4 edition of **Mathematical problems in viscoelasticity** found in the catalog.

Mathematical problems in viscoelasticity

Michael Renardy

- 205 Want to read
- 14 Currently reading

Published
**1987**
by Longman Scientific and Technical in Harlow
.

Written in English

- Viscoelasticity.,
- Deformations (Mechanics)

**Edition Notes**

Bibliography, 2 p256-267. - Includes index.

Statement | Michael Renardy, William J. Hrusa & John A. Nohel. |

Series | Pitman monographs and surveys in pure and applied mathematics -- 35 |

Contributions | Hrusa, William J., Nohel, John A. |

Classifications | |
---|---|

LC Classifications | TA418.2 |

The Physical Object | |

Pagination | 273p. : |

Number of Pages | 273 |

ID Numbers | |

Open Library | OL21543151M |

ISBN 10 | 0582003202 |

This book contains notes for a one-semester course on viscoelasticity given in the Division of Applied Mathematics at Brown University. The course serves as an introduction to viscoelasticity and as a workout in the use of various standard mathematical methods. The reader will soon find that he. 10 Viscoelasticity The Linear Elastic Solid has been the main material model analysed in this book thus far. It has a long history and is still the most widely used model in applications today. Viscoelasticity is the study of materials which have a time-dependence. Vicat, a FrenchFile Size: KB.

Viscoelasticity (or rheology) is a highly mathematical subject, interfacing several disciplines, from applied mathematics to mechanics and engineering. Other books on rheology are usually comprehensive to such a degree that students find it hard to isolate the important physical principles and develop good analytical skills for solving useful. Basic Elasticity and viscoelasticity In the physically stressful environment there are three ways in which a material can respond to external forces. It can add the load directly onto the forces that hold the constituent atoms or molecules together, as occurs in simple crystalline (includ-File Size: KB.

Mathematical Relations in Linear Viscoelasticity The rheological behavior of cheese is viscoelastic. A viscoelastic material exhibits both elastic solid and viscous liquid behavior simultaneously under a wide range of conditions. Viscoelasticity main Demonstrations Nonlinearity Class Viscoelasticity Books '98, '09 Biomechanics Ultrasonics The mathematical formulation of viscoelasticity theory is presented in the following chapters with the aim of enabling prediction of the material response to arbitrary load histories.

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Mathematical Problems in Viscoelasticity (Pitman Monographs & Surveys in Pure & Applied Mathematics.) by M.

Renardy (Author), W. Hrusa (Author), John A. Nohel (Author) & ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a Cited by: Buy Mathematical Problems in Linear Viscoelasticity (Studies in Applied and Numerical Mathematics) on FREE SHIPPING on qualified orders Mathematical Problems in Linear Viscoelasticity (Studies in Applied and Numerical Mathematics): Mauro Fabrizio, Angelo Morro: : BooksCited by: Additional Physical Format: Online version: Renardy, Michael.

Mathematical problems in viscoelasticity. Burnt Mill, Harlow, Essex, England: Longman Scientific. Special features: 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. 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. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

The mathematical theory of contact problems, that can predict re- liably the evolution of the contact process in di erent situations and under various conditions, is emerging currently.

Han and M. Sofonea, Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity, American Mathematical Society and International Press, published on Novem AMS/IP Studies in Advanced Mathematics, Volume ISBN Review of the book from Math Review.

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 viscoelasticitysynthesizes the structure of the theory with the aim of developing physical insightillustrates the methods for the.

ond order elastic theory to similar problems involving visco-elastic materials. In order to do this, it is necessary to redevelop the techniques employed in the solution of linear problems. After formulating an approximate method of solution of the viscoelastic problem, several examples are studied inAuthor: Albert William Zechmann.

Also, the uniform stability, for some problems in linear viscoelasticity, has been established in a book by Fabrizio and Morro [15] in After this, a very important contribution by Rivera was by: Mathematical Problems in Engineering is a broad-based journal publishes results of rigorous engineering research across all disciplines, carried out using mathematical tools.

Vol. 12 Mathematical Problems in Linear Viscoelasticity Mauro Fabrizio and Angelo Morro Vol. 13 Interior-Point Polynomial Algorithms in Convex Programming Yurii Nesterov and Arkadii Nemirovskii Vol.

14 The Boundary Function Method for Singular Perturbation Problems Adelaida B. Vasil’eva, Valentin F. Butuzov, and Leonid V. Kalachev. Mathematical Analysis of Viscoelastic Flows presents an overview of mathematical problems, methods, and results relating to research on viscoelastic flows.

This monograph is based on a series of lectures presented at the NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact.

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity About this Title. Weimin Han, University of Iowa, Iowa City, IA and Mircea Sofonea, Université de Perpignan, Perpignan, France.

Publication: AMS/IP Studies in Advanced MathematicsCited by: Quasistatic contact problems in viscoelasticity and viscoplasticity / Weimin Han and Mircea Sofonea. — (AMS/IP studies in advanced mathematics; v. 30) Includes bibliographical references and index.

ISBN (alk. paper) 1. Viscoelasticity. Viscoplasticity. Contact mechanics—Mathematical models. Sofonea, Mircea. II File Size: 8MB. This book is a continuation of Mathematical Olympiads Olym-piad Problems from Around the World, published by the American Math-ematics Competitions. It contains solutions to the problems from 34 na-tional and regional contests featured in the earlier book, together withFile Size: 2MB.

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 viscoelasticityCited by: 3. 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 Book Edition: 1.

The vorticity of all fluids with instantaneous elasticity can change type in motions which perturb rigid ones. Experiments and analysis exhibiting vorticity of changing type are exhibited. The linearized viscoelastic problem is governed by equations having the properties of a telegraph equation.

The damping is small when the fluid is very elastic.Viscoelasticity (or rheology) is a highly mathematical subject, interfacing several disciplines, from applied mathematics to mechanics and engineering. Other books on rheology are usually comprehensive to such a degree that students find it hard to isolate the important physical principles and develop good analytical skills for solving useful Brand: Springer-Verlag Berlin Heidelberg.Book Outline CRC Press, Book review.

Viscoelastic Materials book 1 Introduction: Phenomena Viscoelastic phenomena Transient properties: creep and relaxation Solids and liquids; anelastic materials Dynamic response to sinusoidal load Demonstration of viscoelastic behavior Other works on viscoelasticity