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水力劈裂问题的态型近场动力学建模
State-based peridynamic modeling for hydraulic fracture
投稿时间:2017-10-09  修订日期:2017-12-17
DOI:
中文关键词:  水力劈裂  裂纹扩展  态型近场动力学  接触
英文关键词:hydraulic fracture  crack propagation  state-based peridynamics  contact
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目)
作者单位E-mail
张钰彬 河海大学力学与材料学院 z_yubin@foxmail.com 
刘一鸣 河海大学力学与材料学院  
黄丹 河海大学力学与材料学院 danhuang@hhu.edu.cn 
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中文摘要:
      本文初步将态型近场动力学理论引入到水力劈裂问题的模拟,构建了能反映岩土类准脆性材料断裂特征的态型近场动力学本构模型,并在物质点间相互作用力模型中加入等效水压力项,以实现在新生裂纹面上跟踪施加水压力。同时,考虑裂纹面间的接触,引入物质点间的短程排斥力作用,并设计了相应的接触算法。通过自编程序实现,应用于含初始裂纹、不含初始裂纹以及含坝基软弱结构面的混凝土重力坝在高水头作用下的水力劈裂过程模拟,并与扩展有限元等模拟结果对比,对模型和算法进行了验证。
英文摘要:
      The state-based peridynamic theory is introduced into solving hydraulic fracture problems. A nonlocal constitutive model which can describe the fracture characteristics of rock and concrete-like quasi-brittle materials is proposed based on the state-based peridynamic theory, and in which an equivalent hydraulic pressure term is embedded in order to track the fluid pressure on the new-born crack surfaces. Considering the contact between surfaces of cracks, a short-range repulsive force between material points is implemented and corresponding contact algorithms are developed. The proposed model and algorithms were validated through simulating the hydraulic fracture of typical concrete gravity dams in different loading cases, and comparing the numerical results with extended finite element results.
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