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

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dc.creatorMariano, Paolo Maria
dc.date2003-05-02
dc.date.accessioned2026-07-07T04:30:09Z
dc.date.available2026-07-07T04:30:09Z
dc.descriptionThe 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.
dc.description24 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0305004
dc.identifierhttp://arxiv.org/abs/math-ph/0305004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57378
dc.subjectMathematical Physics
dc.subject74A45; 74A30; 74R99
dc.titleInfluence of the material substructure on crack propagation: a unified treatment
dc.typetext

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