Self-driven tunneling crack arrays—a 3D-fracture mechanics bifurcation analysis

被引:0
|
作者
M. Hofmann
H. A. Bahr
T. Linse
U. Bahr
H. Balke
H. J. Weiss
机构
[1] Technische Universität Dresden,Institut für Festkörpermechanik
[2] Technische Universität Dresden,Institut für Theoretische Physik
[3] Fraunhofer-Institut für Werkstoff- und Strahltechnik,undefined
来源
International Journal of Fracture | 2006年 / 141卷
关键词
Fracture mechanics; Crack pattern selection; Bifurcation analysis;
D O I
暂无
中图分类号
学科分类号
摘要
Tunneling cracks driven by drying in a ceramic precursor confined between two glass plates represent a simple type of three-dimensional (3D) crack pattern. They arrange themselves via mutual unloading which causes some cracks to stop whereby the remaining ones get the right spacing for further propagation. By extending a 2D-model of self-driven propagation of crack arrays, a fracture mechanical bifurcation analysis for 3D-crack patterns based on calculating the post-critical contour of the alternating bifurcation mode has been developed. Shrinkage due to drying is replaced here by a simplified thermo-mechanical model based on an effective heat flow whose related temperature field and thermal stresses drive crack propagation. By means of the finite element method, the propagation velocity and the minimum spacing between the steady-state parallel tunnelling cracks are determined. Comparison of theory and experiment suggests that propagation may be non-stationary in these experiments. The observed relation between crack spacing and layer thickness, p ~ e2/3, follows from a scaling analysis.
引用
收藏
页码:345 / 356
页数:11
相关论文
共 49 条
  • [41] ANALYSIS TO THE STRESS CONSTRUCTION AT THE VICINITY OF CRACK TIP FOR MODE I FRACTURE IN 3-D STATE USING FINITE ELEMENT METHOD
    陈晓明
    官忠信
    庄嘉麟
    Applied Mathematics and Mechanics(English Edition), 1988, (06) : 603 - 610
  • [42] Virtual reassembling of 3D fragments for the data-driven analysis of fracture mechanisms in multi-component materials
    Wilhelm, Thomas
    Vo, Trang Thu
    Furat, Orkun
    Peuker, Urs Alexander
    Schmidt, Volker
    COMPUTATIONAL MATERIALS SCIENCE, 2024, 242
  • [43] A data-driven self-consistent clustering analysis for the progressive damage behavior of 3D braided composites
    He, Chunwang
    Gao, Jiaying
    Li, Hengyang
    Ge, Jingran
    Chen, Yanfei
    Liu, Jiapeng
    Fang, Daining
    COMPOSITE STRUCTURES, 2020, 249 (249)
  • [44] Ni/Al-Hybrid Cellular Foams: An Interface Study by Combination of 3D-Phase Morphology Imaging, Microbeam Fracture Mechanics and In Situ Synchrotron Stress Analysis
    Luksch, Jutta
    Jung, Anne
    Pauly, Christoph
    Derr, Ralf
    Gruenewald, Patrick
    Laub, Marc
    Klaus, Manuela
    Genzel, Christoph
    Motz, Christian
    Muecklich, Frank
    Schaefer, Florian
    MATERIALS, 2021, 14 (13)
  • [45] Analysis of 3D fluid driven crack propagation problem in co-seismic slip under P- and S-waves by hybrid hypersingular integral method
    Zhu, B. J.
    Shi, Y. L.
    Sukop, M. C.
    Li, Y. B.
    Qin, T. Y.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (30-32) : 2446 - 2469
  • [46] High-Temperature Fracture Mechanics Parameter Measurement and Yielding Zone Analysis of Superalloy GH4169 Based on Single-Lens 3D Digital Image Correlation
    Y. Yin
    L. Wu
    J. Li
    H. Xie
    Experimental Mechanics, 2019, 59 : 953 - 962
  • [47] High-Temperature Fracture Mechanics Parameter Measurement and Yielding Zone Analysis of Superalloy GH4169 Based on Single-Lens 3D Digital Image Correlation
    Yin, Y.
    Wu, L.
    Li, J.
    Xie, H.
    EXPERIMENTAL MECHANICS, 2019, 59 (07) : 953 - 962
  • [48] Data-Driven Correlation Analysis Between Observed 3D Fatigue-Crack Path and Computed Fields from High-Fidelity, Crystal-Plasticity, Finite-Element Simulations
    Pierson, Kyle D.
    Hochhalter, Jacob D.
    Spear, Ashley D.
    JOM, 2018, 70 (07) : 1159 - 1167
  • [49] Data-Driven Correlation Analysis Between Observed 3D Fatigue-Crack Path and Computed Fields from High-Fidelity, Crystal-Plasticity, Finite-Element Simulations
    Kyle D. Pierson
    Jacob D. Hochhalter
    Ashley D. Spear
    JOM, 2018, 70 : 1159 - 1167