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.
机构:
Helmholtz Zentrum Berlin Mat & Energie GmbH, Dept Microstruct & Residual Stress Anal, Albert Einstein Str 15, D-12489 Berlin, GermanySaarland Univ, Mat Sci & Methods, Campus D2 3, D-66123 Saarbrucken, Germany
Klaus, Manuela
Genzel, Christoph
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Helmholtz Zentrum Berlin Mat & Energie GmbH, Dept Microstruct & Residual Stress Anal, Albert Einstein Str 15, D-12489 Berlin, GermanySaarland Univ, Mat Sci & Methods, Campus D2 3, D-66123 Saarbrucken, Germany
机构:
Chinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R China
Florida Int Univ, Dept Earth Sci, Miami, FL 33199 USAChinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R China
Zhu, B. J.
Shi, Y. L.
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Chinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R China
Shi, Y. L.
Sukop, M. C.
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Florida Int Univ, Dept Earth Sci, Miami, FL 33199 USAChinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R China
Sukop, M. C.
Li, Y. B.
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Chinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R China
Chinese Acad Sci, Inst Geol & Geophys, Beijing 100029, Peoples R ChinaChinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R China
Li, Y. B.
Qin, T. Y.
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Chinese Agr Univ, Coll Sci, Beijing 100083, Peoples R ChinaChinese Acad Sci, Grad Univ, Lab Computat Geodynam, Coll Earth Sci, Beijing 100049, Peoples R China