On the inverse formulation of the problem of brittle fracture statistics
A new formulation of the problem of brittle fracture statistics is presented. It is shown that it is possible to devise a mathematical approach by which a strength distribution function corresponding to a given form of a size-mean-strength relationship can be obtained rather than by fitting test dat...
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| Veröffentlicht in: | Journal of applied physics 1974-03, Vol.45 (3), p.1454-1455 |
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| Sprache: | eng |
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| container_issue | 3 |
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| container_title | Journal of applied physics |
| container_volume | 45 |
| creator | Rao, C. V. S. Kameswara |
| description | A new formulation of the problem of brittle fracture statistics is presented. It is shown that it is possible to devise a mathematical approach by which a strength distribution function corresponding to a given form of a size-mean-strength relationship can be obtained rather than by fitting test data to an a priori assumed form of strength distribution function. The problem in effect is shown to reduce to the solution of a nonlinear integral equation, and a method of its solution is presented. To illustrate the feasibility of the method, the well-known distribution function due to Weibull is derived. |
| doi_str_mv | 10.1063/1.1663431 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0021-8979 |
| ispartof | Journal of applied physics, 1974-03, Vol.45 (3), p.1454-1455 |
| issn | 0021-8979 1089-7550 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_22193142 |
| source | AIP Digital Archive |
| title | On the inverse formulation of the problem of brittle fracture statistics |
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