# Analysis of orthogonal metal cutting processes

 dc.contributor.author Tyan, T. en_US dc.contributor.author Yang, Wei H. en_US dc.date.accessioned 2007-04-06T18:27:13Z dc.date.available 2007-04-06T18:27:13Z dc.date.issued 1992-03-15 en_US dc.identifier.citation Tyan, T.; Yang, Wei H. (1992)."Analysis of orthogonal metal cutting processes." International Journal for Numerical Methods in Engineering 34(1): 365-389. en_US dc.identifier.issn 0029-5981 en_US dc.identifier.issn 1097-0207 en_US dc.identifier.uri https://hdl.handle.net/2027.42/50099 dc.description.abstract The orthogonal metal cutting process for a controlled contact tool is simulated using a limit analysis theorem. The basic principles are stated in the form of a primal optimization problem with an objective function subjected to constraints of the equilibrium equation, its static boundary conditions and a constitutive inequality. An Eulerian reference co-ordinate is used to describe the steady state motion of the workpiece relative to the tool. Based on a duality theorem, a dual functional bounds the objective functional of the primal problem from above by a sharp inequality. The dual formulation seeks the least upper bound and thus recovers the maximum of the primal functional theoretically. A finite element approximation of the continuous variables in the dual problem reduces it to a convex programming. Since the original dual problem admits discontinuous solutions in the form of bounded variation functions, care must be taken in the finite element approximation to account for such a possibility. This is accomplished by a combined smoothing and successive approximation algorithm. Convergence is robust from any initial iterate. Results are obtained for a wide range of control parameters including cutting depth, rake angle, rake length and friction. The converged solutions provide information on cutting force, chip thickness, chip stream angle and shear angle which agree well both in values and trend with the published data. But the available data represent only a small subset in the range of parameters exhaustively investigated in this paper. en_US dc.format.extent 1471831 bytes dc.format.extent 3118 bytes dc.format.mimetype application/pdf dc.format.mimetype text/plain dc.publisher John Wiley & Sons, Ltd en_US dc.subject.other Engineering en_US dc.subject.other Engineering General en_US dc.title Analysis of orthogonal metal cutting processes en_US dc.type Article en_US dc.rights.robots IndexNoFollow en_US dc.subject.hlbsecondlevel Engineering (General) en_US dc.subject.hlbsecondlevel Mechanical Engineering en_US dc.subject.hlbtoplevel Engineering en_US dc.description.peerreviewed Peer Reviewed en_US dc.contributor.affiliationum Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109, U.S.A. ; Graduate Student en_US dc.contributor.affiliationum Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109, U.S.A. ; Professor en_US dc.description.bitstreamurl http://deepblue.lib.umich.edu/bitstream/2027.42/50099/1/1620340122_ftp.pdf en_US dc.identifier.doi http://dx.doi.org/10.1002/nme.1620340122 en_US dc.identifier.source International Journal for Numerical Methods in Engineering en_US dc.owningcollname Interdisciplinary and Peer-Reviewed
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