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• W2787997392 endingPage "20170878" @default.
• W2787997392 startingPage "20170878" @default.
• W2787997392 abstract "In this paper, we exploit some results in the theory of irreversible phenomena to address the study of quasi-static brittle fracture propagation in a two-dimensional isotropic continuum. The elastic strain energy density of the body has been assumed to be geometrically nonlinear and to depend on the strain gradient. Such generalized continua often arise in the description of microstructured media. These materials possess an intrinsic length scale, which determines the size of internal boundary layers. In particular, the non-locality conferred by this internal length scale avoids the concentration of deformations, which is usually observed when dealing with local models and which leads to mesh dependency. A scalar Lagrangian damage field, ranging from zero to one, is introduced to describe the internal state of structural degradation of the material. Standard Lamé and second-gradient elastic coefficients are all assumed to decrease as damage increases and to be locally zero if the value attained by damage is one. This last situation is associated with crack formation and/or propagation. Numerical solutions of the model are provided in the case of an obliquely notched rectangular specimen subjected to monotonous tensile and shear loading tests, and brittle fracture propagation is discussed." @default.
• W2787997392 created "2018-03-06" @default.
• W2787997392 creator A5026589468 @default.
• W2787997392 creator A5032736785 @default.
• W2787997392 date "2018-02-01" @default.
• W2787997392 modified "2023-10-03" @default.
• W2787997392 title "Energy approach to brittle fracture in strain-gradient modelling" @default.
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• W2787997392 doi "https://doi.org/10.1098/rspa.2017.0878" @default.
• W2787997392 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/5832844" @default.
• W2787997392 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/29507523" @default.
• W2787997392 hasPublicationYear "2018" @default.
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