Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length
General formulae for double initial and caustic curves (reflected and transmitted) are obtained in the case of smooth contact of two cylindrical elastic bodies of arbitrary radii. Namely, based on the method of reflected and transmitted caustics, the conditions for the development of double initial...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2019-09-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2613 |
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| author | Christos Markides |
| author_facet | Christos Markides |
| author_sort | Christos Markides |
| collection | DOAJ |
| description | General formulae for double initial and caustic curves (reflected and transmitted) are obtained in the case of smooth contact of two cylindrical elastic bodies of arbitrary radii. Namely, based on the method of reflected and transmitted caustics, the conditions for the development of double initial and contact caustic curves are established as functions of six independent parameters, while easy-to-use closed-form expressions are given for obtaining the contact length. An experimental protocol is then implemented in the case a thin cylindrical transparent disc is compressed between the jaws of the International Society for Rock Mechanics suggested device for the execution of the Brazilian-disc test. The experimental method of caustics can provide the contact length quite accurately, even in the case of double curves which seem that are not always a consequence of a wide contact region. |
| format | Article |
| id | doaj-art-c13a641ec6274242940e20ebcbb66a7a |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2019-09-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-c13a641ec6274242940e20ebcbb66a7a2025-01-03T00:40:26ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-09-011350Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact lengthChristos Markides0National Technical University of AthensGeneral formulae for double initial and caustic curves (reflected and transmitted) are obtained in the case of smooth contact of two cylindrical elastic bodies of arbitrary radii. Namely, based on the method of reflected and transmitted caustics, the conditions for the development of double initial and contact caustic curves are established as functions of six independent parameters, while easy-to-use closed-form expressions are given for obtaining the contact length. An experimental protocol is then implemented in the case a thin cylindrical transparent disc is compressed between the jaws of the International Society for Rock Mechanics suggested device for the execution of the Brazilian-disc test. The experimental method of caustics can provide the contact length quite accurately, even in the case of double curves which seem that are not always a consequence of a wide contact region.https://www.fracturae.com/index.php/fis/article/view/2613Double initial and caustic curvesCompressed discsContact length |
| spellingShingle | Christos Markides Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length Fracture and Structural Integrity Double initial and caustic curves Compressed discs Contact length |
| title | Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length |
| title_full | Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length |
| title_fullStr | Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length |
| title_full_unstemmed | Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length |
| title_short | Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length |
| title_sort | double initial and caustic curves in diametrically compressed transparent discs application to the contact length |
| topic | Double initial and caustic curves Compressed discs Contact length |
| url | https://www.fracturae.com/index.php/fis/article/view/2613 |
| work_keys_str_mv | AT christosmarkides doubleinitialandcausticcurvesindiametricallycompressedtransparentdiscsapplicationtothecontactlength |