Analysis of crack propagation path on the anisotropic bi-material rock.
Chen, Chao-Shi, Tu, Chia-Huei, Yang, Chen-Cheng (2010)
Mathematical Problems in Engineering
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Chen, Chao-Shi, Tu, Chia-Huei, Yang, Chen-Cheng (2010)
Mathematical Problems in Engineering
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Itou, S. (1981)
International Journal of Mathematics and Mathematical Sciences
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Mukherjee, S., Das, S. (2005)
Journal of Applied Mathematics
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Bardzokas, D.I., Sfyris, G.I. (2005)
Mathematical Problems in Engineering
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Pal Roy, P., Debnath, L. (1988)
International Journal of Mathematics and Mathematical Sciences
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Craciun, Eduard-Marius (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Alberto Carpinteri (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The nature of the crack and the structure behaviour can range from ductile to brittle depending on tensile strength and fracture toughness of the material, as well as on the size-scale of the solid body. Strength and toughness present in fact different physical dimensions and any consistent fracture criterion must consider energy dissipation both per unit of volume and per unit of crack area. A cohesive crack model is proposed aiming at describing the size effects of fracture mechanics,...
Das, Subir (2002)
International Journal of Mathematics and Mathematical Sciences
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Roy, P.Pal, Debnath, L. (1988)
International Journal of Mathematics and Mathematical Sciences
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Crescentino Bosco, Alberto Carpinteri (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Whereas in elasticity and plasticity geometrically similar structures behave in the same way, when strain-softening and strain-localization are taken into account the structural behaviour ranges from ductile to brittle merely by increasing size and keeping material properties and geometrical shape unchanged. The size-scale of plain and reinforced concrete elements has often revealed a fundamental influence on the global structural behaviour. This has been theoretically predicted and...