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ICCM2014
28-30th July, Cambridge, England


TPL: A multiscale boundary integral formulation for modelling damage


Ferri Aliabadi, Imperial College, London
Email: m.h.aliabadi@imperial.ac.uk


The aim of multiscale modelling and computation is to predict the behaviour of complex materials, including biomaterials across a range of length and time scales. In talk a multiscale boundary integral formulation for modelling damage is proposed. The constitutive behaviour of a polycrystalline macro-continuum is described by micromechanics simulations using averaging theorems. An integral non-local approach is employed to avoid the pathological localization of microdamage at the macro-scale. At the micro-scale, multiple intergranular crack initiation and propagation under mixed mode failure conditions is considered. Moreover, a nonlinear frictional contact analysis is employed for modelling the cohesive-frictional grain boundary interfaces. Both micro and macro-scales are being modelled with the boundary element method. Additionally, a scheme for coupling the micro-BEM with a macro-FEM is also proposed. To demonstrate the accuracy of the proposed method, the mesh independency is investigated and comparisons with two macro-FEM models are made to validate the different modelling approaches. Finally, microstructural variability of the macro-continuum is considered to investigate possible applications to heterogenous materials.