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Bending of marble with intrinsic length scales : a gradient theory with surface energy and size effects

Vardoulákīs, Iōánnīs, Exadaktylos Georgios, Kourkoulis, Stavros K

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URIhttp://purl.tuc.gr/dl/dias/33222FCD-1AD3-43B8-BDF5-BC00AA922C95-
Identifierhttp://www.researchgate.net/publication/44898827_Bending_of_marble_with_intrinsic_length_scales__A_gradient_theory_with_surface_energy_and_size_effects-
Identifierhttps://doi.org/10.1051/jp4:1998849-
Languageen-
Extent8 pagesen
TitleBending of marble with intrinsic length scales : a gradient theory with surface energy and size effectsen
CreatorVardoulákīs, Iōánnīsen
CreatorExadaktylos Georgiosen
CreatorΕξαδακτυλος Γεωργιοςel
CreatorKourkoulis, Stavros Ken
Content SummaryA gradient bending theory is developed based on a strain energy function that includes the classical Bernoulli-Euler term, the shape correction term (microstructural length scale) introduced by Timoshenko, and a term associated with surface energy (micromaterial length scale) accounting for the bending moment gradient effect. It is shown that the last term is capable to interpret the size effect in three-point bending (3PB), namely the decrease of the failure load with decreasing beam length for the same aspect ratio. This theory is used to describe the mechanical behaviour of Dionysos-Pentelikon marble in 3PB. Series of tests with prismatic marble beams of the same aperture but with different lengths were conducted and it was concluded that the present theory predicts well the size effect.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-11-05-
Date of Publication1998-
SubjectMarbleen
SubjectLength scaleen
SubjectSize effecten
SubjectSurface energyen
SubjectPhysics, Multidisciplinaryen
SubjectAspect ratioen
SubjectBending momentsen
SubjectFailure (mechanical)en
SubjectLoads (forces)en
SubjectMechanical propertiesen
SubjectPartial differential equationsen
SubjectSpatial variables measurementen
SubjectStrain rateen
SubjectSurface tensionen
SubjectBernoulli-Euler termen
SubjectGradient bending theoryen
SubjectIntrinsic length scalesen
SubjectStrain energy functionen
SubjectContinuum mechanicsen
Bibliographic CitationI. Vardoulakis, G. Exadaktylos and S. Kourkoulis, "Bending of marble with intrinsic length scales : a gradient theory with surface energy and size effects," J. Physique IV, vol. 8, pp. 399-406, Nov. 1998. doi:10.1051/jp4:1998849en

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