首页|Multiscale analysis-based peridynamic simulation of fracture in porous media
Multiscale analysis-based peridynamic simulation of fracture in porous media
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The simulation of fracture in large-scale structures made of porous media remains a challenging task.Current techniques either assume a homogeneous model,disregarding the microstructure characteristics,or adopt a micro-mechanical model,which incurs an intractable computational cost due to its complex stochastic geometry and physical properties,as well as its nonlinear and multiscale features.In this study,we propose a multiscale analysis-based dual-variable-horizon peridynamics(PD)model to efficiently simulate macroscopic structural fracture.The influence of microstructures in porous media on macroscopic structural failure is represented by two PD parameters:the equivalent critical stretch and micro-modulus.The equivalent critical stretch is calculated using the microscale PD model,while the equivalent micro-modulus is obtained through the homogenization method and energy density equivalence between classical continuum mechanics and PD models.Numerical examples of porous media with various microstructures demonstrate the validity,accuracy,and efficiency of the proposed method.
Zihao YANG、Shangkun SHEN、Xiaofei GUAN、Xindang HE、Junzhi CUI
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School of Mathematics and Statistics,Northwestern Polytechnical University,Xi'an 710072,China
School of Mathematical Sciences,Tongji University,Shanghai 200092,China
School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi'an 710072,China
LSEC,ICMSEC,Academy of Mathematics and Systems Science,CAS,Beijing 100190,China
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中国科学院战略规划重点项目重庆市自然科学基金国家自然科学基金上海市自然科学基金Interdisciplinary Project in Ocean Research of Tongji University and the Fundamental Research Funds for the Central Universi