Viscoelasticity and Rheology : Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 16–18, 1984

Viscoelasticity and Rheology covers the proceedings of a symposium by the same title, conducted by the Mathematics Research Center held at the University of Wisconsin-Madison on October 16-18, 1984. The contributions to the symposium are divided into four broad categories, namely, experimental results, constitutive theories, mathematical analysis, and computation. This 16-chapter work begins with experimental topics, including the motion of bubbles in viscoelastic fluids, wave propagation in viscoelastic solids, flows through contractions, and cold-drawing of polymers. The next chapters covering constitutive theories explore the molecular theories for polymer solutions and melts based on statistical mechanics, the use and limitations of approximate constitutive theories, a comparison of constitutive laws based on various molecular theories, network theories and some of their advantages in relation to experiments, and models for viscoplasticity. These topics are followed by discussions of the existence, regularity, and development of singularities, change of type, interface problems in viscoelasticity, existence for initial value problems and steady flows, and propagation and development of singularities. The remaining chapters deal with the numerical simulation of flow between eccentric cylinders, flow around spheres and bubbles, the hole pressure problem, and a review of computational problems related to various constitutive laws. This book will prove useful to chemical engineers, researchers, and students. Content: Inside Front Cover, Page ifc1 Front Matter, Page iii Copyright, Page iv Contributors, Pages vii-viii, Robert C. Armstrong, A.N. Beris, R. Byron Bird, R.A. Brown, Bernar. D. Coleman, J.M. Crissman, Constantin Dafermos, Hanswalte Giesekus, Ole Hassager, Danie. D. Joseph, J.V. Lawler, Arthur S. Lodge, R.C. MacCamy, David S. Malkus, S.J. Muller, Michael Renardy, Roger I. Tanner, E.K. Walsh, K. Walters, W.O. Williams, L.J. Zapas, et al. Preface, Pages ix-x, Arthur S. Lodge, Michael Renardy, John A. Nohel THE MOTION OF VISCOELASTIC FLUIDS AROUND SPHERES AND BUBBLES, Pages 1-11, Ole Hassager WAVE PROPAGATION IN VISCOELASTIC SOLIDS, Pages 13-46, E.K. Walsh OVERVIEW OF MACROSCOPIC VISCOELASTIC FLOW, Pages 47-79, K. Walters NECKING PHENOMENA AND COLD DRAWING, Pages 81-104, L.J. Zapas, J.M. Crissman POLYMERIC LIQUIDS: FROM MOLECULAR MODELS TO CONSTITUTIVE EQUATIONS, Pages 105-123, R. Byron Bird ON SLOW-FLOW APPROXIMATIONS TO FLUIDS WITH FADING MEMORY, Pages 125-156, Bernard D. Coleman A COMPARISON OF MOLECULAR AND NETWORK-CONSTITUTIVE THEORIES FOR POLYMER FLUIDS, Pages 157-180, Hanswalter Giesekus ON USING RUBBER AS A GUIDE FOR UNDERSTANDING POLYMERIC LIQUID BEHAVIOR, Pages 181-208, Arthur S. Lodge ON VISCOPLASTIC MODELS, Pages 209-220, W.O. Williams DISSIPATION IN MATERIALS WITH MEMORY, Pages 221-234, Constantine Dafermos HYPERBOLIC PHENOMENA IN THE FLOW OF VISCOELASTIC FLUIDS, Pages 235-321, Daniel D. Joseph ABSORBING BOUNDARIES FOR VISCOELASTICITY, Pages 323-344, R.C. MacCamy RECENT DEVELOPMENTS AND OPEN PROBLEMS IN THE MATHEMATICAL THEORY OF VISCOELASTICITY, Pages 345-360, Michael Renardy EVALUATION OF CONSTITUTIVE EQUATIONS: MATERIAL FUNCTIONS AND COMPLEX FLOWS OF VISCOELASTIC FLUIDS, Pages 361-389, Robert C. Armstrong, R.A. Brown, A.N. Beris, J.V. Lawler, S.J. Muller FINITE ELEMENT METHODS FOR VISCOELASTIC FLOW, Pages 391-419, David S. Malkus CONSTITUTIVE EQUATIONS FOR THE COMPUTING PERSON, Pages 421-439, Roger I. Tanner Index, Pages 441-445