Two dimensional adaptive pseudo-spectral methods with applications to shear band formation

D. A. Lott-Crumpler*, Alvin Bayliss, Ted Belytschko

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


We employ a two dimensional adaptive Chebyshev pseudo-spectral method for the numerical computation of isothermal shear bands. In the method two dimensional coordinate transformations are employed to provide high resolution of the band with a small number of computational degrees of freedom. The method is used to study both the dynamics of band formation and the spatial structure of the resulting bands. We study in particular the role of the shape of the imperfection on shear band structure and evolution. The results demonstrate that during the early stages of band formation both the orientation and shape of the band are sensitive to the imperfection, while during the later stages of band formation the band is not sensitive to the shape of the imperfection.

Original languageEnglish (US)
Pages (from-to)179-192
Number of pages14
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - Dec 1 1994
EventProceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA
Duration: Nov 6 1994Nov 11 1994

ASJC Scopus subject areas

  • Mechanical Engineering

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