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Boundary Value Problems In Linear Viscoelasticity
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Book Synopsis Boundary Value Problems in Linear Viscoelasticity by : John M. Golden
Download or read book Boundary Value Problems in Linear Viscoelasticity written by John M. Golden and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theories of Linear Elasticity and Newtonian Fluids, though trium phantly elegant as mathematical structures, do not adequately describe the defor mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874).
Book Synopsis Mathematical Problems in Linear Viscoelasticity by : Mauro Fabrizio
Download or read book Mathematical Problems in Linear Viscoelasticity written by Mauro Fabrizio and published by SIAM. This book was released on 1992-01-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Viscoelasticity by : R. M. Christensen
Download or read book Theory of Viscoelasticity written by R. M. Christensen and published by Courier Corporation. This book was released on 2013-04-26 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integration of theoretical developments offers complete description of linear theory of viscoelastic behavior of materials, with theoretical formulations derived from continuum mechanics viewpoint and discussions of problem solving. 1982 edition.
Book Synopsis Boundary Value Problems in Linear Viscoelasticity by : John M. Golden
Download or read book Boundary Value Problems in Linear Viscoelasticity written by John M. Golden and published by Berlin : Springer-Verlag. This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Continuum Biomechanics by : Kyriacos Athanasiou
Download or read book Introduction to Continuum Biomechanics written by Kyriacos Athanasiou and published by Morgan & Claypool Publishers. This book was released on 2008-10-08 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the study of continuum mechanics applied to biological systems, i.e., continuum biomechanics. This vast and exciting subject allows description of when a bone may fracture due to excessive loading, how blood behaves as both a solid and fluid, down to how cells respond to mechanical forces that lead to changes in their behavior, a process known as mechanotransduction. We have written for senior undergraduate students and first year graduate students in mechanical or biomedical engineering, but individuals working at biotechnology companies that deal in biomaterials or biomechanics should also find the information presented relevant and easily accessible. Table of Contents: Tensor Calculus / Kinematics of a Continuum / Stress / Elasticity / Fluids / Blood and Circulation / Viscoelasticity / Poroelasticity and Thermoelasticity / Biphasic Theory
Book Synopsis Crack and Contact Problems for Viscoelastic Bodies by : G.A.C. Graham
Download or read book Crack and Contact Problems for Viscoelastic Bodies written by G.A.C. Graham and published by Springer. This book was released on 2014-05-04 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main emphasis of these Lecture Notes is on constructing solutions to specific viscoelastic boundary value problems; however properties of the equations of viscoelasticity that provide the theoretical underpinnings for constructing such solutions are also covered. Particular attention is paid to the solution of crack and contact problems. This work is of interest in the context of polymer fracture, modelling of material behaviour, rebound testing of polymers and the phenomenon of hysteretic friction.
Book Synopsis Fundamentals of Structural Optimization (II) by : Vladimir Kobelev
Download or read book Fundamentals of Structural Optimization (II) written by Vladimir Kobelev and published by Springer Nature. This book was released on with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory by : Frederick Bloom
Download or read book Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory written by Frederick Bloom and published by SIAM. This book was released on 1981-10-01 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in mechanics and electromagnetic theories.
Book Synopsis Nonlinear Analysis and Continuum Mechanics by : Giuseppe Butazzo
Download or read book Nonlinear Analysis and Continuum Mechanics written by Giuseppe Butazzo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg- Serrin theorem on isoated singularities, the Serrin symmetry theorem, the Alexandrov-Serrin moving-plane technique, The Peletier-Serrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations.
Book Synopsis Viscoelastic Structures by : Aleksey D. Drozdov
Download or read book Viscoelastic Structures written by Aleksey D. Drozdov and published by Academic Press. This book was released on 1998-02-09 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelastic Structures covers the four basic problems in the mechanics of viscoelastic solids and structural members: construction of constitutive models for the description of thermoviscoelastic behavior of polymers; mathematical modeling of manufacturing advanced composite materials; optimal-design of structural members and technological processes of their fabrication; and stability analysis for thin-walled structural members driven by time-varying loads.This book familiarizes the reader with state-of-the-art mathematical models for advanced materials and processes, and demonstrates their applications in modeling and simulating specific manufacturing processes. Viscoelastic Structures also demonstrates the effects of material, geometrical, and technological parameters on the characteristic features of viscoelastic structures.1Presents state-of-the-art mathematical models and methods which serve for the analysis of advanced technological processes1Includes numerous examples to demonstrate theory which have not been included in previous literature1Employs one consistent, user-friendly method to study a number of technological processes1Features unique approach to aging materials1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients
Book Synopsis Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models by : Francesco Mainardi
Download or read book Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models written by Francesco Mainardi and published by World Scientific. This book was released on 2010-05-18 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types.It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography.This book is likely to be of interest to applied scientists and engineers./a
Book Synopsis Thermodynamics And Kinetic Theory - Proceedings Of The 5th Bilateral Polish-italian Meeting by : W Kosinski
Download or read book Thermodynamics And Kinetic Theory - Proceedings Of The 5th Bilateral Polish-italian Meeting written by W Kosinski and published by World Scientific. This book was released on 1992-03-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with aspects of thermodynamic restrictions in modern continuum mechanics and with particular problems of the kinetic theory and statistical mechanics. It stresses the interplay between statistical and phenomenological modelling of physical phenomena including homogenization techniques for media with microstructure. Diverse approaches to either derivation or justification of macroscopic models by microscopic theories are presented. From the kinetic theory, the problem of existence of solutions to the Boltzmann equation and particular solutions to the discrete velocity models are also considered. The book includes papers concerning viscoelasticity treated within the framework of both rational and extended thermodynamics. Phenomenological theories of hyperbolic heat conduction in solids and fluids are also discussed.
Book Synopsis Applications of Viscoelasticity by : Pouria Hajikarimi
Download or read book Applications of Viscoelasticity written by Pouria Hajikarimi and published by Elsevier. This book was released on 2021-04-27 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Viscoelasticity: Bituminous Materials Characterization and Modeling starts with an introduction to the theory of viscoelasticity, emphasizing its importance to various applications in material characterization and modeling. It next looks at constitutive viscoelastic functions, outlines basic equations for different loading conditions, and introduces the Boltzmann superposition principle, relaxation modulus, and creep compliance. Mechanical models, including integer-order and fractional-order are studied next, featuring real experimentation data alongside the benefits and drawbacks of using each model in various real-world scenarios. The book then covers the correspondence principle, followed by time–temperature superposition, featuring a simple procedure to construct a real master curve and challenges that might be encountered. The concluding chapters cover the Hopkins and Hamming, Park and Kim, and General Power law methods for interconversion of constitutive viscoelastic functions, applications of viscoelasticity for experimental tests, and incremental form of viscoelastic relations for numerical modeling. The book also includes supplementary codes that users can duplicate and use in their own work. - Takes an applied approach to material viscoelasticity, explaining complicated viscoelastic equations and principles - Presents examples of those equations and principles being applied to common problems in realworld settings - Covers constitutive viscoelastic functions, including relaxation modulus and creep compliance - Outlines the construction of a master curve of viscoelastic material considering time–temperature superposition - Couples the correspondence principle with common viscoelastic experiments, such as threepoint bending beam, axial and torsional bar, and dynamic shear rheometer - Provides supplementary codes
Book Synopsis College of Engineering by : University of Michigan. College of Engineering
Download or read book College of Engineering written by University of Michigan. College of Engineering and published by UM Libraries. This book was released on 1970 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic And Inelastic Stress Analysis by : Irving H Shames
Download or read book Elastic And Inelastic Stress Analysis written by Irving H Shames and published by CRC Press. This book was released on 1997-02-01 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents certain key aspects of inelastic solid mechanics centered around viscoelasticity, creep, viscoplasticity, and plasticity. It is divided into three parts consisting of the fundamentals of elasticity, useful constitutive laws, and applications to simple structural members, providing extended treatment of basic problems in static structural mechanics, including elastic and inelastic effects. It contains worked-out examples and end-of-chapter problems.
Book Synopsis Understanding Viscoelasticity by : Nhan Phan-Thien
Download or read book Understanding Viscoelasticity written by Nhan Phan-Thien and published by Springer. This book was released on 2017-07-27 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to viscoelasticity, in particular, to the theories of dilute polymer solutions and dilute suspensions of rigid particles in viscous and incompressible fluids. These theories are important, not just because they apply to practical problems of industrial interest, but because they form a solid theoretical base upon which mathematical techniques can be built, from which more complex theories can be constructed, to better mimic material behaviour. The emphasis of this book is not on the voluminous current topical research, but on the necessary tools to understand viscoelasticity. This is a compact book for a first year graduate course in viscoelasticity and modelling of viscoelastic multiphase fluids. The Dissipative Particle Dynamics (DPD) is introduced as a particle-based method, relevant in modelling of complex-structured fluids. All the basic ideas in DPD are reviewed. The third edition has been updated and expanded with new results in the meso-scale modelling, links between the fluid modelling to its physical parameters and new matlab programs illustrating the modelling. Particle-based modelling techniques for complex-structure fluids are added together with some sample programs. A solution manual to the problems is included.
