On The Calculus of a Double Articulated Buckling Bar on Elastic Environment through Transfer-Matrix Method with Applications for Dental Implants

Studies related to the methods and materials used for dental implants have been developed. This work presents an original idea, to assimilate the dental implant as a buckling double articulated bar on elastic environment, the mandibular bone being assimilated as an elastic environment. The buckling bar is treated through the Transfer-Matrix Method, that is very easy to program and gives results very quickly for problems of optimizing the form of some pieces must be solved, in occurrence, of dental implants. The most important material used for dental implants is titanium and its alloys, because it has good durability, it is resistant to corrosion and its most important characteristic is biocompatibility. Risks of buckling are higher for straight bars compressed with an axial force, that is very important to know the critical buckling force, that is important for the dental implant too. This study was done in two steps. In the first step it is considered the buckling double articulated bar on a rigid environment. The second step consisted in studying the same doubly articulated bar that the joint at the lower end of the bar is on an elastic environment, the bone in which the implant is placed being considered as an elastic environment. This work will serve to future research about dental implants.