A note on the accuracy of stress-point algorithms for anisotropic elastic-plastic solids
Résumé
it is argued that, in order to be meaningful, an error analysis of stress-point algorithms for anisotropic elastic-plastic materials cannot be content to consider only those stress-increments that satisfy the rate plastic loading condition; it must also consider stress-increments that traverse the yield surface because they are observed to lead to the maximum errors, a point that has not been remarked so far. This requirement is illustrated for the Euler-backward and cutting plane algorithms applied to the orthotropic Hill's yield surface. In addition, the closed-form solution used in the error analysis is provided