Stochastic homogenization analysis of FIB-SEM image-based hierarchical model of sprayed porous ZrO₂

Stochastic Multi-Scale Finite Element Analysis of the Drilling Force of Trabecular Bone During Oral Implant Surgery

“…The modified FPSH technique can predict large scattering of Young's modulus in mandibular trabecular bone by random parameters as probabilistic characteristics. We also reported that the FPSH could be adapted to porous materials, and its applicability was confirmed [Miyauchi et al, 2015]. Using the FPSH technique and the force-sensitive device, prediction of the relation between the drilling force and drilling depth, and determining the changes in the drilling force caused by changes in bone quality, could be established.…”

Parameterization, statistical measurement and numerical modeling of fluctuated meso/micro-structure of plain woven fabric GFRP laminate for quantification of geometrical variability

“…The former means the parameters to express the uncertainty in the elastic moduli of fiber, fiber bundle and matrix resin. One of the authors has so far presented the formulation of first-order perturbation based stochastic homogenization (FPSH) method and its applications to porous material (Miyauchi, et al, 2015 and particulate embedded composite materials (Wen, et al, 2016). The main contribution of this paper lies in the parameterization of geometrical features of plain woven fabric composite laminate made by hand layup and the model generation algorithm based on the statistically measured data.…”

“…Finally, a nesting function is defined to generate realistic RVE (representative volume element) models of woven fabric composite laminate. The fiber bundles are subdivided into sub-regions that have different fiber volume fraction called microscopic fiber volume fraction, Hagiwara, Ishijima, Takano, Ohtani and Nakai, Mechanical Engineering Journal, Vol.4, No.4 (2017) denote the probabilistic density function, and the following equations express the stochastic modeling of the elastic tensor of composite and constituent materials (Basaruddin, et al, 2013, Miyauchi, et al, 2015. Note here that different type of distribution can be calculated using the characteristic displacements, which is specific in the conventional homogenization theory.…”

Numerical prediction of scattered initial fracture load of perforated thin plate under tension by Monte Carlo FEM simulation with stepwise limited sampling

“…However, its computational cost is generally huge because many random sampling points should be calculated. To reduce the computational cost, we can find many studies on the probabilistic FEM recently (Stavroulakis, et al, 2014, Miyauchi, et al, 2015. When, first-order perturbation based scheme was used, the drawback is that large scattering can't be solved accurately.…”