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A finite element method of viscoelastic stress analysis with application to rolling contact problems
Author(s) -
De S. Lynch Francis
Publication year - 1969
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620010405
Subject(s) - viscoelasticity , finite element method , boundary value problem , constitutive equation , numerical analysis , stress (linguistics) , mathematics , character (mathematics) , mathematical analysis , mechanics , structural engineering , materials science , geometry , engineering , physics , linguistics , philosophy , composite material
Abstract A completely numerical method for steady state linear viscoelastic stress analysis is presented by means of the finite element approach. Numerical representations of the measured viscoelastic constitutive relations are used. This method is developed to obtain steady state solutions to mixed boundary value problems in which the character of the boundary conditions at a point changes with time. Such problems cannot be handled by direct application of the correspondence theorem. A numerical example of viscoelastic sheet rolling is presented along with an experimental verification of the solution by photo‐viscoelastic observations.