Phase field modelling of crack propagation, branching and coalescence in rocks

被引:295
作者
Zhou, Shuwei [3 ,4 ]
Zhuang, Xiaoying [4 ,5 ]
Zhu, Hehua [4 ]
Rabczuk, Timon [1 ,2 ]
机构
[1] Ton Duc Thang Univ, Div Computat Mech, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Civil Engn, Ho Chi Minh City, Vietnam
[3] Bauhaus Univ Weimar, Inst Struct Mech, D-99423 Weimar, Germany
[4] Tongji Univ, Coll Civil Engn, Dept Geotech Engn, Shanghai 200092, Peoples R China
[5] Leibniz Univ Hannover, Inst Continuum Mech, D-30167 Hannover, Germany
关键词
Phase field; Rock; COMSOL; Crack propagation; Crack branching; ADAPTIVE MULTISCALE METHOD; PHANTOM-NODE METHOD; MESHFREE METHOD; ABAQUS IMPLEMENTATION; MULTIPLE FLAWS; DAMAGE MODEL; SHEAR BANDS; FRACTURE; ELEMENT; PERIDYNAMICS;
D O I
10.1016/j.tafmec.2018.04.011
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the elastic energy, which drives the evolution of the phase field. Then, numerical simulations of notched semi-circular bend (NSCB) tests and Brazil splitting tests are performed. Subsequently, crack propagation and coalescence in rock plates with multiple echelon flaws and twenty parallel flaws are studied. Finally, complex crack patterns are presented for a plate subjected to increasing internal pressure, the (3D) Pertersson beam and a 3D NSCB test. All results are in good agreement with previous experimental and numerical results.
引用
收藏
页码:174 / 192
页数:19
相关论文
共 61 条
  • [1] Phase-field modeling of fracture in linear thin shells
    Amiri, F.
    Millan, D.
    Shen, Y.
    Rabczuk, T.
    Arroyo, M.
    [J]. THEORETICAL AND APPLIED FRACTURE MECHANICS, 2014, 69 : 102 - 109
  • [2] XLME interpolants, a seamless bridge between XFEM and enriched meshless methods
    Amiri, F.
    Anitescu, C.
    Arroyo, M.
    Bordas, S. P. A.
    Rabczuk, T.
    [J]. COMPUTATIONAL MECHANICS, 2014, 53 (01) : 45 - 57
  • [3] [Anonymous], 2005, FRACTURE MECH FUNDAM
  • [4] Steiner-point free edge cutting of tetrahedral meshes with applications in fracture
    Areias, P.
    Rabczuk, T.
    [J]. FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2017, 132 : 27 - 41
  • [5] Phase-field analysis of finite-strain plates and shells including element subdivision
    Areias, P.
    Rabczuk, T.
    Msekh, M. A.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 312 : 322 - 350
  • [6] Damage and fracture algorithm using the screened Poisson equation and local remeshing
    Areias, P.
    Msekh, M. A.
    Rabczuk, T.
    [J]. ENGINEERING FRACTURE MECHANICS, 2016, 158 : 116 - 143
  • [7] Finite strain fracture of 2D problems with injected anisotropic softening elements
    Areias, P.
    Rabczuk, T.
    Camanho, P. P.
    [J]. THEORETICAL AND APPLIED FRACTURE MECHANICS, 2014, 72 : 50 - 63
  • [8] Element-wise fracture algorithm based on rotation of edges
    Areias, P.
    Rabczuk, T.
    Dias-da-Costa, D.
    [J]. ENGINEERING FRACTURE MECHANICS, 2013, 110 : 113 - 137
  • [9] Finite strain fracture of plates and shells with configurational forces and edge rotations
    Areias, P.
    Rabczuk, T.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 94 (12) : 1099 - 1122
  • [10] ATKINSON C, 1982, INT J FRACTURE, V18, P279