ISSN:
1573-2673
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Abstract The shear stress distribution for the notch problem of plane elasticity in the sliding mode case is investigated in this paper. Particular features of the shear stress distribution beneath the crown point of notch are analyzed by means of the Muskhelishvili method [1]. It is found that the maximum shear stress σxy, max is always reached at some point below the surface of the notch. The smaller the radius ρ of the notch, the larger is the maximum shear stress σxy, max. A relation between σxy, max and stress intensity factor K II of the corresponding crack problem is found to be Several specific examples are given to prove the validity of the obtained relation. % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D% aebbfv3ySLgzGueE0jxyaibaiGc9yrFr0xXdbba91rFfpec8Eeeu0x% Xdbba9frFj0-OqFfea0dXdd9vqaq-JfrVkFHe9pgea0dXdar-Jb9hs% 0dXdbPYxe9vr0-vr0-vqpWqaaeaabiGaciaacaqabeaadaqaaqGaaO% qaaiaadUeadaWgaaWcbaGaaeysaiaabMeaaeqaaOGaeyypa0ZaaSaa% aeaacaaIZaWaaOaaaeaacaaIZaGaeqiWdahaleqaaaGcbaGaaGOmaa% aadaWfqaqaaiGacYgacaGGPbGaaiyBaaWcbaGaeqyWdiNaeyOKH4Qa% aGimaaqabaGcdaGcaaqaaiabeg8aYjabeo8aZbWcbeaakmaaBaaale% aacaWG4bGaamyEaiaacYcaciGGTbGaaiyyaiaacIhadaahaaadbeqa% amXvP5wqonvsaeHbuLwBLnhiov2DGi1BTfMBG0evGueE0jxyGi0BSr% gaiuaacqWFUaGlaaaaleqaaaaa!6261!\[K_{{\text{II}}} = \frac{{3\sqrt {3\pi } }}{2}\mathop {\lim }\limits_{\rho \to 0} \sqrt {\rho \sigma } _{xy,\max ^. } \]
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00042433
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