Boundary integral method for shape optimization of interface problems and its application to implant design in dentistry

✍ Scribed by Joo-Ho Choi; Boo-Youn Lee; Jung Suk Han

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 435 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(01)00269-9

✦ Synopsis

A boundary integral formulation for shape optimization is presented in linear elasticity problems with zoned-inhomogeneous bodies. Sensitivity formula for arbitrary functional with respect to the interface shape variation is derived based on a boundary integral identity. Analytic as well as numerical examples for the sensitivity analysis are presented to show the validity of the formulation. An optimum design problem to ®nd interface shape of endosseous implant in dentistry is studied under the objective of uniform stress at the interface between the implant and the bone. Though the problem involves numerous simpli®cations that may lead to the lack of reality, it is worthwhile to mention that the optimum shapes look similar to those of tooth roots. This may re¯ect a kind of natural optimum.