水力劈裂问题的态型近场动力学建模

将态型近场动力学理论引入水力劈裂问题的模拟。构建了能反映岩土类材料准脆性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。通过自编程序将模型和算法应用于含初始裂纹、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,验证了本文模型和算法的可行性和准确性。

State-based peridynamic modeling for hydraulic fracture

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,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 are 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.