Solution control techniques or so-called path following techniques alleviate the numerical analyses of engineering problems considerably. While being indispensable for the passage of limit points on the solution path, they also permit to set up a fully automatic load incrementation procedure. The performance of a path following technique depends on the quality of the applied load estimation, adaptation and correction scheme. The second part of this two-part series of papers analyses different path following strategies with respect to their numerical efficiency. Examples are given in geometrically and physically non-linear analysis and an overall comparison is made between a number of subplane approaches which have been presented in Part I, as well as some classical arc-length procedures. Various choices for the control function are scrutinized. The efficiency and the applicability of the subplane control approach is illustrated and its superiority with respect to classical approaches is emphasized. Comments and recommendations on the choice of the control functions are given.
|Journal||International Journal for Numerical Methods in Engineering|
|Publication status||Published - 1999|
Geers, M. G. D. (1999). Enhanced solution control for physically and geometrically non-linear problems. Part II - Comparative performance analysis. International Journal for Numerical Methods in Engineering, 46(2), 205-230. https://doi.org/10.1002/(SICI)1097-0207(19990920)46:2%3C205::AID-NME669%3E3.0.CO;2-S, https://doi.org/10.1002/(SICI)1097-0207(19990920)46:2<205::AID-NME669>3.0.CO;2-S