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Torsional waves produced by a semi‐infinite needle‐like torque source
Author(s) -
Watanabe K.
Publication year - 2015
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201400043
Subject(s) - torque , physics , mechanics , singularity , displacement (psychology) , inverse , transient (computer programming) , symmetry (geometry) , enhanced data rates for gsm evolution , classical mechanics , mathematical analysis , mathematics , geometry , engineering , computer science , psychology , telecommunications , psychotherapist , thermodynamics , operating system
A transient torsional response of an elastic solid is discussed. Introducing a semi‐infinite needle‐like torque source, exact closed form expressions for torsional displacement and stress are obtained. Due to the needle‐like shape of the source, two waves are produced. One is a cylindrical wave centered at its symmetry axis and the other is a spherical one centered at the edge of the needle source. The cylindrical wave shows the inverse square root singularity at its front, but the spherical wave does a finite jump at the front. Some additional discussions for the static response to the torque source are also carried out. The proposed needle‐like torque source might be used as a primary model for the bore drilling technology.