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• W4361011502 endingPage "112224" @default.
• W4361011502 startingPage "112224" @default.
• W4361011502 abstract "Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If applied to the structural models of beams and shells, where the elastic energy is the sum of the stretching and bending contributions, a similar approach is not able to capture some important features. For instance, the coupling between axial and bending strains induced by cracks non-symmetric with respect to the center line is completely missed. In this contribution, we deduce a constitutive law for a beam having a crack non-symmetric with respect to the center line. To achieve this, we perform an asymptotic coarse-grained procedure from a 2D problem, using a sharp interface model. We deduce a homogenized 1D elastic energy, coupling the axial and bending strains, the constitutive parameters of which depend in a different way on the crack depth and we state how precisely they do. This should pave the way to a rational development of a phase-field gradient model for thin structures." @default.
• W4361011502 created "2023-03-30" @default.
• W4361011502 creator A5013318656 @default.
• W4361011502 creator A5030941093 @default.
• W4361011502 creator A5058944340 @default.
• W4361011502 date "2023-05-01" @default.
• W4361011502 modified "2023-10-09" @default.
• W4361011502 title "A coarse-grained constitutive law for fracturing beams based on a sharp interface crack representation" @default.
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• W4361011502 doi "https://doi.org/10.1016/j.ijsolstr.2023.112224" @default.
• W4361011502 hasPublicationYear "2023" @default.
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