Boundary Value Problems In Linear Viscoelasticity

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Boundary Value Problems in Linear Viscoelasticity

Author : John M. Golden
Publisher : Springer Science & Business Media
ISBN 13 : 3662061562
Total Pages : 276 pages
Book Rating : 4.6/5 (62 download)

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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).

Mathematical Problems in Linear Viscoelasticity

Author : Mauro Fabrizio
Publisher : SIAM
ISBN 13 : 0898712661
Total Pages : 210 pages
Book Rating : 4.8/5 (987 download)

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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.

Mathematical Problems in Linear Viscoelasticity

Author : Mauro Fabrizio
Publisher : SIAM
ISBN 13 : 9781611970807
Total Pages : 212 pages
Book Rating : 4.9/5 (78 download)

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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 212 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.

Boundary Value Problems of Mathematical Physics

Author : Olʹga A. Ladyženskaja
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831410
Total Pages : 254 pages
Book Rating : 4.8/5 (314 download)

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Book Synopsis Boundary Value Problems of Mathematical Physics by : Olʹga A. Ladyženskaja

Download or read book Boundary Value Problems of Mathematical Physics written by Olʹga A. Ladyženskaja and published by American Mathematical Soc.. This book was released on 1991 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanical Behaviour of Engineering Materials

Author : Y.M. Haddad
Publisher : Springer
ISBN 13 : 9401004366
Total Pages : 501 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Mechanical Behaviour of Engineering Materials by : Y.M. Haddad

Download or read book Mechanical Behaviour of Engineering Materials written by Y.M. Haddad and published by Springer. This book was released on 2012-11-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph consists of two volumes and provides a unified, comprehensive presentation of the important topics pertaining to the understanding and determination of the mechanical behaviour of engineering materials under different regimes of loading. The large subject area is separated into eighteen chapters and four appendices, all self-contained, which give a complete picture and allow a thorough understanding of the current status and future direction of individual topics. Volume I contains eight chapters and three appendices, and concerns itself with the basic concepts pertaining to the entire monograph, together with the response behaviour of engineering materials under static and quasi-static loading. Thus, Volume I is dedicated to the introduction, the basic concepts and principles of the mechanical response of engineering materials, together with the relevant analysis of elastic, elastic-plastic, and viscoelastic behaviour. Volume II consists of ten chapters and one appendix, and concerns itself with the mechanical behaviour of various classes of materials under dynamic loading, together with the effects of local and microstructural phenomena on the response behaviour of the material. Volume II also contains selected topics concerning intelligent material systems, and pattern recognition and classification methodology for the characterization of material response states. The monograph contains a large number of illustrations, numerical examples and solved problems. The majority of chapters also contain a large number of review problems to challenge the reader. The monograph can be used as a textbook in science and engineering, for third and fourth undergraduate levels, as well as for the graduate levels. It is also a definitive reference work for scientists and engineers involved in the production, processing and applications of engineering materials, as well as for other professionals who are involved in the engineering design process.

Theory of Viscoelasticity

Author : R. M. Christensen
Publisher : Courier Corporation
ISBN 13 : 0486318966
Total Pages : 386 pages
Book Rating : 4.4/5 (863 download)

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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.

Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory

Author : Frederick Bloom
Publisher : SIAM
ISBN 13 : 0898711711
Total Pages : 229 pages
Book Rating : 4.8/5 (987 download)

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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.

Crack and Contact Problems for Viscoelastic Bodies

Author : G.A.C. Graham
Publisher : Springer
ISBN 13 : 3709126940
Total Pages : 317 pages
Book Rating : 4.7/5 (91 download)

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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.

Boundary Value Problems in Linear Viscoelasticity

Author : John M. Golden
Publisher : Berlin : Springer-Verlag
ISBN 13 : 9780387186153
Total Pages : 0 pages
Book Rating : 4.1/5 (861 download)

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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 Berlin : Springer-Verlag. This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models (Second Edition)

Author : Francesco Mainardi
Publisher : World Scientific
ISBN 13 : 1783264004
Total Pages : 626 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models (Second Edition) by : Francesco Mainardi

Download or read book Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models (Second Edition) written by Francesco Mainardi and published by World Scientific. This book was released on 2022-08-16 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves 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. In particular the relevant role played by some special functions is pointed out along with their visualization through plots. Graphics are extensively used in the book and a large general bibliography is included at the end.This new edition keeps the structure of the first edition but each chapter has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions that are known to play a fundamental role in linear viscoelasticity.This book is suitable for engineers, graduate students and researchers interested in fractional calculus and continuum mechanics.

Introduction to Continuum Biomechanics

Author : Kyriacos Athanasiou
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598296183
Total Pages : 220 pages
Book Rating : 4.5/5 (982 download)

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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

Fundamentals of Structural Optimization (II)

Author : Vladimir Kobelev
Publisher : Springer Nature
ISBN 13 : 3031591402
Total Pages : 351 pages
Book Rating : 4.0/5 (315 download)

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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:

Engineering Viscoelasticity

Author : Danton Gutierrez-Lemini
Publisher : Springer Science & Business Media
ISBN 13 : 1461481392
Total Pages : 379 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Engineering Viscoelasticity by : Danton Gutierrez-Lemini

Download or read book Engineering Viscoelasticity written by Danton Gutierrez-Lemini and published by Springer Science & Business Media. This book was released on 2013-09-12 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering Viscoelasticity covers all aspects of the thermo- mechanical response of viscoelastic substances that a practitioner in the field of viscoelasticity would need to design experiments, interpret test data, develop stress-strain models, perform stress analyses, design structural components, and carry out research work. The material in each chapter is developed from the elementary to the esoteric, providing the background in mathematics and mechanics that are central to understanding the subject matter being presented. This book also examines how viscoelastic materials respond to the application of loads, and provides practical guidelines to use them in the design of commercial, military and industrial applications.

Modeling and Design of Flexible Pavements and Materials

Author : Dallas N. Little
Publisher : Springer
ISBN 13 : 331958443X
Total Pages : 702 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Modeling and Design of Flexible Pavements and Materials by : Dallas N. Little

Download or read book Modeling and Design of Flexible Pavements and Materials written by Dallas N. Little and published by Springer. This book was released on 2017-09-25 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook lays out the state of the art for modeling of asphalt concrete as the major structural component of flexible pavements. The text adopts a pedagogy in which a scientific approach, based on materials science and continuum mechanics, predicts the performance of any configuration of flexible roadways subjected to cyclic loadings. The authors incorporate state-of the-art computational mechanics to predict the evolution of material properties, stresses and strains, and roadway deterioration. Designed specifically for both students and practitioners, the book presents fundamentally complex concepts in a clear and concise way that aids the roadway design community to assimilate the tools for designing sustainable roadways using both traditional and innovative technologies.

Polymer Engineering Science and Viscoelasticity

Author : Hal F. Brinson
Publisher : Springer
ISBN 13 : 1489974857
Total Pages : 488 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Polymer Engineering Science and Viscoelasticity by : Hal F. Brinson

Download or read book Polymer Engineering Science and Viscoelasticity written by Hal F. Brinson and published by Springer. This book was released on 2015-01-24 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified mechanics and materials perspective on polymers: both the mathematics of viscoelasticity theory as well as the physical mechanisms behind polymer deformation processes. Introductory material on fundamental mechanics is included to provide a continuous baseline for readers from all disciplines. Introductory material on the chemical and molecular basis of polymers is also included, which is essential to the understanding of the thermomechanical response. This self-contained text covers the viscoelastic characterization of polymers including constitutive modeling, experimental methods, thermal response, and stress and failure analysis. Example problems are provided within the text as well as at the end of each chapter. New to this edition: · One new chapter on the use of nano-material inclusions for structural polymer applications and applications such as fiber-reinforced polymers and adhesively bonded structures · Brings up-to-date polymer production and sales data and equipment and procedures for evaluating polymer characterization and classification · The work serves as a comprehensive reference for advanced seniors seeking graduate level courses, first and second year graduate students, and practicing engineers

Continuum Mechanics of Solids

Author : Lallit Anand
Publisher : Oxford Graduate Texts
ISBN 13 : 0198864728
Total Pages : 722 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Continuum Mechanics of Solids by : Lallit Anand

Download or read book Continuum Mechanics of Solids written by Lallit Anand and published by Oxford Graduate Texts. This book was released on 2020 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory graduate text is a unified treatment of the major concepts of Solid Mechanics for beginning graduate students in the many branches of engineering. Major topics are elasticity, viscoelasticity, plasticity, fracture, and fatigue. The book also has chapters on thermoelasticity, chemoelasticity, poroelasticity and piezoelectricity.

Viscoelastic Solids (1998)

Author : Roderic S. Lakes
Publisher : CRC Press
ISBN 13 : 1351355651
Total Pages : 490 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Viscoelastic Solids (1998) by : Roderic S. Lakes

Download or read book Viscoelastic Solids (1998) written by Roderic S. Lakes and published by CRC Press. This book was released on 2017-11-22 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelastic Solids covers the mathematical theory of viscoelasticity and physical insights, causal mechanisms, and practical applications. The book: presents a development of the theory, addressing both transient and dynamic aspects as well as emphasizing linear viscoelasticity synthesizes the structure of the theory with the aim of developing physical insight illustrates the methods for the solution of stress analysis problems in viscoelastic objects explores experimental methods for the characterization of viscoelastic materials describes the phenomenology of viscoelasticity in a variety of materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materials analyzes high damping and extremely low damping provides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical properties contains examples on the use of viscoelastic materials in preventing and alleviating human suffering Viscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music.