### 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 language | English |
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Title of host publication | Lecture Notes in Applied and Computational Mechanics |

Pages | 337-350 |

Number of pages | 14 |

Volume | 56 LNACM |

DOIs | |

Publication status | Published - 2013 |

Externally published | Yes |

Event | 5th Contact Mechanics International Symposium, CMIS 2009 - Chania, Greece Duration: Apr 28 2009 → Apr 30 2009 |

### Publication series

Name | Lecture Notes in Applied and Computational Mechanics |
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Volume | 56 LNACM |

ISSN (Print) | 16137736 |

### Other

Other | 5th Contact Mechanics International Symposium, CMIS 2009 |
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Country | Greece |

City | Chania |

Period | 4/28/09 → 4/30/09 |

### Fingerprint

### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Mechanical Engineering

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

TY - GEN

T1 - Derivation of the equation of caustics for the experimental assessment of distributed contact loads with friction in two dimensions

AU - Spitas, Vasilios

AU - Spitas, Christos

AU - Papadopoulos, George

AU - Costopoulos, Theodore

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84870752851&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870752851&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-33968-4_21

DO - 10.1007/978-3-642-33968-4_21

M3 - Conference contribution

AN - SCOPUS:84870752851

SN - 9783642339677

VL - 56 LNACM

T3 - Lecture Notes in Applied and Computational Mechanics

SP - 337

EP - 350

BT - Lecture Notes in Applied and Computational Mechanics

ER -