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On cohesive micro-crack damage theory. 1, Two dimensional homogenization

Li, Shaofan; Morgan, Elise F.

UCB/SEMM-2002/01, Dept. of Civil and Environmental Engineering, University of California, Berkeley, 2002, 37 leaves (500/C23/2002/01)

A novel continuum damage theory is proposed to model the overall damage effects on material's properties due to distributed cohesive micro-crack growth and coalescence. A new class of continuum damage models is constructed based on homogenizations of Dugdale-Bilby-Cottrell-Swinden (Dugdale-BCS) type micro-cracks in an elastic representative volume element (RVE) of 2-dimensional space. The new theory proposed rests upon 2 postulates on the statistical closure: 1) the maximum average octahedral elastic strain of an RVE, and 2) the maximum distortional strain energy density of an RVE.

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