当前位置: X-MOL 学术Eng. Anal. Bound. Elem. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Smoothed point interpolation methods for phase-field modelling of pressurised fracture
Engineering Analysis With Boundary Elements ( IF 4.2 ) Pub Date : 2024-07-16 , DOI: 10.1016/j.enganabound.2024.105869
Eduarda Marques Ferreira , Larissa Novelli , Roque Luiz da Silva Pitangueira , Lapo Gori

The problem of hydraulic fracturing is of great relevance to various areas and is characterised by the occurrence of complex crack patterns with bifurcations and branches. For this reason, an interesting approach is the modelling of hydraulic fracture using a phase-field model. In addition to the discretisation using the Finite Element Method (FEM), some works have already explored the discretisation of the phase-field model with meshfree methods, including the Smoothed Point Interpolation Methods (SPIM) family. Seeking to take advantage of the good convergence results of SPIM for phase-field modelling of brittle fractures, this paper proposes the use of SPIM for phase-field modelling of pressurised fractures. In order to limit the computational cost, a prescribed SPIM-FEM coupling is employed, with the purpose of concentrating the meshless discretisation only in the regions of expected crack propagation. The model is characterised by a constant internal pressure load along the fracture that is applied indirectly from the formulation of the phase-field model. A series of numerical simulations is presented. The aim is to evaluate the proposed model, verify the results and point out characteristics of the phase-field model with internal pressure.

中文翻译:


受压裂缝相场建模的平滑点插值方法



水力压裂问题与各个领域都有很大关系,其特点是出现具有分叉和分支的复杂裂缝模式。因此,一种有趣的方法是使用相场模型对水力裂缝进行建模。除了使用有限元法 (FEM) 进行离散化之外,一些工作已经探索了使用无网格方法(包括平滑点插值法 (SPIM) 系列)对相场模型进行离散化。为了利用SPIM在脆性断裂相场建模中的良好收敛效果,本文提出使用SPIM进行受压裂缝相场建模。为了限制计算成本,采用了规定的 SPIM-FEM 耦合,目的是将无网格离散化仅集中在预期裂纹扩展的区域。该模型的特点是沿着裂缝的恒定内压载荷,该载荷是根据相场模型的公式间接施加的。提出了一系列数值模拟。目的是评估所提出的模型,验证结果并指出内压相场模型的特征。
更新日期:2024-07-16
down
wechat
bug