SURFACE FLAW DISTRIBUTIONS IN BRITTLE MATERIALS AND HERTZIAN FRACTURE
Refined mode I and mode II stress intensity factors for short cracks perpendicular to a free surface driven by a Hertzian indenter have been calculated for the case where the sphere and substrate are made of the same material. Computer simulations of Hertzian indentation tests for a variety of rando...
| Главные авторы: | , , |
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| Формат: | Journal article |
| Опубликовано: |
1994
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| _version_ | 1826260167139786752 |
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| author | Warren, P Hills, D Roberts, S |
| author_facet | Warren, P Hills, D Roberts, S |
| author_sort | Warren, P |
| collection | OXFORD |
| description | Refined mode I and mode II stress intensity factors for short cracks perpendicular to a free surface driven by a Hertzian indenter have been calculated for the case where the sphere and substrate are made of the same material. Computer simulations of Hertzian indentation tests for a variety of random surface flaw distributions show that the ring crack is expected to form outside the contact radius in all cases and that for spheres of small radii, the fracture load is expected to be proportional to the sphere radius (Auerbach's law). Reconstruction of the surface flaw distribution using the `searched area' concept is described. A useful analytical approximation for the stress intensity factors is also presented. |
| first_indexed | 2024-03-06T19:01:20Z |
| format | Journal article |
| id | oxford-uuid:13a10433-df4b-4c6f-87af-a0ae61a0bdd5 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:01:20Z |
| publishDate | 1994 |
| record_format | dspace |
| spelling | oxford-uuid:13a10433-df4b-4c6f-87af-a0ae61a0bdd52022-03-26T10:14:58ZSURFACE FLAW DISTRIBUTIONS IN BRITTLE MATERIALS AND HERTZIAN FRACTUREJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:13a10433-df4b-4c6f-87af-a0ae61a0bdd5Symplectic Elements at Oxford1994Warren, PHills, DRoberts, SRefined mode I and mode II stress intensity factors for short cracks perpendicular to a free surface driven by a Hertzian indenter have been calculated for the case where the sphere and substrate are made of the same material. Computer simulations of Hertzian indentation tests for a variety of random surface flaw distributions show that the ring crack is expected to form outside the contact radius in all cases and that for spheres of small radii, the fracture load is expected to be proportional to the sphere radius (Auerbach's law). Reconstruction of the surface flaw distribution using the `searched area' concept is described. A useful analytical approximation for the stress intensity factors is also presented. |
| spellingShingle | Warren, P Hills, D Roberts, S SURFACE FLAW DISTRIBUTIONS IN BRITTLE MATERIALS AND HERTZIAN FRACTURE |
| title | SURFACE FLAW DISTRIBUTIONS IN BRITTLE MATERIALS AND HERTZIAN FRACTURE |
| title_full | SURFACE FLAW DISTRIBUTIONS IN BRITTLE MATERIALS AND HERTZIAN FRACTURE |
| title_fullStr | SURFACE FLAW DISTRIBUTIONS IN BRITTLE MATERIALS AND HERTZIAN FRACTURE |
| title_full_unstemmed | SURFACE FLAW DISTRIBUTIONS IN BRITTLE MATERIALS AND HERTZIAN FRACTURE |
| title_short | SURFACE FLAW DISTRIBUTIONS IN BRITTLE MATERIALS AND HERTZIAN FRACTURE |
| title_sort | surface flaw distributions in brittle materials and hertzian fracture |
| work_keys_str_mv | AT warrenp surfaceflawdistributionsinbrittlematerialsandhertzianfracture AT hillsd surfaceflawdistributionsinbrittlematerialsandhertzianfracture AT robertss surfaceflawdistributionsinbrittlematerialsandhertzianfracture |