Mathematical Problems in Linear Viscoelasticity
Mathematical Problems in Linear Viscoelasticity

Author: Mauro Fabrizio

Publisher: SIAM

Published: 1992-01-01

Total Pages: 210

ISBN-13: 0898712661

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Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.

Viscoelastic Modeling for Structural Analysis
Viscoelastic Modeling for Structural Analysis

Author: Jean Salençon

Publisher: John Wiley & Sons

Published: 2019-04-29

Total Pages: 139

ISBN-13: 1119618355

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The theory of viscoelasticity has been built up as a mechanical framework for modeling important aspects of the delayed behavior of a wide range of materials. This book, primarily intended for civil and mechanical engineering students, is devoted specifically to linear viscoelastic behavior within the small perturbation framework. The fundamental concepts of viscoelastic behavior are first presented from the phenomenological viewpoint of the basic creep and relaxation tests within the simple one-dimensional framework. The linearity and non-ageing hypotheses are introduced successively, with the corresponding expressions of the constitutive law in the form of Boltzmann’s integral operators and Riemann’s convolution products respectively. Applications to simple quasi-static processes underline the dramatic and potentially catastrophic consequences of not taking viscoelastic delayed behavior properly into account at the design stage. Within the three-dimensional continuum framework, the linear viscoelastic constitutive equation is written using compact mathematical notations and takes material symmetries into account. The general analysis of quasi-static linear viscoelastic processes enhances similarities with, and differences from, their elastic counterparts. Simple typical case studies illustrate the importance of an in-depth physical understanding of the problem at hand prior to its mathematical analysis.

Bone Repair Biomaterials
Bone Repair Biomaterials

Author: Kendell Pawelec

Publisher: Woodhead Publishing

Published: 2018-11-29

Total Pages: 506

ISBN-13: 0081024525

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Bone Repair Biomaterials: Regeneration and Clinical Applications, Second Edition, provides comprehensive reviews on materials science, engineering principles and recent advances. Sections review the fundamentals of bone repair and regeneration, discuss the science and properties of biomaterials used for bone repair, including metals, ceramics, polymers and composites, and discuss clinical applications and considerations, with chapters on such topics as orthopedic surgery, tissue engineering, implant retrieval, and ethics of bone repair biomaterials. This second edition includes more chapters on relevant biomaterials and a greatly expanded section on clinical applications, including bone repair applications in dental surgery, spinal surgery, and maxilo-facial and skull surgery. In addition, the book features coverage of long-term performance and failure of orthopedic devices. It will be an invaluable resource for researchers, scientists and clinicians concerned with the repair and restoration of bone. - Provides a comprehensive review of the materials science, engineering principles and recent advances in this important area - Presents new chapters on Surface coating of titanium, using bone repair materials in dental, spinal and maxilo-facial and skull surgery, and advanced manufacturing/3D printing - Reviews the fundamentals of bone repair and regeneration, addressing social, economic and clinical challenges - Examines the properties of biomaterials used for bone repair, with specific chapters assessing metals, ceramics, polymers and composites

The Phenomenological Theory of Linear Viscoelastic Behavior
The Phenomenological Theory of Linear Viscoelastic Behavior

Author: Nicholas W. Tschoegl

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 791

ISBN-13: 3642736025

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One of the principal objects of theoretical research in any department of knowledge is to find the point of view from which the subject appears in its greatest simplicity. J. Willard Gibbs This book is an outgrowth of lectures I have given, on and off over some sixteen years, in graduate courses at the California Institute of Technology, and, in abbreviated form, elsewhere. It is, nevertheless, not meant to be a textbook. I have aimed at a full exposition of the phenomenological theory of linear viscoelastic behavior for the use of the practicing scientist or engineer as well as the academic teacher or student. The book is thus primarily a reference work. In accord with the motto above, I have chosen to describe the theory of linear viscoelastic behavior through the use of the Laplace transformation. The treatment oflinear time-dependent systems in terms of the Laplace transforms of the relations between the excitation add response variables has by now become commonplace in other fields. With some notable exceptions, it has not been widely used in viscoelasticity. I hope that the reader will find this approach useful.

The Head-neck Sensory Motor System
The Head-neck Sensory Motor System

Author: A. Berthoz

Publisher:

Published: 1992

Total Pages: 798

ISBN-13: 9780195068207

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This is the most comprehensive and up-to-date account of the control of vertebrate head movements and its biomechanical and neural basis. It covers the entire spectrum of research on head-neck movements, ranging from the global description and analysis of a particular behavior to its underlying mechanisms at the level of neurotransmitter release and membrane biophysics.