TY - JOUR
T1 - Sobolev Gradient Type Preconditioning for the Saint-Venant Model of Elasto-Plastic Torsion
AU - Faragό , I.
AU - Karátson , J.
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 206
EP - 221
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/807.html
KW - elasto-plastic torsion, nonlinear elliptic problem, iterative solution, Laplacian preconditioner.
AB - <p style="text-align: justify;">In this paper a suitable Laplacian preconditioner is
proposed for the numerical solution of the nonlinear elasto-plastic
torsion problem. The aim is to determine the tangential stress in
cross-sections under a given torsion, for which the physical model is
based on the Saint Venant model of torsion and the single curve
hypothesis for the connection of strain and stress. The proposed
iterative solution of the arising nonlinear elliptic problem is achieved
by combining the advantages of Laplacian preconditioners with the
qualitatively favourable aspects of the strong formulation. Error
estimate is given for the convergence of the method. Finally, a
numerical example is given.</p>