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International Journal for Multiscale Computational Engineering

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ISSN Печать: 1543-1649

ISSN Онлайн: 1940-4352

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PERTURBATION-BASED STOCHASTIC MICROSCOPIC STRESS ANALYSIS OF A PARTICLE-REINFORCED COMPOSITE MATERIAL VIA STOCHASTIC HOMOGENIZATION ANALYSIS CONSIDERING UNCERTAINTY IN MATERIAL PROPERTIES

Том 9, Выпуск 4, 2011, pp. 395-408
DOI: 10.1615/IntJMultCompEng.v9.i4.40
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Краткое описание

This paper discusses stochastic multiscale stress analysis of a particle-reinforced composite material via the stochastic homogenization analysis. A microscopic random variation causes a random variation of a homogenized property and microscopic stress. For this stochastic stress analysis, a first-order perturbation-based approach is employed. The perturbation-based approach consists of stochastic homogenization, stochastic macroscopic, and microscopic stress analysis procedures. As an example, stochastic microscopic stress analysis for a microscopic random variation of a glass particle-reinforced composite material using the perturbation-based technique is performed. The obtained results are compared with the results of the Monte Carlo simulation; validity and application limit of the first-order perturbation-based approach is investigated.

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ЦИТИРОВАНО В
  1. SAKATA Sei-ichiro, ASHIDA Fumihiro, IWAHASHI Daiki, Stochastic Homogenization Analysis of a Particle Reinforced Composite Material using an Approximate Monte-Carlo Simulation with the Weighted Least Square Method, Journal of Computational Science and Technology, 7, 1, 2013. Crossref

  2. Sakata S., Okuda K., Ikeda K., Stochastic analysis of laminated composite plate considering stochastic homogenization problem, Frontiers of Structural and Civil Engineering, 9, 2, 2015. Crossref

  3. SAKATA Sei-ichiro, KOBAYASHI Susumu, Polynomial-based Approximate Inverse Stochastic Homogenization Analysis of a Particle Reinforced Composite Material Considering Correlated Multiple Microscopic Random Variations, Journal of Smart Processing, 5, 1, 2016. Crossref

  4. Wu Feng, Gao Qiang, Xu Xiao-Ming, Zhong Wan-Xie, A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method, Latin American Journal of Solids and Structures, 12, 13, 2015. Crossref

  5. Sakata Sei-ichiro, Adaptive Strategy for Stochastic Homogenization and Multiscale Stochastic Stress Analysis, in Multiscale Modeling and Uncertainty Quantification of Materials and Structures, 2014. Crossref

  6. SAKATA Sei-ichiro, ASHIDA Fumihiro, OHSUMIMOTO Ken-ichi, A Multiscale Stochastic Stress Analysis of a Heterogeneous Material considering Nonuniform Microscopic Random Variation, Journal of Computational Science and Technology, 7, 2, 2013. Crossref

  7. Sakata S., Ashida F., Hierarchical stochastic homogenization analysis of a particle reinforced composite material considering non-uniform distribution of microscopic random quantities, Computational Mechanics, 48, 5, 2011. Crossref

  8. Sakata S., Chan Y., Arai Y., On accuracy improvement of microscopic stress/stress sensitivity analysis with the mesh superposition method for heterogeneous materials considering geometrical variation of inclusions, International Journal for Numerical Methods in Engineering, 121, 3, 2020. Crossref

  9. Sakata Sei-ichiro, Sakamoto Takuro, A Local Sensitivity-Based Multiscale Stochastic Stress Analysis of a Unidirectional Fiber-Reinforced Composite Material Considering Random Location Variation of Multifibers, ASCE-ASME J Risk and Uncert in Engrg Sys Part B Mech Engrg, 5, 3, 2019. Crossref

  10. Sakata Sei‐ichiro, Tanimasu Shin, Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation, International Journal for Numerical Methods in Engineering, 123, 2, 2022. Crossref

  11. Sakata S., Ashida F., Ohsumimoto K., Stochastic homogenization analysis of a porous material with the perturbation method considering a microscopic geometrical random variation, International Journal of Mechanical Sciences, 77, 2013. Crossref

  12. Sakata Sei-ichiro, Torigoe Itaru, A successive perturbation-based multiscale stochastic analysis method for composite materials, Finite Elements in Analysis and Design, 102-103, 2015. Crossref

  13. Sakata S., Ashida F., Enya K., A Microscopic failure probability analysis of a unidirectional fiber reinforced composite material via a multiscale stochastic stress analysis for a microscopic random variation of an elastic property, Computational Materials Science, 62, 2012. Crossref

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