Javier Vallejo

Lagrange multipliers and the primal–dual method in the non‐linear static equilibrium of multibody systems

This paper presents four different approaches to the solution of the non-linear static-equilibrium problem in complex linkages, including rigid and elastic elements. The error function is based on the potential of the system, and includes rigid elements by means of non-linear constraints. To this end use is made of Lagrange multipliers, along with the primal-dual method, penalty functions and weighted stiffness, comparisons being made between them. A Newton-Raphson method is used in seeking function minima for equilibrium positions. This procedure is also directly applicable to the other linkage and multibody position problems.

Dental implants with conical implant-abutment interface: influence of the conical angle difference on the mechanical behavior of the implant.

PURPOSE Misfit in the conical implant-abutment interface plays an important role on the mechanical behavior of the implant when masticatory forces are applied. The origin of the misfit adopted in this work is a conical angle difference between implant and abutment, which can be due to a combination of design decisions and manufacturing tolerances. The goal of this work was to investigate the effects of the implant-abutment conical angle difference in the following mechanical features: interfacial microgap, preload loss on the bolt, stress level in the bone, and abutment removal force and/or torque. MATERIALS AND METHODS A simplified three-dimensional nonlinear monoparametric finite element model of an OsseoSpeed TX 4.5 S 9-mm implant (Astra Tech) with a tapered implant-abutment interface was built to evaluate the variability of the mechanical features cited above with the conical angle difference, keeping constant the overall geometry, load and boundary conditions, material properties, frictional behavior, and mesh structure. RESULTS As the conical angle difference increased, the following effects were observed: the microgap decreased and remained almost constant for values over a given positive angle difference, the stress level in the bone increased sensitively, the removal force and/or torque needed to separate the abutment from the implant varied slightly, and the bolt preload loss increased. CONCLUSIONS In light of the results provided, the conical angle difference in the implant-abutment interface had a significant influence on the overall mechanical behavior of the implant. Among the four mechanical features considered, the interfacial microgap and the bone stress were demonstrated to be the most sensitive to the conical angle difference, and therefore the most relevant when selecting an optimum value in the design process of a conical interface.

Experimental study of the removal force in tapered implant-abutment interfaces: a pilot study.

STATEMENT OF PROBLEM Conically tapered interface fits (TIF) provide a reliable and strong self-locking mechanism between a dental implant and its matching abutment. On occasion, it may be necessary to remove the abutment for maintenance purposes. The removal of an indexed implant with a TIF-type connection requires the application of a (removal) force to overcome the friction force due to preload. PURPOSE The purpose of this study was to measure the removal force needed to extract the abutment from the implant in TIF-type connections. MATERIAL AND METHODS A workbench was designed and built to measure the forces involved in the abutment removal process. Experiments were conducted to test the removal force (F(R)) for 20 conical interfaces specifically built for the study. The effects of the preload magnitude (F(P)) and the difference between the taper angles of the implant and the abutment (taper mismatch) were investigated experimentally and theoretically. A 2-way factorial ANOVA and regression analysis was used to evaluate the variability in the process and the influence of the 2 variables considered in the experiments (α=.05). RESULTS Experiments revealed that the (F(R)-F(P)) ratio decreases with the preload F(P), whereas the influence of the taper mismatch cannot be clearly stated. CONCLUSIONS The removal force increases with increasing preload and the F(R)-F(P) ratio varies widely. This variability is attributed to the variability of the friction coefficient, and it can influence implant-removal applications because the removal force can be, in some restorations, as large as 40% of the preload.

Influence of vertical misfit in screw fatigue behavior in dental implants: A three-dimensional finite element approach

Misfit is unavoidable in dental implant-supported prostheses due to machining process or inappropriate assembling, and the definition of an admissible misfit is still a controversial issue. This work aims to understand the behavior of the screws in dental implant-supported prostheses to estimate an admissible vertical misfit value in terms of screw fatigue failure. For that purpose, a finite element model of a dental implant-supported prosthesis was created and analyzed. Vertical misfits were introduced in different positions, the lower and upper screws were tightened to the bolting force values recommended by the manufacturer, and two different occlusal loads were analyzed. In addition, two different prosthesis materials were studied. Screw load variations were reported and a fatigue analysis was performed. As a result, it was observed that the screw tightening sequence closed small vertical misfits (equal to or less than 40 µm), whereas larger misfits (more than 40 µm) remained open. If the vertical misfit is closed by the end of the tightening sequence, it may be considered equivalent to the ideal fit situation in regard to screw fatigue failure. The prosthesis material had no significant influence on the fatigue behavior.