characterization. It covers innovative studies on arteries, heart, valvular tissue, and thrombus, brain tumor, muscle, liver, kidney, and stomach, among others. Written in honor of Professor Gerhard A. Holzapfel, the book provides specialized readers with a thorough and timely overview of different types of modeling in biomechanics, and current knowledge about biological structures and function.

Solid state physics --- General biophysics --- Human biochemistry --- Pharmacology. Therapy --- Human medicine --- Applied physical engineering --- medische biochemie --- toegepaste mechanica --- geneeskunde --- histologie --- biomechanica --- mechanica