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 - <p style="text-align: justify;">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.</p>