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This volume constitutes the Proceedings of the IUTAM Symposium on "Analytical and Computational Fracture Mechanics of Non-homogeneous Materials", held in Cardiff from 18th to 22nd June 2001. The Symposium was convened to address and place on record topical issues in analytical and computational aspects of the fracture of non-homogeneous materials as they are approached by specialists in mechanics, materials science and related fields. The expertise represented in the Symposium was accordingly very wide, and many of the world's greatest authorities in their respective fields participated. Given the extensive range and scale of non-homogeneous materials, it had to be focussed to enhance the quality and impact of the Symposium. The range of non-homogeneous materials was limited to those that are inhomogeneous at the macroscopic level and/or exhibit strain softening. The issues of micro to macro scaling were not excluded even within this restricted range which covered materials such as rock, concrete, ceramics and composites on the one hand, and, on the other, those metallic materials whose ductile fracture is strongly influenced by the presence of inhomogeneities. The Symposium remained focussed on fundamental research issues of practical significance. These issues have many common features among seemingly disparate non-homogeneous materials.

Preface. Features and ellipticity analysis of a discrete constitutive equation; H.L. Schreyer. Finite fracature mechanics - Application to the onset of a crack at a bimaterial corner; D. Leguillon, K. Siruguet. Elastic-plastic stress singularity near a bonded interface; D.H. Chen, K. Ushijima. Viscosity-dominated regime of a fluid-driven fracture in an elastic medium; D. Garagash, E. Detournay. Modelling failure mechanisms in laminated composites; L.N. McCartney. The influence of fiber on the structural response of reinforced concrete beams; A. Carpinteri, et al. Materials with novel architectonics: assemblies of interlocked elements; Y. Estrin, et al. Asymptotics of elastic field near the tip of interface crack under nonclassical transmission conditions; G. Mishuris, G. Kuhn. Scaling in multiple fracture and size effect; F.M. Borodich. Mechanics of fractal materials; A.V. Dyskin. Fractal aspects of fracture simulation; M.M. Davydova. Filling of a circular crack with two non-miscible fluids; A. Feraille-Fresnet, A. Ehrlacher. Effect of inhomogeneous rock properties on the stability of wellbores; C. Atkinson, I. Bradford. The interplay of material and geometric instabilities in large deformations of viscous rock; H.-B. Mühlhaus, et al. A displacement rate dependent softening model applied to the unstable propagation of shear crack in soft rock; Y. Nakagawa, et al. Fractures and defects in Cosserat continua modelling layered materials; E. Pasternak, et al. Modeling thin inclusions in poroelastic medium by line discontinuities; L. Germanovich, R. Chanpura. Cleavage fracture in `heterogeneous' steel microstructures; J.F. Knott. Modelling delayed hydride cracking in zirconium alloys; D.A. Scarth, E. Smith. Multiscalemodeling of crack growth in polycrystals; E. Iesulauro, et al. The viscoelastic fracture and identation of sea ice; J.P. Dempsey. An enriched finite element method for dynamic crack propagation; H. Chen, T. Belytschko. Modelling of early-age fracture of shotcrete: application to tunneling; R. Lackner, H.A. Mang. Modelling of progressive interface failure under monotonic and cyclic loading; Z. Mroz, N. Bialas. Crack kinking from an initially closed interface crack in the presence of friction; J. Frelat, J.-B. Leblond. Elasto-plastic interface laws for non-homogeneous materials: formulation, sensitivity analysis and parameter identification; A. Corigliano. Analytical and discrete modeling of transformation thoughening; D. Zeng, et al. The influence of boundary conditions on the non-local response of a randomly heterogeneous medium; R. Luciano, J.R. Willis. Dynamic crack growth along interfaces; A. Needleman, et al. A thermodynamic plasticity formulation with local and non-local internal variables; G. Borino, et al. Multi-scale energy release rate in dynamic crack growth of strain-softening materials; X. Zhang, Y.W. Mai. Analysis of cohesive cracks under quasi-static and dynamic loading; G.N. Wells, et al. Material forces in computational fracture mechanics; F.J. Barth, et al. Shear localisation in thick-walled cylinders under internal pressure based on gradient elastoplasticity; A. Zervos, et al. Damage and fracture study on non-homogeneous materials by image correlation computations; J. Fang, et al. Fibre failure due to thermal residual stresses in model polymer based composites; A.S. Nielsen, R. Pyrz. A new methode to obtain crack surface areas from electromagnetic radiation emitted in fracture: a string of pulses; A. Ra