“Plane strain thermomechanical deformations of a viscoplastic body are studied with the objective of analyzing the localization of deformation into narrow bands of intense straining. Two different loadings, namely, the top and bottom surfaces subjected to a prescribed tangential velocity, and these two surfaces subjected to a prescribed normal velocity are considered. For the simple shearing problem, a material defect, flaw or inhomogeneity is modeled by introducing a temperature bump at the center of the specimen. For the compression problem, the effect of modeling the material flaw by (a) introducing a temperature perturbation, and (b) assuming the existence of a weak material at the site of the defect is investigated. For the compression problem, the effect of two defects symmetrically placed on the vertical axis of the block and two different sets of initial conditions is also examined.
It is found that, irrespective of the way the material inhomogeneity is modeled, a shear band initiates from the site of the defect and propagates in the direction of maximum shearing. The value of the average strain at the instant of the initiation of the band depends upon the strength of the material defect introduced. Once the shear band reaches the boundaries of the block it is reflected back, the angle of reflection being nearly equal to the angle of incidence”--Abstract, page iii.
Batra, R. C.
MacSithigh, G. P.
Koval, Leslie Robert
Moore, Robert E., 1930-2003
Mechanical and Aerospace Engineering
Ph. D. in Engineering Mechanics
University of Missouri--Rolla
Journal article titles appearing in thesis/dissertation
Adiabatic shear banding in plane strain problems
Adiabatic shear banding in dynamic plane strain compression of a viscoplastic material
xiv, 77 pages
© 1989 De-Shin Liu, All rights reserved.
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Liu, De-Shin, "Dynamic adiabatic shear band development in plane strain deformations of a viscoplastic material" (1989). Doctoral Dissertations. 720.
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