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- Luca Placidi
- Facoltà di Ingegneria, Università Telematica Internazionale UNINETTUNO, Corso Vittorio Emanuele II 39, 00186 Roma, Italy
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- Emilio Barchiesi
- Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma ‘La Sapienza’, Via Eudossiana 18, 00184 Roma, Italy
書誌事項
- 公開日
- 2018-02
- 権利情報
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- https://royalsociety.org/journals/ethics-policies/data-sharing-mining/
- DOI
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- 10.1098/rspa.2017.0878
- 公開者
- The Royal Society
この論文をさがす
説明
<jats:p>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.</jats:p>
収録刊行物
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- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474 (2210), 20170878-, 2018-02
The Royal Society