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Preface. Committees and sponsors. Introduction. Length scales, asymptotics and non-linear singularities (A. Pearson). Corner flows. High Weissenberg number asymptoties and corner singularities in viscoelastic flows (M. Renardy). Corner singularities in three-dimensional Stokes flow (H.K. Moffatt and V. Mak). Hydraulic fracturing. Fluid and solid singularities at the tip of a fluid-driven fracture (E. Detournay). Inverse problems in hydraulic fracturing (O.P. Alekseenko, A.M. Vaisman and A.F. Zazovsky). Fracture mechanics I. The bimaterial notch problem (L. Banks-Sills). Crack development in spatially random stress fields generated by point defects. Fracture in compression (A.V. Dyskin). Elastic interaction of edge dislocations with a crack in a disk (S. Vigdergauz). The asymptotic solution of anisotropic gradient elasticity with surface energy for a Mode II crack (I. Vardoulakis and G. Exadaktylos). Interracial effects in fluids. The unsteady motion of three phase contact lines (J. Billingham). Singularities on viscous interfaces (S.H. Davis). Spirals, jets and pinches (M.J. Shelley). Penetration phenomena. Localization of strain and the melting wave in high-speed penetration (M.V. Ayzenberg and L.I. Slepyan). Friction and singularities in steady penetration (D. Durban). Fracture mechanics II. Creep induced cohesive crack propagation in mixed mode (F. Barpi, S. Valente, F. Chill6 and L. Imperato). Asymptotic analysis of a spontaneous crack growth. Application to a blunt crack (D. LeguiUon). Experimental investigation of dynamic failure mode transitions (D. Rittel). Energy release in fracture of rate-dependent materials (L.I. Slepyan). Numerical methods. A combined element-free Galerkin method/Arbitrary Lagrangian-Eulerian formulation for dynamic crack propagation (J.-P. Ponthot and T. Belytschko). Boundary element and discrete vortices method for ideal fuild flow calculations (D.V. Yevdokymov). Method of numerical analysis of stress singularity at singularpoints in two-and three-dimensional bodies (V.P. Matveyenko, S.M. Borzenkov and S.G. Minakova). Capillary breakup and instabilities. Capillary-elastic instabilities with an oscillatory forcing function (D. Halpern, J.A. Moriarty and J. Grotberg). Singularities and similarity solutions in capillary breakup (J.R. Lister, M.P. Brenner, R.F. Day, E.J. Hinch and H.A. Stone). The linear stability of a two-phase compound jet (A. Chanhan, C. Maldarelli, D. Papageorgiou and D. Rumschitzki). Cusps and contact lines. Free-surface deformation and formation of cusps at low Reynolds number flow (J.*T. Jeong). Free-surface cusps and moving contact lines. A common approach to the problems. (Y.D. Shikhmurzaev). Applications. Effects of time-periodic fields on the rheology of suspensions of Brownian dipolar shpheres (I. Puyesky and I. Frankel). A molecular theory for dynamic contact angles (A. Indeikina and H.-C. Chang). Regularization of singularities in the theory of thin liquid films (A. Oron and S.G. Bankoff). Bounds on the endurance limit in fatigue of dilute fibrous composites by the shakedown theorems (J. Tirosh).
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