Modern developments in the mechanics of continua : proceedings of an international conference on rheology held at the Pinebrook Conference Center of Syracuse University, Pinebrook, New York, August 23-27, 1965

Modern Developments in the Mechanics of Continua presents the proceedings of the International Conference on Rheology, held in Pinebrook, New York, on August 23–27, 1965. This book promotes the national and international interest in mechanics of continua. Comprised of 16 chapters, this compilation of papers starts with an overview of the fundamental aspects of thermodynamics. This text then examines the divergence between the molecular theory of liquids and continuum mechanics. Other chapters explore the theory of the activation volume of liquids and the potential applications in rheology. This book discusses as well the characteristics of shear wave propagation, which are related to the viscoelastic properties of the supporting medium. The final chapter deals with the study of diffusion of benzoic acid at constant temperature into kaolinite slurries of changing concentrations. This book is a valuable resource for physicists, biophysicists, mathematicians, and engineers interested in the mechanics of continua. Content: Contributors to This Volume , Page ii Front Matter , Page iii Copyright , Page iv List of Contributors , Pages v-vi Preface , Page vii , S. ESKINAZI Thermodynamics of Deformation , Pages 1-12 , C. TRUESDELL An Alternative to the Continuum—the Aggregate as a Geometrical Basis for the Deformation Tensor and for Theories of Liquids , Pages 13-17 , F.W. SMITH Shear Wave Propagation in Birefringent Viscoelastic Liquids of Low Rigidity and Low Viscosity , Pages 19-35 , GEORGE B. THURSTON The Critical Wall Shear Stress for Reduction of Turbulent Drag in Pipe Flow , Pages 37-52 , P.S. VIRK, E.W. MERRILL, H.S. MICKLEY, K.A. SMITH Properties of a Class of Constitutive Equations Stated in a Nontrivial Implicit Form , Pages 53-63 , A.J.A. MORGAN Cosserat Continua , Pages 65-71 , W. JAUNZEMIS Stability of Couette Flow of Second-Order Fluids between Two Coaxial Circular Cylinders , Pages 73-87 , SUBHENDU K. DATTA Approximate Constitutive Equations , Pages 89-108 , A.C. PIPKIN Remarks on Compatibility , Pages 109-127 , R.L. FOSDICK A Representative Theorem for the Constitutive Equation of Simple Material in Motions with Constant Stretch History , Pages 129-137 , C.-C. WANG The Problem of a Jet against the Ground Rheological Solution in the Hodograph Plane , Pages 139-144 , R. GOETHALS, TH. ALZIARY DE ROQUEFORT Some Interpretations of the Toms Effect , Pages 145-164 , A.G. FABULA, J.L. LUMLEY, W.D. TAYLOR Acceleration Waves in Nonlinear Materials , Pages 165-174 , BERNARD D. COLEMAN, MORTON E. GURTIN The Speed of Propagation of Signals in Viscoelastic Materials , Pages 175-182 , BARBERAN F. JOSE, HERRERA R. ISMAEL On an Isothermal Flow Function for a Heterogeneous Medium , Pages 183-191 , D.R. AXELRAD, R.N. YONG Mass Transfer into Non-Newtonian Fluids , Pages 193-200 , VAUGHN C. BEHN, GERALD A. STROBEL INDEX , Pages 201-203