Doctoral Dissertations


De-Shin Liu


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.

Committee Member(s)

MacSithigh, G. P.
Koval, Leslie Robert
Moore, Robert E., 1930-2003
Haddock, Glen


Mechanical and Aerospace Engineering

Degree Name

Ph. D. in Engineering Mechanics


Partial support from the U.S. Army Research Office Contracts DAAG 29-85-K-0238, DAAL 03-88-K-0184 and the National Science Foundation grant MSM-8715952 to the University of Missouri-Rolla and directed by Dr. Batra is gratefully acknowledged.


University of Missouri--Rolla

Publication Date

Spring 1989

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

Note about bibliography

Includes bibliographical references.


© 1989 De-Shin Liu, All rights reserved.

Document Type

Dissertation - Restricted Access

File Type




Thesis Number

T 5870

Print OCLC #


Link to Catalog Record

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