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Visioplasticity solution of deformation problems: Data handling procedures
Author(s) -
Moore C.,
Vickers G. W.,
Dwivedi S. N.
Publication year - 1983
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.1620190207
Subject(s) - smoothing , metalworking , displacement (psychology) , grid , position (finance) , orthogonalization , deformation (meteorology) , eigenstrain , polynomial , plane stress , mathematics , plane (geometry) , computer science , mathematical analysis , algorithm , structural engineering , geometry , engineering , mechanical engineering , finite element method , materials science , psychology , residual stress , finance , economics , composite material , psychotherapist , statistics
Procedures for smoothing experimentally determined displacement fields are presented such that dynamic, non‐steady‐state metalworking processes can be analysed using the visioplasticity method. The procedure establishes a rectangular grid in which strain, strain rate and stress values may optionally be obtained at all points on the grid. The condition of material continuity is automatically satisfied by constraints during polynomial smoothing in position and time, using the Gram‐Schmidt orthogonalization technique. Examples are given of quasi‐static and dynamic plane strain upsetting operations.