Nonlinear Mechanics of Soft Fibrous Materials PDF Download
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Author: Luis Dorfmann
Publisher: Springer
ISBN: 3709118387
Category : Science
Languages : en
Pages : 311
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Book Description
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.
Author: Luis Dorfmann
Publisher: Springer
ISBN: 3709118387
Category : Science
Languages : en
Pages : 311
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Book Description
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.
Author: Konstantin Volokh
Publisher: Springer
ISBN: 9811383715
Category : Science
Languages : en
Pages : 171
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Book Description
This book provides a concise introduction to soft matter modelling, together with an up-to-date review of the continuum mechanical description of soft and biological materials, from the basics to the latest scientific materials. It also includes multi-physics descriptions, such as chemo-, thermo-, and electro-mechanical coupling. The new edition includes a new chapter on fractures as well as numerous corrections, clarifications and new solutions. Based on a graduate course taught for the past few years at Technion, it presents original explanations for a number of standard materials, and features detailed examples to complement all topics discussed.
Author:
Publisher: Oxford University Press
ISBN: 0198567782
Category :
Languages : en
Pages : 197
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Book Description
Author: Y. B. Fu
Publisher: Cambridge University Press
ISBN: 0521796954
Category : Mathematics
Languages : en
Pages : 541
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Book Description
Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.
Author: Brian Derby
Publisher: Springer
ISBN: 3319039709
Category : Technology & Engineering
Languages : en
Pages : 268
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Book Description
Exploring the structure and mechanics of aging soft tissues, this edited volume presents authoritative reviews from leading experts on a range of tissues including skin, tendons, vasculature and plantar soft tissues. It provides an overview of in vivo and in vitro measurement techniques including state-of-the-art methodologies, as well as focusing on the structural changes that occur within the main components of these tissues resulting in detrimental mechanical property changes. It also highlights the current challenges of this field, and offers an insight into future developments. Age-related changes in the mechanical properties of soft tissues have a profound effect on human morbidity and mortality, and with changing global demographics, there is growing interest in this area. There has been increasing interest in robustly characterizing these mechanical changes to develop structure-property relationships, and growing awareness of the need for enhanced predictive models for computational simulations. This book seeks to address the challenges involved in applying these engineering techniques to reliably characterize these tissues. Focusing on a wide range of tissues and presenting cutting-edge techniques, this book provides an invaluable reference to academics and researchers in a range of disciplines including biomechanics, materials science, tissue engineering, life sciences and biomedicine.
Author: Gerhard A. Holzapfel
Publisher: Springer Science & Business Media
ISBN: 9783211004555
Category : Technology & Engineering
Languages : en
Pages : 360
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Book Description
The book is written by leading experts in the field presenting an up-to-date view of the subject matter in a didactically sound manner. It presents a review of the current knowledge of the behaviour of soft tissues in the cardiovascular system under mechanical loads, and the importance of constitutive laws in understanding the underlying mechanics is highlighted. Cells are also described together with arteries, tendons and ligaments, heart, and other biological tissues of current research interest in biomechanics. This includes experimental, continuum mechanical and computational perspectives, with the emphasis on nonlinear behaviour, and the simulation of mechanical procedures such as balloon angioplasty.
Author: T.S.L Radhika
Publisher: CRC Press
ISBN: 1466588136
Category : Mathematics
Languages : en
Pages : 584
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Book Description
Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. It covers both well-established techniques and recently developed procedures, including the classical series solution method, diverse perturbation methods, pioneering asymptotic methods, and the latest homotopy methods. The book is suitable not only for mathematicians and engineers but also for biologists, physicists, and economists. It gives a complete description of the methods without going deep into rigorous mathematical aspects. Detailed examples illustrate the application of the methods to solve real-world problems. The authors introduce the classical power series method for solving differential equations before moving on to asymptotic methods. They next show how perturbation methods are used to understand physical phenomena whose mathematical formulation involves a perturbation parameter and explain how the multiple-scale technique solves problems whose solution cannot be completely described on a single timescale. They then describe the Wentzel, Kramers, and Brillown (WKB) method that helps solve both problems that oscillate rapidly and problems that have a sudden change in the behavior of the solution function at a point in the interval. The book concludes with recent nonperturbation methods that provide solutions to a much wider class of problems and recent analytical methods based on the concept of homotopy of topology.
Author: Amirsadegh Rezazadeh Nochehdehi
Publisher: Elsevier
ISBN: 0323907210
Category : Technology & Engineering
Languages : en
Pages : 765
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Book Description
Cartilage, Tissue and Knee Joint Biomechanics: Fundamentals, Characterization and Modelling is a cutting-edge multidisciplinary book specifically focused on modeling, characterization and related clinical aspects. The book takes a comprehensive approach towards mechanics, fundamentals, morphology and properties of Cartilage Tissue and Knee Joints. Leading researchers from health science, medical technologists, engineers, academics, government, and private research institutions across the globe have contributed to this book. This book is a very valuable resource for graduates and postgraduates, engineers and research scholars. The content also includes comprehensive real-world applications. As a reference for the total knee arthroplasty, this book focuses deeply on existing related theories (including: histology, design, manufacturing and clinical aspects) to assist readers in solving fundamental and applied problems in biomechanical and biomaterials characterization, modeling and simulation of human cartilages and cells. For biomedical engineers dealing with implants and biomaterials for knee joint injuries, this book will guide you in learning the knee anatomy, range of motion, surgical procedures, physiological loading and boundary conditions, biomechanics of connective soft tissues, type of injuries, and more. - Provides a comprehensive resource on the knee joint and its connective soft tissues; content included spans biomechanics, biomaterials, biology, anatomy, imaging and surgical procedure - Covers ISO and FDA based regulatory control and compliance in the manufacturing process - Includes discussions on the relationship between knee anatomical parameters and knee biomechanics
Author: Catalin Picu
Publisher: Springer
ISBN: 3030238466
Category : Technology & Engineering
Languages : en
Pages : 200
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Book Description
The book explores the state of the art in the mechanics of fibrous media, providing an overview of the theoretical, modelling and practical aspects of designing and working with these materials. It also describes the advanced methods needed to handle their specific features, including the mechanics of generalized continua, dedicated homogenization methods and computational techniques, and presents applications of fibrous media to diverse fields and over a broad spectrum of scales, ranging from aeronautics to biomechanics.
Author: Gerhard A. Holzapfel
Publisher: Springer
ISBN: 3319414755
Category : Technology & Engineering
Languages : en
Pages : 319
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Book Description
The book presents a state-of-the-art overview of biomechanical and mechanobiological modeling and simulation of soft biological tissues. Seven well-known scientists working in that particular field discuss topics such as biomolecules, networks and cells as well as failure, multi-scale, agent-based, bio-chemo-mechanical and finite element models appropriate for computational analysis. Applications include arteries, the heart, vascular stents and valve implants as well as adipose, brain, collagenous and engineered tissues. The mechanics of the whole cell and sub-cellular components as well as the extracellular matrix structure and mechanotransduction are described. In particular, the formation and remodeling of stress fibers, cytoskeletal contractility, cell adhesion and the mechanical regulation of fibroblast migration in healing myocardial infarcts are discussed. The essential ingredients of continuum mechanics are provided. Constitutive models of fiber-reinforced materials with an emphasis on arterial walls and the myocardium are discussed and the important influence of residual stresses on material response emphasized. The mechanics and function of the heart, the brain and adipose tissues are discussed as well. Particular attention is focused on microstructural and multi-scale modeling, finite element implementation and simulation of cells and tissues.
