Systematization of stochastic multiscale theory, study on its applications and development of practical system

2015 Fiscal Year Final Research Report

• Project/Area Number: 24360047
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Partial Multi-year Fund
• Section: 一般
• Research Field: Materials/Mechanics of materials
• Research Institution: Keio University
• Principal Investigator: Takano Naoki 慶應義塾大学, 理工学部, 教授 (10206782)
• Co-Investigator(Kenkyū-buntansha): MATSUDA Tetsuya 筑波大学, システム情報系, 准教授 (90345926) ; TAWARA Daisuke 龍谷大学, 理工学部, 講師 (20447907)
• Co-Investigator(Renkei-kenkyūsha): NAKANO Haruhisa 昭和大学, 歯学部, 准教授 (80297035)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Keywords: マルチスケール法 / 確率均質化法 / モンテカルロ法 / サンプリング / 複合材料 / 多孔質材料 / 海綿骨 / 画像相関法

Outline of Final Research Achievements

For the multiscale modeling of hierarchical architecture of industrial materials and biological tissues considering the uncertainties and/or variability at the microscale, a systematic mathematical modeling methodology for stochastic multiscale analysis and computational method using first-order perturbation based stochastic homogenization method have been developed. This new method was applied to spherical porous material, coated particulate composite material and porous human trabecular bone. Together with the prediction of variability of macroscopic properties, a robust design method using the probabilistic sensitivity analysis and an update method of predicted properties using measured data have been proposed and found to be effective. In the limited application to porous materials, practical use of the developed stochastic multiscale computational method has been achieved by implementing it to commercial software VOXELCON.

Free Research Field

材料力学、計算力学、生体力学、複合材料