Download e-book for kindle: Application of the finite element method in implant by Jianping Geng

By Jianping Geng

ISBN-10: 3540737634

ISBN-13: 9783540737636

Part of the recent sequence, complicated issues in technological know-how and know-how in China, this ebook is designed to offer the required theoretical starting place to new clients of the finite point approach in implant dentistry, and express how either the implant dentist and dressmaker can reap the benefits of finite point research. the 1st half offers with the speculation of the finite aspect technique. containing the required mathematical concept yet written in order that readers from a dental heritage can simply comprehend. Then easy wisdom of implant dentistry is brought to readers from an engineering historical past. subsequent, dental implant purposes, and the serious problems with utilizing finite aspect research for dental implants are mentioned, by way of points of dental implant modeling. ultimately, well known advertisement finite aspect software program courses, ANSYS and ABACUS, are brought for dental finite point research. Dr J.P. Geng is a qualified implant dentist and has been an implant clothier for 15 years.

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The more elongation there is, the better the stability of the screw in place. Thus screw design is of significance and should allow a maximum torque to be introduced on the shank of the screw'^. Several authors^^"^^ have drawn attention to the fact that repeated loading and unloading cycles result in alternating contact and separation of components. Clinical findings of screw loosening and failure probably result from these separation events and from elevated strains in the screw. Another mechanism of screw loosening is based on the fact that no surface is completely smooth.

6 Action and Displacement Components the DOF of this element are of the same kind as Eqs. 4) for the truss member, with the difference that for the element, the {A} and {D} vectors are (6X 1) and stiffness matrix [K] is (6X6). However, it is unlike Eq. 5) that no theoretical method to determine the stiffness coefficients for a general triangle or any other shape exisxs. Other special techniques must be resorted to, as will be discussed in subsequent chapters. 1. 5. 2 Characteristics of Stiffness Matrix The characteristics of the member or element stiffness matrix, most of which may be deduced from Eq.

10b) 1. 6. 2 Computer Solution While the partitioning procedure described may be suitable for manual solution of small problems, obviously the reordering of the terms in, and partitioning of, largp vectors and matrices in computer solutions will be inefficient and time consuming. Instead, the equation set is retained as assembled. The action vector {Aa} is still modified to {Al } for the c known displacements according to Eq. 9a), but without rearranging the equations. The stiffness coefficients k, in the columns corresponding to the known displacements are set to zero as their effect has already been incorporated into the action vector.

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Application of the finite element method in implant dentistry by Jianping Geng

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