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

Effects of Custom-Made and Thread Dental Implant Systems on the Stress Distribution in Alveolar Bone: A 3-Dimensional Finite Element Analysis

“…It was found for vertical and buccolingual oblique loads during chewing. Therefore, 100N static vertical load or different angle buccolingual oblique loads applied to the center of the crown [12][13][14][15][16]. The angle ϴ with respect to the long axis of the extraction socket were 15°, 30° and 45°.…”

Design sensitivity analysis and optimization of interface shape for zoned-inhomogeneous thermal conduction problems using boundary integral formulation

“…One can refer Burczynski [1], Lee [2], Choi et al [3] and Li et al [4] for a survey of research on the BEM-based SDSA. The methods can be classified into a semi-analytical and an analytical approach.…”

“…A cooling fin, a molding die, a composite tube and so on, consisting of several materials with different thermal conductivities can be examples of such problems. Choi et al [3] presented the SDSA of an interface problem as applied to implant design in dentistry. Their method uses the BIE formulation and is confined to the elasticity problem.…”

Interface shape identification of three-dimensional thermo-elastic composite structures consisting of dissimilar materials

“…， また Choi らによっ て応力最小化を目的とした境界積分法を用いた最適化手法を提案し， インプラント設計への応用を示された (Choi et al,2001) ．一方，分布系手法に関する研究として，Luo はレベルセット法を用いた二種材料で構成されるアク チュエータの変位出力のトポロジー最適化手法を提案しており (Luo, et al, 2013…”