Lectures on Viscoelasticity Theory

A.C. Pipkin (Autor)

Buch | Softcover

188 Seiten

1986 | 2nd ed. 1986
Springer-Verlag New York Inc.
978-0-387-96345-7 (ISBN)

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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 needs to do some work on the side to fill in details that are omitted from the text. These are notes, not a completely detailed explanation. Furthermore, much of the content of the course is in the problems assigned for solution by the student. The reader who does not at least try to solve a good many of the problems is likely to miss most of the point. Much that is known about viscoelasticity is not discussed in these notes, and references to original sources are usually not give, so it will be difficult or impossible to use this book as a reference for looking things up. Readers wanting something more like a treatise should see Ferry's Viscoelastic Properties of Polymers, Lodge's Elastic Liquids, the volumes edited by Eirich on Rheology, or any issue of the Transactions of the Society of Rheology. These works emphasize physical aspects of the subject. On the mathematical side, Gurtin and Sternberg's long paper On the Linear Theory of Viscoelasticity (ARMA II, 291 (I962» remains the best reference for proofs of theorems.

I. Viscoelastic Response in Shear.- II. Fourier and Laplace Transforms.- III. Relations Between Modulus and Compliance.- IV. Some One-Dimensional Dynamical Problems.- V. Stress Analysis.- VI. Thermal Effects.- VII. Large Deformations with Small Strains.- VIII. Slow Viscoelastic Flow.- IX. Viscometric Flow.- Solutions.

Reihe/Serie	Applied Mathematical Sciences ; 7
Zusatzinfo	VIII, 188 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Chemie ► Physikalische Chemie
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
ISBN-10	0-387-96345-6 / 0387963456
ISBN-13	978-0-387-96345-7 / 9780387963457
Zustand	Neuware