Size effect on the fracture resistance of rough and frictional cracks

Elastic fracture mechanics commonly defines the fracture resistance of brittle materials within an idealized picture of planar and traction-free cracks. An efficient approach to describe the interface conditions in real cracks, such as those occurring in concrete, ceramics or stones, is to include t...

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Main Authors: Andrea Spagnoli, Andrea Carpinteri, Michele Terzano
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2019-01-01
Series:Fracture and Structural Integrity
Subjects:
Online Access:http://www.gruppofrattura.it/pdf/rivista/numero47/numero_47_art_30.pdf
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author Andrea Spagnoli
Andrea Carpinteri
Michele Terzano
author_facet Andrea Spagnoli
Andrea Carpinteri
Michele Terzano
author_sort Andrea Spagnoli
collection DOAJ
description Elastic fracture mechanics commonly defines the fracture resistance of brittle materials within an idealized picture of planar and traction-free cracks. An efficient approach to describe the interface conditions in real cracks, such as those occurring in concrete, ceramics or stones, is to include the effect of both roughness and friction by means of a constitutive relationship between opposite points on the interface. In the present paper, we use a numerical technique, based on the solution of singular integral equations, to derive the near-tip stress field with various interface conditions. Then, the technique is applied to investigate the size effect of the interface roughness, where such an effect is related to the ratio between the characteristic length of the roughness and the nominal length of the crack. It is found that the resulting near-tip stresses can be profoundly influenced by the crack path, particularly for short cracks
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publisher Gruppo Italiano Frattura
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series Fracture and Structural Integrity
spelling doaj-art-5a79b367f6554f998f2d9a47feefcf5d2025-01-02T22:57:44ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-01-01134740140710.3221/IGF-ESIS.47.3010.3221/IGF-ESIS.47.30Size effect on the fracture resistance of rough and frictional cracksAndrea SpagnoliAndrea CarpinteriMichele TerzanoElastic fracture mechanics commonly defines the fracture resistance of brittle materials within an idealized picture of planar and traction-free cracks. An efficient approach to describe the interface conditions in real cracks, such as those occurring in concrete, ceramics or stones, is to include the effect of both roughness and friction by means of a constitutive relationship between opposite points on the interface. In the present paper, we use a numerical technique, based on the solution of singular integral equations, to derive the near-tip stress field with various interface conditions. Then, the technique is applied to investigate the size effect of the interface roughness, where such an effect is related to the ratio between the characteristic length of the roughness and the nominal length of the crack. It is found that the resulting near-tip stresses can be profoundly influenced by the crack path, particularly for short crackshttp://www.gruppofrattura.it/pdf/rivista/numero47/numero_47_art_30.pdfInterface models Friction Roughness Distributed dislocation technique Size effect
spellingShingle Andrea Spagnoli
Andrea Carpinteri
Michele Terzano
Size effect on the fracture resistance of rough and frictional cracks
Fracture and Structural Integrity
Interface models
Friction
Roughness
Distributed dislocation technique
Size effect
title Size effect on the fracture resistance of rough and frictional cracks
title_full Size effect on the fracture resistance of rough and frictional cracks
title_fullStr Size effect on the fracture resistance of rough and frictional cracks
title_full_unstemmed Size effect on the fracture resistance of rough and frictional cracks
title_short Size effect on the fracture resistance of rough and frictional cracks
title_sort size effect on the fracture resistance of rough and frictional cracks
topic Interface models
Friction
Roughness
Distributed dislocation technique
Size effect
url http://www.gruppofrattura.it/pdf/rivista/numero47/numero_47_art_30.pdf
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