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Computation of large shear deformations of a thermoplastic material
Author(s) -
French Donald A.
Publication year - 1996
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199605)12:3<393::aid-num5>3.0.co;2-j
Subject(s) - shearing (physics) , computation , adiabatic process , mathematics , thermal conduction , thermoplastic , thermal conductivity , shear (geology) , grid , thermal , deformation (meteorology) , mathematical analysis , mechanics , materials science , geometry , composite material , algorithm , thermodynamics , physics
A specialized finite difference method with grid refinement and variable time steps is created to approximate the deformation velocity and the temperature in a simple model of the shearing of a thermoplastic material. A specific problem where the solution exhibits “blowup” in the adiabatic case is considered. The numerical method retains this property and is used to study the shape of the “blowup” function. The code is then used to investigate the solution in the closely related case where thermal conduction is included with a small conductivity coefficient. The computations indicate that the solution does not “blowup” in the nonadiabatic case. © 1996 John Wiley & Sons, Inc.