Document Type

Thesis

Date of Award

10-31-1984

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

Bernard Koplik

Second Advisor

Harry Herman

Third Advisor

Benedict C. Sun

Abstract

The purpose of this study is to find the stresses developed in mandibular bone due to the occlusal loading of oral endosseous blade implants. Previous work done in this area was based on the theory of "Beam on Elastic Foundation". As the width/length ratio employed is approximately 0.65, the theory of "Plate on Elastic Foundation" used in this thesis is more appropriate. The mandibular bone acts as the foundation supporting the endosseous implants.

The analysis is complicated by the fact that the implants are irregular plates of varying thickness, the foundation modulus is a variable and the occlusal loading is a combination of axial and transverse forces together with a bending moment in the bucco-lingual direction. Finite-difference equations are used in this thesis. An evenly spaced mesh that fits all the boundaries of the implant would lead to a very large number of simultaneous equations. Hence the finite-difference equations are developed that can take into account the unevenly spaced mesh-points and the boundaries which have a normal at an angle to the x-y coordinate system.

Particular emphasis is placed upon identifying the most significant parameters in the determination of the state of stress. The foundation pressures are computed as the implant shape, the implant material, the foundation modulus and the occlusal forces are varied.

It is shown that the nature of the occlusal loading is the most significant factor. Even if a small bending moment is imposed, it will lead to high deflections and foundation pressures. The chewing force should be made to pass very close through the point of intersection between the alveolar ridge and the neutral axis of the implant. The implantologist should be aware of this fact and perform the surgical placement of the implant after carefully studying the shape of the jaw bone and the existing tooth which will be meshing with the implant.

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