Fracture and Structural Integrity e-ISSN 1971-8993 Open access
SI: Research activities of the Greek Society of Experimental Mechanics of Materi Vol. 13, No. 50 (2019)

Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length

Author and affiliation details
DOI
10.3221/IGF-ESIS.50.38
Pages
451-470
Published
Published inVol. 13, No. 50 (2019)Go to the issue

Abstract

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.

Keywords

Article history

  1. ReceivedUntil the next stage: 3 days
  2. AcceptedUntil the next stage: 0 days
  3. Published

How to cite

APA

Markides, C. (2019). Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length. Fracture and Structural Integrity, 13(50), 451–470. https://doi.org/10.3221/IGF-ESIS.50.38

IEEE

C. Markides, “Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length,” Fracture and Structural Integrity, vol. 13, no. 50, pp. 451–470, 2019, doi: 10.3221/IGF-ESIS.50.38.

MLA

Markides, Christos. “Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length.” Fracture and Structural Integrity, vol. 13, no. 50, 2019, pp. 451–470. https://doi.org/10.3221/IGF-ESIS.50.38.

Chicago

Markides, Christos. 2019. “Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length.” Fracture and Structural Integrity 13 (50): 451–470. https://doi.org/10.3221/IGF-ESIS.50.38.

Harvard

Markides, C. (2019) ‘Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length’, Fracture and Structural Integrity, 13(50), pp. 451–470. doi: 10.3221/IGF-ESIS.50.38.

Vancouver

Markides C. Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length. Fracture and Structural Integrity. 2019;13(50):451-470. doi:10.3221/IGF-ESIS.50.38

BibTeX

@article{markides2019, author = {Markides, Christos}, title = {Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length}, journal = {Fracture and Structural Integrity}, year = {2019}, volume = {13}, number = {50}, pages = {451--470}, doi = {10.3221/IGF-ESIS.50.38}, url = {https://doi.org/10.3221/IGF-ESIS.50.38}, issn = {1971-8993} }

RIS

TY - JOUR AU - Markides, Christos TI - Double initial and caustic curves in diametrically compressed transparent discs - Application to the contact length JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2019 DA - 2019/09/02 VL - 13 IS - 50 SP - 451 EP - 470 DO - 10.3221/IGF-ESIS.50.38 UR - https://doi.org/10.3221/IGF-ESIS.50.38 SN - 1971-8993 ER -

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Copyright © 2019 Christos Markides.

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