원형 핀과 구멍의 접촉에서 헤르츠 응력장 가정을 위한 조건

Abstract

LWR Fuel Development Division, Korea Atomic Energy Research Institute(Receive August 15, 2015; Revised September 20, 2015; Accepted September 21, 2015)Abstract − This paper focuses on the conformal contact problem. A typical example of conformal contact is thecontact between a pin and hole. In particular, this paper focuses on the condition for assuming a contact stressfield to be a Hertzian pressure profile by using well-known classical solutions associated with Hertzian contact.Persson first developed the conformal contact analysis method around half a century ago, but there have beenno significant improvements since then. The present research also adopted this method, but developed new solu-tions from the viewpoint of application to structural design. The analysis began with a comparison between Per-sson°Os conformal contact stress and the Hertzian stress fields. The next step was to check the differences inthe normalized stress values of both. This study used the tolerance for the difference in the peak stresses of Per-sson°Os solution and the Hertz solution to validate the Hertzian assumption. This gave the range for the dif-ference in radii of the pin and hole when the contact force and mechanical properties of the material are specified.The results showed that, at a tolerance of 5%, the Hertzian assumption is valid if half of the contact angle is lessthan 35°ý. In addition, the Hertzian assumption holds even for a relatively long contact length, in contrast to thegeneral incomplete contact problem. This paper discusses these results along with other aspects of the applicationto the design.Keywords − conformal contact(등각 접촉), contact angle(접촉 각), contact length(접촉 길이), Hertzian stressassumption(헤르츠 응력장 가정), contact mechanics(접촉역학)