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Volume 36, Issue 2
Stochastic Second-Order Two-Scale Method for Predicting the Mechanical Properties of Composite Materials with Random Interpenetrating Phase

Hao Dong, Zihao Yang, Xiaofei Guan & Zhiqiang Yang

DOI: 10.4208/cmr.2020-0007

Commun. Math. Res., 36 (2020), pp. 193-210.

Published online: 2020-05

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  • Abstract

In this paper, a stochastic second-order two-scale (SSOTS) method is proposed for predicting the non-deterministic mechanical properties of composites with random interpenetrating phase. Firstly, based on random morphology description functions (RMDF), the randomness of the material properties of the constituents as well as the correlation among these random properties is fully characterized through the topologies of the constituents. Then, by virtue of multiscale asymptotic analysis, the random effective quantities such as stiffness parameters and strength parameters along with their numerical computation formulae are derived by a SSOTS strategy combined with the Monte-Carlo method. Finally, the SSOTS method developed in this paper shows an excellent computational accuracy, and therefore presents an important advance towards computationally efficient multiscale modeling frameworks considering microstructure uncertainties.

  • Keywords

Mechanical properties, stochastic second-order two-scale method, random interpenetrating phase composites, strength properties.

  • AMS Subject Headings

65M60, 35Q74

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

donghao@mail.nwpu.edu.cn (Hao Dong)

guanxf@tongji.edu.cn (Xiaofei Guan)

  • BibTex
  • RIS
  • TXT
@Article{CMR-36-193, author = {Dong , HaoYang , ZihaoGuan , Xiaofei and Yang , Zhiqiang}, title = {Stochastic Second-Order Two-Scale Method for Predicting the Mechanical Properties of Composite Materials with Random Interpenetrating Phase}, journal = {Communications in Mathematical Research }, year = {2020}, volume = {36}, number = {2}, pages = {193--210}, abstract = {

In this paper, a stochastic second-order two-scale (SSOTS) method is proposed for predicting the non-deterministic mechanical properties of composites with random interpenetrating phase. Firstly, based on random morphology description functions (RMDF), the randomness of the material properties of the constituents as well as the correlation among these random properties is fully characterized through the topologies of the constituents. Then, by virtue of multiscale asymptotic analysis, the random effective quantities such as stiffness parameters and strength parameters along with their numerical computation formulae are derived by a SSOTS strategy combined with the Monte-Carlo method. Finally, the SSOTS method developed in this paper shows an excellent computational accuracy, and therefore presents an important advance towards computationally efficient multiscale modeling frameworks considering microstructure uncertainties.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2020-0007}, url = {http://global-sci.org/intro/article_detail/cmr/16928.html} }
TY - JOUR T1 - Stochastic Second-Order Two-Scale Method for Predicting the Mechanical Properties of Composite Materials with Random Interpenetrating Phase AU - Dong , Hao AU - Yang , Zihao AU - Guan , Xiaofei AU - Yang , Zhiqiang JO - Communications in Mathematical Research VL - 2 SP - 193 EP - 210 PY - 2020 DA - 2020/05 SN - 36 DO - http://doi.org/10.4208/cmr.2020-0007 UR - https://global-sci.org/intro/article_detail/cmr/16928.html KW - Mechanical properties, stochastic second-order two-scale method, random interpenetrating phase composites, strength properties. AB -

In this paper, a stochastic second-order two-scale (SSOTS) method is proposed for predicting the non-deterministic mechanical properties of composites with random interpenetrating phase. Firstly, based on random morphology description functions (RMDF), the randomness of the material properties of the constituents as well as the correlation among these random properties is fully characterized through the topologies of the constituents. Then, by virtue of multiscale asymptotic analysis, the random effective quantities such as stiffness parameters and strength parameters along with their numerical computation formulae are derived by a SSOTS strategy combined with the Monte-Carlo method. Finally, the SSOTS method developed in this paper shows an excellent computational accuracy, and therefore presents an important advance towards computationally efficient multiscale modeling frameworks considering microstructure uncertainties.

Dong , HaoYang , ZihaoGuan , Xiaofei and Yang , Zhiqiang. (2020). Stochastic Second-Order Two-Scale Method for Predicting the Mechanical Properties of Composite Materials with Random Interpenetrating Phase. Communications in Mathematical Research . 36 (2). 193-210. doi:10.4208/cmr.2020-0007
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