Microscopic and Mesoscopic Evaluations of Materials. Hierarchical Modelling and Local Stress Analysis of Composite Materials and Structures.

Takano, Naoki; Kashiwagi, Yukio; Ohnishi, Yoshihiro; Zako, Masaru

doi:10.1299/kikaia.65.498

Cited by 2 publications

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“…Instead, the finite element mesh superposition method is used together with the homogenized model. It was firstly proposed by Fish (Fish, 1992) for mesh refinement (Takano, et al, 1999, Park, et al, 2003, and applied to the multiscale problems for heterogeneous materials, local crack, inclusion and interface problems (Takano, et al, 2000, Okada, et al, 2005 Kikuchi, et al, 2013, Kamaya, et al, 2013. Moreover, one of the authors have proposed a new technique to use this method in combination with a homogenization model Okuno, 2004, Kawagai, et al, 2006).…”

Section: Object and Purpose Of Analysismentioning

confidence: 99%

“…To solve this problem, this paper utilized the multiscale computational methods, i.e., asymptotic homogenization method (Lions, 1981, Guedes andKikuchi, 1990) and finite element mesh superposition method (or s-version FEM) (Fish, 1982, Takano, et al, 1999, Takano and Okuno, 2004 to analyze microscopic stress around acetabular cup implant in THA. The microstructure model of trabecular bone was obtained by micro-CT with 0.017 mm resolution.…”

Section: Introductionmentioning

confidence: 99%

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Multiscale stress analysis of trabecular bone around acetabular cup implant by finite element mesh superposition method

Tsukino¹,

Takano²,

Michel

et al. 2015

Mechanical Engineering Letters

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Microscopic stress was calculated with 0.017 mm resolution in a macroscopic model with approximately 100 mm size using the finite element mesh superposition method. To bridge the large gap in resolution, an intermediate finite element model was newly used. This multiscale computational procedure was applied to the biomechanical problem to analyze the microscopic stress in the trabecular bone around acetabular cup implant in total hip arthroplasty, which occurs by direct contact of the implant with trabecular bone. In the microstructural modeling of highly porous media such as the trabecular bone, special attention was paied to the boundary of microstructure model for both homogenization procedure and mesh superposition procedure. Three demonstrative numerical results revealed that higher stress occured at microscale due to macroscopic stress concentration, which is hardly estimated by only bone volume fraction.

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