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| Size effect and fractal geometry of micro--cracks for disordered materials |
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| 北京理工大学 |
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Cite this article:
. Size effect and fractal geometry of micro--cracks for disordered materials. Chin J Mater Res, 2004, 18(5): 549-555.
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Abstract Two--dimensional displacement discontinuity boundary element method was
applied to simulate the mechanical behavior of brittle disordered materials,
assuming that the specimens contain identical micro--crack density but with
different degrees of disorder of micro-crack size distributions. The
micro--mechanism for the size effect of the brittle or quasi--brittle
disordered materials is explained by a new point of view of fractal geometry.
The numerical simulation results are in good agreement with the Bazant size effect law.
The size effect, which is more significant as the degrees of
disorder of micro--crack size distribution increases, is related to not only the
micro--defects density, but also the degrees of disorder of micro--crack size
distribution. In addition, an empirical expression relating the fractal dimension
of fracture surface with initial fractal dimension was obtained, which can be
used to explain the micro--mechanism of size effect and the micro--crack evolution
processes more deeply.
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Received: 05 November 2004
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