Abstract
A one dimensional continuum formulation for the initiation and growth of adiabatic shear bands is reviewed, including some remarks on the underlying assumptions. A short description of some perturbation calculations introduces the idea of stress collapse and band formation as a bifurcation from homogeneous deformation. An approach for estimating the critical time of collapse for infinitesimal perturbations is introduced. Steady solutions are exhibited and their interpretation as central boundary layers is suggested. Finally it is shown that in a certain limit shear bands occur following a hyperbolic to elliptic transition in the governing equation. In a concluding remark dipolar plasticity is introduced as a possible alternative continuum description.
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References
Material Aspects, Occurance and Qualitative Description
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© 1987 Springer-Verlag New York Inc.
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Wright, T.W. (1987). Some Aspects of Adiabatic Shear Bands. In: Antman, S.S., Ericksen, J.L., Kinderlehrer, D., Müller, I. (eds) Metastability and Incompletely Posed Problems. The IMA Volumes in Mathematics and Its Applications, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8704-6_22
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DOI: https://doi.org/10.1007/978-1-4613-8704-6_22
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