Error Estimation of Infinite Element in Geotechnical Problems

In most seismic and geotechnical problems, for analysis of a region, at least one direction of the region extends to infinite. In usual methods of static analysis, for modeling infinite effects, domain over interestpoint needs to be considered big enough and the displacements to be fixed at boundary (Dirichlet boundary). In conventional methods of dynamic analysis, damping ratio may be supposed higher than material damping to avoid effects of receiving reflected wave from artificial boundary. Also, increasingdimensions of the region to be confident of those waves can’t touch the boundary and propagate inside again. In such cases increasing in degrees of freedom is not economical and the accuracy of the results is not guaranteed. An efficient method in showing effects of far field is implementation of Infinite Element. For this reason it is necessary to have sufficient knowledge of the method’s accuracy and the mechanism of importing errors in the results is the type of their decay functions

کلیدواژه ها:

Infinite element ، Infinite domain Numerical error ، Decay function