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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Gruppo Italiano Frattura
2019-01-01
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Series: | Fracture and Structural Integrity |
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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 |
format | Article |
id | doaj-art-5a79b367f6554f998f2d9a47feefcf5d |
institution | Kabale University |
issn | 1971-8993 |
language | English |
publishDate | 2019-01-01 |
publisher | Gruppo Italiano Frattura |
record_format | Article |
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 |
work_keys_str_mv | AT andreaspagnoli sizeeffectonthefractureresistanceofroughandfrictionalcracks AT andreacarpinteri sizeeffectonthefractureresistanceofroughandfrictionalcracks AT micheleterzano sizeeffectonthefractureresistanceofroughandfrictionalcracks |