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Influence of the material substructure on crack propagation: a unified treatment

Paolo Maria Mariano
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Abstract

The influence of the material texture (substructure) on the force driving the crack tip in complex materials admitting Ginzburg-Landau-like energies is analyzed in a three-dimensional continuum setting. The theory proposed accounts for finite deformations and general coarse-grained order parameters. A modified expression of the J-integral is obtained together with other path-integrals which are necessary to treat cases where the process zone around the tip has finite size. The results can be applied to a wide class of material substructures. As examples, cracks in ferroelectrics and in materials with strain-gradient effects are discussed: in these cases the specializations of the general results fit reasonably experimental data.

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Paolo Maria Mariano. 2003-05-02. Influence of the material substructure on crack propagation: a unified treatment. https://arxiv.org/abs/math-ph/0305004

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