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An Efficient Peridynamics Based Statistical Multiscale Method for Fracture in Composite Structure with Randomly Distributed Particles
Zihao Yang1, Shaoqi Zheng1, Fei Han2,*
1 School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China
2 Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China
* Corresponding Author: Fei Han. Email:
The International Conference on Computational & Experimental Engineering and Sciences 2023, 27(4), 1-1. https://doi.org/10.32604/icces.2023.09250
Abstract
This paper proposes a peridynamics-based statistical multiscale (PSM) framework to simulate the
macroscopic structure fracture with high efficiency. The heterogeneities of composites, including the shape,
spatial distribution and volume fraction of particles, are characterized within the representative volume
elements (RVEs), and their impact on structure failure are extracted as two types of peridynamic
parameters, namely, statistical critical stretch and equivalent micromodulus. At the microscale level, a bondbased peridynamic (BPD) model with energy-based micromodulus correction technique is introduced to
simulate the fracture in RVEs, and then the computational model of statistical critical stretch is established
through micromechanical analysis. Moreover, based on the statistical homogenization approach, the
computational model of effective elastic tensor is also established. Then, the equivalent micromodulus can
be derived from the effective elastic tensor, according to the energy density equivalence between classical
continuum mechanics (CCM) and BPD models. At the macroscale level, a macroscale BPD model with the
statistical critical stretch and the equivalent micromodulus is constructed to simulate the fracture in the
macroscopic homogenized structures. The algorithm framework of the PSM method is also described. Twoand three-dimensional numerical examples illustrate the validity, accuracy and efficiency of the proposed
method.
Keywords
Cite This Article
APA Style
Yang, Z., Zheng, S., Han, F. (2023). An efficient peridynamics based statistical multiscale method for fracture in composite structure with randomly distributed particles. The International Conference on Computational & Experimental Engineering and Sciences, 27(4), 1-1. https://doi.org/10.32604/icces.2023.09250
Vancouver Style
Yang Z, Zheng S, Han F. An efficient peridynamics based statistical multiscale method for fracture in composite structure with randomly distributed particles. Int Conf Comput Exp Eng Sciences . 2023;27(4):1-1 https://doi.org/10.32604/icces.2023.09250
IEEE Style
Z. Yang, S. Zheng, and F. Han "An Efficient Peridynamics Based Statistical Multiscale Method for Fracture in Composite Structure with Randomly Distributed Particles," Int. Conf. Comput. Exp. Eng. Sciences , vol. 27, no. 4, pp. 1-1. 2023. https://doi.org/10.32604/icces.2023.09250