Analysis Of Shear Bands In A Dynamically Loaded Viscoplastic Cylinder Containing Two Rigid Inclusions


We study plane strain thermomechanical deformations of a hollow circular cylinder containing two rigid non-heat-conducting ellipsoidal inclusions placed on a radial line symmetrically with respect to the center. These inclusions can be viewed as precipitates or second phase particles in an alloy. The material of the cylinder is presumed to exhibit thermal softening, but strain and strain-rate hardening. The impact load applied on the inner surface of the cylinder is modeled by prescribing a radial velocity and zero tangential tractions at material particles situated on the inner surface. Rigid body motion of the inclusion is considered and no slip condition between the inclusion and the cylinder material is imposed. It is found that shear bands initiate from points adjacent to inclusion tips near the inner surface of the cylinder and propagate toward this surface. At inclusion tips near the outer surface of the cylinder, the maximum principal logarithmic strain and the temperature are high and the effective stress is low, but severe deformations there do not propagate outward. © 1993 Springer-Verlag.


Mechanical and Aerospace Engineering

Second Department

Civil, Architectural and Environmental Engineering

International Standard Serial Number (ISSN)

1619-6937; 0001-5970

Document Type

Article - Journal

Document Version


File Type





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Publication Date

01 Mar 1993