Accuracy of the finite element method near a curved boundary

Dental implant induced bone remodeling and associated algorithms

“…Most FEA studies assumed that osseointegration of the bone-implant interface is 100%, which indicates that the trabecular and cortical bones are perfectly bonded to the implant surface (Krauthammer, 1979;Menicucci et al, 1998). However, this assumption does not appear realistic for the clinical conditions where an imperfect bond could be present (Wadamoto et al, 1996).…”

“…This pocket will manifest itself as an entrapment for bacteria, thereby causing inflammation and subsequent tissue loss. It was suggested that the first radiological sign of dental implant failure is the development of angular bone loss around the neck of the implant (Lindquist et al, 1988;Krauthammer, 1979). FE models have been developed to investigate the effect of bone loss on mechanical responses (Kitamura et al, 2004;Akca and Cehreli, 2006;Baggi et al, 2008).…”

“…There are three approaches to meshing an FE model as follows (Krauthammer, 1979;Teixeira et al, 1998;Li et al, 2004;Field et al, 2008):…”

Shape optimization in laminated composite plates

“…where N is the number of plies and O~ denotes the failure function in the Ith ply. Attempts to use (22) were not successful. It led to large, nonconvergent oscillations in the design boundary, and so FPF was not pursued.…”

“…The dimensions are such that infinite plate solutions can be used. For the isotropic case, the dimensional recommendations of Krauthammer [22] have been followed. For the anisotropie case, the dimensions are based on the work of Nuismer and Whitney [23] who used analytic results from Lekhnitskii's book [24].…”