Numerical Analysis Of Viscoelastic Problems

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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.

Numerical Analysis of Viscoelastic Problems

Author : Patrick Le Tallec
Publisher : Springer
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Analysis of Viscoelastic Problems by : Patrick Le Tallec

Download or read book Numerical Analysis of Viscoelastic Problems written by Patrick Le Tallec and published by Springer. This book was released on 1990 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis and Simulations of Some Problems with Damage in Solid Mechanics.

Author : Marco Antonio Campo Cabana
Publisher : Univ Santiago de Compostela
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4./5 ( download)

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Book Synopsis Numerical Analysis and Simulations of Some Problems with Damage in Solid Mechanics. by : Marco Antonio Campo Cabana

Download or read book Numerical Analysis and Simulations of Some Problems with Damage in Solid Mechanics. written by Marco Antonio Campo Cabana and published by Univ Santiago de Compostela. This book was released on 2008 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity

Author : Weimin Han
Publisher : American Mathematical Soc.
ISBN 13 : 0821831925
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity by : Weimin Han

Download or read book Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity written by Weimin Han and published by American Mathematical Soc.. This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Índice: Function spaces and their properties; Introduction to finite difference and finite element approximations; Variational inequalities; Constitutive relations in solid mechanics; Background on variational and numerical analysis in contact mechanics; Contact problems in elasticity; Bilateral contact with slip dependent friction; Frictional contact with normal compliance; Frictional contact with normal damped response; Other viscoelastic contact problems; Frictionless contact with dissipative potential; Frictionless contact between two viscoplastic bodies; Bilateral contact with Tresca's friction law; Other viscoelastic contact problems; Bibliography; Index.

Numerical Methods for Non-Newtonian Fluids

Author : Philippe G. Ciarlet
Publisher : Elsevier
ISBN 13 : 0444530479
Total Pages : 827 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Numerical Methods for Non-Newtonian Fluids by : Philippe G. Ciarlet

Download or read book Numerical Methods for Non-Newtonian Fluids written by Philippe G. Ciarlet and published by Elsevier. This book was released on 1990 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.

Numerical Methods for Non-Newtonian Fluids

Author :
Publisher : Elsevier
ISBN 13 : 0080932029
Total Pages : 826 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Numerical Methods for Non-Newtonian Fluids by :

Download or read book Numerical Methods for Non-Newtonian Fluids written by and published by Elsevier. This book was released on 2010-12-20 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume's articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics. - New review of well-known computational methods for the simulation viscoelastic and viscoplastic types - Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods - Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids

Fractional Calculus and Waves in Linear Viscoelasticity

Author : Francesco Mainardi
Publisher : World Scientific
ISBN 13 : 1848163304
Total Pages : 368 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Fractional Calculus and Waves in Linear Viscoelasticity by : Francesco Mainardi

Download or read book Fractional Calculus and Waves in Linear Viscoelasticity written by Francesco Mainardi and published by World Scientific. This book was released on 2010 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.

Analysis and Approximation of Contact Problems with Adhesion or Damage

Author : Mircea Sofonea
Publisher : CRC Press
ISBN 13 : 1420034839
Total Pages : 220 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Analysis and Approximation of Contact Problems with Adhesion or Damage by : Mircea Sofonea

Download or read book Analysis and Approximation of Contact Problems with Adhesion or Damage written by Mircea Sofonea and published by CRC Press. This book was released on 2005-09-26 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact P

Topics on Mathematics for Smart Systems

Author : Bernadette Miara
Publisher : World Scientific
ISBN 13 : 9812703926
Total Pages : 283 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Topics on Mathematics for Smart Systems by : Bernadette Miara

Download or read book Topics on Mathematics for Smart Systems written by Bernadette Miara and published by World Scientific. This book was released on 2007 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers articles presented at a prominent European conference on smart systems and summarizes the activities carried out by a research and training network supported by the European community. The contributions aim to exhibit new research topics in the areas of materials science, advanced mathematical tools, and elements of control and numerical algorithms relevant to the design and optimization of smart systems.

Viscoelastic Solids (1998)

Author : Roderic S. Lakes
Publisher : CRC Press
ISBN 13 : 1351355643
Total Pages : 476 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 476 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.

Creep and Relaxation of Nonlinear Viscoelastic Materials

Author : William N. Findley
Publisher : Courier Corporation
ISBN 13 : 0486145174
Total Pages : 402 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Creep and Relaxation of Nonlinear Viscoelastic Materials by : William N. Findley

Download or read book Creep and Relaxation of Nonlinear Viscoelastic Materials written by William N. Findley and published by Courier Corporation. This book was released on 2013-01-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here. Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book.

Numerical Models in Geomechanics

Author : G.N. Pande
Publisher : CRC Press
ISBN 13 : 9789058096364
Total Pages : 760 pages
Book Rating : 4.0/5 (963 download)

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Book Synopsis Numerical Models in Geomechanics by : G.N. Pande

Download or read book Numerical Models in Geomechanics written by G.N. Pande and published by CRC Press. This book was released on 2004-08-15 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflecting the current research and advances made in the application of numerical methods in geotechnical engineering, this volume details proceedings of the Ninth International Symposium on 'Numerical Models in Geomechanics - NUMOG IX' held in Ottawa, Canada, 25-27 August 2004. Highlighting a number of new developments in the area, papers concentrate upon the following four main areas: * constitutive relations for geomaterials * numerical algorithms: formulation and performance * modelling of transient, coupled and dynamic problems * application of numerical techniques to practical problems. Representing the most advanced, modern findings in the field, Numerical Models in Geomechanics is a comprehensive and impeccably-researched text, ideal for students and researchers as well as practising engineers.

Numerical Mathematics and Advanced Applications

Author : F. Brezzi
Publisher : Springer Science & Business Media
ISBN 13 : 8847020891
Total Pages : 981 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Numerical Mathematics and Advanced Applications by : F. Brezzi

Download or read book Numerical Mathematics and Advanced Applications written by F. Brezzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable instrument for gaining a wide-ranging perspective on the latest developments in mathematical aspects of scientific computing, discovering new applications and the most recent developments in long-standing applications. Provides an insight into the state of the art of Numerical Mathematics and, more generally, into the field of Advanced Applications.

Flow and Creep in the Solar System: Observations, Modeling and Theory

Author : David B. Stone
Publisher : Springer
ISBN 13 : 9780792321484
Total Pages : 506 pages
Book Rating : 4.3/5 (214 download)

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Book Synopsis Flow and Creep in the Solar System: Observations, Modeling and Theory by : David B. Stone

Download or read book Flow and Creep in the Solar System: Observations, Modeling and Theory written by David B. Stone and published by Springer. This book was released on 1993-02-28 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO ASI held in the Geophysical Institute, University of Alaska Fairbanks, June 17-28, 1991 was, we believe, the first attempt to bring together geoscientists from all the disciplines related to the solar system where fluid flow is a fundamental phenomenon. The various aspects of flow discussed at the meeting ranged from the flow of ice in glaciers, through motion of the solar wind, to the effects of flow in the Earth's mantle as seen in surface phenomena. A major connecting theme is the role played by convection. For a previous attempt to review the various ways in which convection plays an important role in natural phenomena one must go back to an early comprehensive study by 1. Wasiutynski in "Astro physica Norvegica" vo1. 4, 1946. This work, little known now perhaps, was a pioneering study. In understanding the evolution of bodies of the solar system, from accretion to present-day processes, ranging from interplanetary plasma to fluid cores, the understanding of flow hydrodynamics is essentia1. From the large scale in planetary atmospheres to geological processes, such as those seen in magma chambers on the Earth, one is dealing with thermal or chemical convection. Count Rumford, the founder of the Royal Institution, studied thermal convection experimentally and realized its practical importance in domestic contexts.

Mathematical Analysis and Numerical Methods for Science and Technology

Author : Robert Dautray
Publisher : Springer Science & Business Media
ISBN 13 : 3642615317
Total Pages : 503 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Mathematical Analysis and Numerical Methods for Science and Technology by : Robert Dautray

Download or read book Mathematical Analysis and Numerical Methods for Science and Technology written by Robert Dautray and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

Viscoelasticity of Polymers

Author : Kwang Soo Cho
Publisher : Springer
ISBN 13 : 9401775648
Total Pages : 615 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Viscoelasticity of Polymers by : Kwang Soo Cho

Download or read book Viscoelasticity of Polymers written by Kwang Soo Cho and published by Springer. This book was released on 2016-05-30 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to polymer rheology with a focus on the viscoelastic characterization of polymeric materials. It contains various numerical algorithms for the processing of viscoelastic data, from basic principles to advanced examples which are hard to find in the existing literature. The book takes a multidisciplinary approach to the study of the viscoelasticity of polymers, and is self-contained, including the essential mathematics, continuum mechanics, polymer science and statistical mechanics needed to understand the theories of polymer viscoelasticity. It covers recent achievements in polymer rheology, such as theoretical and experimental aspects of large amplitude oscillatory shear (LAOS), and numerical methods for linear viscoelasticity, as well as new insights into the interpretation of experimental data. Although the book is balanced between the theoretical and experimental aspects of polymer rheology, the author’s particular interest in the theoretical side will not remain hidden. Aimed at readers familiar with the mathematics and physics of engineering at an undergraduate level, the multidisciplinary approach employed enables researchers with various scientific backgrounds to expand their knowledge of polymer rheology in a systematic way.

Finite Difference Methods,Theory and Applications

Author : Ivan Dimov
Publisher : Springer
ISBN 13 : 3319202391
Total Pages : 443 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Finite Difference Methods,Theory and Applications by : Ivan Dimov

Download or read book Finite Difference Methods,Theory and Applications written by Ivan Dimov and published by Springer. This book was released on 2015-06-16 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014. The 36 revised full papers were carefully reviewed and selected from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.