IUTAM Symposium on Non-Linear Singularities in Deformation and Flow, Softcover reprint of the original 1st ed. 1999 Proceedings of the IUTAM Symposium held in Haifa, Israel, 17–21 March 1997

The IUTAM Symposium on "Non-Linear Singularities in Defonnation and Flow" took place from March 17 to 21, 1997, at the Technion in Haifa, Israel, with 70 participants from 12 countries. The leitmotif of this Symposium brought together scientists working on singularity-dominated local fields in various branches of continuum mechanics, covering traditional solid and liquid behaviour as well as that of more complex non-linear materials; non-linearities arise either from the constitutive equations for the material or from the presence of interfaces or both. The scientific committee invited speakers who presented 34 papers in 12 sessions. Topics covered in the lectures included near tip fields of cracks, notches and wedges; flow around comers, wedges and cones; interfacial phenomena; moving contact lines in multiphase systems; cusps in fluid interfaces and shocks and localization. There was a general consensus among the participants that singularities induced by non-linearities provide a challenging and currently important area of research in mechanics, engineering and applied mathematics. Presentation and discussions during the symposium initiated further studies of problems in these interesting areas. This volume contains 30 full length papers, submitted by the lecturers after the symposium and reviewed to the standards of international scientific periodicals. It is our pleasure to acknowledge the efficient and tireless help of Mrs. Alice Goodman and Mr. Gideon Wachsman of the Faculty of Aerospace Engineering at the Technion. David Durban Anthony Pearson Haifa Cambridge April 1998 IX International Scientific Committee C. Atkinson (UK) G. I. Barenblatt (USA) H. -c.

Length Scales, Asymptotics and Non-Linear Singularities.- Corner Flows.- High Weissenberg Number Asymptotics and Corner Singularities in Viscoelastic Flows.- Corner Singularities in Three-Dimensional Stokes Flow.- Hydraulic Fracturing.- Fluid and Solid Singularities at the Tip of a Fluid-Driven Fracture.- Inverse Problems in Hydraulic Fracturing.- Fracture Mechanics I.- The Bimaterial Notch Problem.- Crack Development in Spatially Random Stress Fields Generated by Point Defects. Fracture in Compression.- Elastic Interaction of Edge Dislocations with a Crack in a Disk.- The Asymptotic Solution of Anisotropic Gradient Elasticity with Surface Energy for a Mode II Crack.- Interfacial Effects in Fluids.- The Unsteady Motion of Three Phase Contact Lines.- Singularities on Viscous Interfaces.- Spirals, Jets and Pinches.- Penetration Phenomena.- Localization of Strain and the Melting Wave in High-Speed Penetration.- Friction and Singularities in Steady Penetration.- Fracture Mechanics II.- Creep Induced Cohesive Crack Propagation in Mixed Mode.- Asymptotic Analysis of a Spontaneous Crack Growth. Application to a Blunt Crack.- Experimental Investigation of Dynamic Failure Mode Transitions.- Energy Release in Fracture of Rate-Dependent Materials.- Numerical Methods.- A Combined Element-Free Galerkin Method/Arbitrary Lagrangian-Eulerian Formulation for Dynamic Crack Propagation.- Boundary Element and Discrete Vortices Method for Ideal Fluid Flow Calculations.- Method of Numerical Analysis of Stress Singularity at Singular Points in Two- and Three-Dimensional Bodies.- Capillary Breakup and Instabilities.- Capillary-Elastic Instabilities with an Oscillatory Forcing Function.- Singularities and Similarity Solutions in Capillary Breakup.- The Linear Stability of a Two-Phase Compound Jet.- Cusps and Contact Lines.- Free-Surface Deformation and Formation of Cusps at Low Reynolds Number Flow.- Free-Surface Cusps and Moving Contact Lines. A Common Approach to the Problems.- Applications.- Effects of Time-Periodic Fields on the Rheology of Suspensions of Brownian Dipolar Spheres.- A Molecular Theory for Dynamic Contact Angles.- Regularization of Singularities in the Theory of Thin Liquid Films.- Bounds on the Endurance Limit in Fatigue of Dilute Fibrous Composites by the Shakedown Theorems.