Shear Band Development In A Thermally Softening Viscoplastic Body
Plane strain thermomechanical deformations of a thermally softening viscoplastic body containing a rigid non-heat-conducting circular inclusion at the center are studied. The body is deformed in compression at a nominal strain rate of 5000 sec-1. The flow stress of the material of the body is assumed to decrease linearly with the rise in its temperature. Two different values of the thermal softening coefficient are considered. The rigid inclusion simulates the presence of second phase particles such as oxides or carbides in a steel and serves as a nucleus for the initiation of a shear band. It is found that the matrix material adjoining the rigid inclusion undergoes severe deformations. The strains in the matrix material near the inclusion surface and adjoining the horizontal axis are larger than that in the matrix material close to the vertical axis. Eventually, only bands along the main diagonals of the cross-section emerge. The speed of propagation of the contours of constant maximum principal logarithmic strain is found to vary from 11 to 420 m/sec. © 1991.
Z. G. Zhu and R. C. Batra, "Shear Band Development In A Thermally Softening Viscoplastic Body," Computers and Structures, vol. 39, no. 5, pp. 459 - 472, Elsevier, Jan 1991.
The definitive version is available at https://doi.org/10.1016/0045-7949(91)90054-P
Mechanical and Aerospace Engineering
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01 Jan 1991