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.

Inhalt
Features and ellipticity analysis of a discrete constitutive equation.- Finite fracture mechanics Application to the onset of a crack at a bimaterial corner I.- Elastic-plastic stress singularity near a bonded interface.- Viscosity-dominated regime of a fluid-driven fracture in an elastic medium.- Modelling failure mechanisms in laminated composites.- The influence of fiber on the structural response of reinforced concrete beams.- Materials with novel architectonics: assemblies of interlocked elements.- Asymptotics of elastic field near the tip of interface crack under nonclassical transmission conditions.- Scaling in multiple fracture and size effect.- Mechanics of fractal materials.- Fractal aspects of fracture simulation.- Filling of a circular crack with two non-miscible fluids.- Effect of inhomogeneous rock properties on the stability of wellbores.- The interplay of material and geometric instabilities in large deformations of viscous rock.- A displacement rate dependent softening model applied to the unstable propagation of shear crack in soft rock.- Fractures and defects in Cosserat continua modelling layered materials.- Modeling thin inclusions in poroelastic medium by line discontinuities.- Cleavage fracture in heterogeneous steel microstructures.- Modelling delayed hydride cracking in zirconium alloys.- Multiscale modeling of crack growth in polycrystals.- The viscoelastic fracture and indentation of sea ice.- An enriched finite element method for dynamic crack propagation.- Modeling of early-age fracture of shotcrete: application to tunneling.- Modelling of progressive interface failure under monotonic and cyclic loading.- Crack kinking from an initially closed interface crack in the presence of friction.- Elasto-plastic interface laws fornon-homogeneous materials: formulation, sensitivity analysis and parameter identification.- Analytical and discrete modeling of transformation toughening.- The influence of boundary conditions on the non-local response of a randomly heterogeneous medium.- Dynamic crack growth along interfaces.- A thermodynamic plasticity formulation with local and non-local internal variables.- Multi-scale energy release rate in dynamic crack growth of strain-softening materials.- Analysis of cohesive cracks under quasi-static and dynamic loading.- Material forces in computational fracture mechanics.- Shear localisation in thick-walled cylinders under internal pressure based on gradient elastoplasticity.- Damage and fracture study of non-homogeneous materials by image correlation computations.- Fibre failure due to thermal residual stresses in model polymer based composites.- A new method to obtain crack surface areas from electromagnetic radiation emitted in fracture: a string of pulses.- Determination of cohesive laws for materials exhibiting large scale damage zones.- A bio-chemo-mechanics approach to bone resorption and fracture.- Numerical study of mixed-mode fracture in concrete.- Thermodynamics of a multi component crack model.- Failure assessment of anchor bolts by means of nonlinear finite element analysis.- An interface model for fibre reinforced concrete.- Gradual degradation of initially porous polycrystalline ceramics subjected to quasistatic tension.- 3D studies of ductile failure in particulate reinforced metals.- Modeling deformation and damage in particle-reinforced composites: the effect of superposed hydrostatic pressure.- Understanding failure of heterogeneous materials from the analysis of discrete disordered systems.- Photonic band gaps for fields in continuous and lattice structures.- Effects of shear and rotation on the mechanical behaviour of interphase.- Modelling of R-curves from measured bridging laws.- Interfacial crack depinning.- Analysis of 3D crack propagation in random lattice structures with particle overlay.- A novel technique for the generation of failure criteria for jointed rock.- Nonlinear wave propagation in porous materials.- An improved lattice model for fracture and size effect of concrete structures.- Appendix: The Scientific Programme.