Derivation of the equation of caustics for the experimental assessment of distributed contact loads with friction in two dimensions

Vasilios Spitas, Christos Spitas, George Papadopoulos, Theodore Costopoulos

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The stress-optical method of caustics is an experimental technique that can yield valuable data to assess the stress-state in the vicinity of a singularity such as the point at which a concentrated load acts or the tip of a static or a propagating crack. The present work aims to develop a mathematical background, which can be used to evaluate the complex shapes of the singular surfaces of the caustics produced from the Hertzian load distribution at the contact area between two sliding elastic bodies in order to derive the magnitude of the load and the prevailing mean coefficient of friction. The theoretical caustics are calculated numerically and plotted for various values of the coefficient of friction and experimental evidence supporting the validity of the analysis is given.

Original languageEnglish
Title of host publicationLecture Notes in Applied and Computational Mechanics
Pages337-350
Number of pages14
Volume56 LNACM
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event5th Contact Mechanics International Symposium, CMIS 2009 - Chania, Greece
Duration: Apr 28 2009Apr 30 2009

Publication series

NameLecture Notes in Applied and Computational Mechanics
Volume56 LNACM
ISSN (Print)16137736

Other

Other5th Contact Mechanics International Symposium, CMIS 2009
CountryGreece
CityChania
Period4/28/094/30/09

Fingerprint

Loads (forces)
Friction
Cracks

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Mechanical Engineering

Cite this

Spitas, V., Spitas, C., Papadopoulos, G., & Costopoulos, T. (2013). Derivation of the equation of caustics for the experimental assessment of distributed contact loads with friction in two dimensions. In Lecture Notes in Applied and Computational Mechanics (Vol. 56 LNACM, pp. 337-350). (Lecture Notes in Applied and Computational Mechanics; Vol. 56 LNACM). https://doi.org/10.1007/978-3-642-33968-4_21

Derivation of the equation of caustics for the experimental assessment of distributed contact loads with friction in two dimensions. / Spitas, Vasilios; Spitas, Christos; Papadopoulos, George; Costopoulos, Theodore.

Lecture Notes in Applied and Computational Mechanics. Vol. 56 LNACM 2013. p. 337-350 (Lecture Notes in Applied and Computational Mechanics; Vol. 56 LNACM).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Spitas, V, Spitas, C, Papadopoulos, G & Costopoulos, T 2013, Derivation of the equation of caustics for the experimental assessment of distributed contact loads with friction in two dimensions. in Lecture Notes in Applied and Computational Mechanics. vol. 56 LNACM, Lecture Notes in Applied and Computational Mechanics, vol. 56 LNACM, pp. 337-350, 5th Contact Mechanics International Symposium, CMIS 2009, Chania, Greece, 4/28/09. https://doi.org/10.1007/978-3-642-33968-4_21
Spitas V, Spitas C, Papadopoulos G, Costopoulos T. Derivation of the equation of caustics for the experimental assessment of distributed contact loads with friction in two dimensions. In Lecture Notes in Applied and Computational Mechanics. Vol. 56 LNACM. 2013. p. 337-350. (Lecture Notes in Applied and Computational Mechanics). https://doi.org/10.1007/978-3-642-33968-4_21
Spitas, Vasilios ; Spitas, Christos ; Papadopoulos, George ; Costopoulos, Theodore. / Derivation of the equation of caustics for the experimental assessment of distributed contact loads with friction in two dimensions. Lecture Notes in Applied and Computational Mechanics. Vol. 56 LNACM 2013. pp. 337-350 (Lecture Notes in Applied and Computational Mechanics).
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