A necessary modification for the finite element analysis of cracked members detection
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A necessary modification for the finite element analysis of cracked members detection
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A necessary modification for the finite element analysis of cracked members detection, construction, and justification

Author: A. Ranjbaran, H. Rousta, M. O. Ranjbaran, M. A. Ranjbaran, M. Hashemi, M. T. Moravej | Size: 362 KB | Format: PDF | Quality: Unspecified | Publisher: Springer | Year: 2013 | pages: 10


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The finite element analysis of cracked beam-like members is investigated. Through concise formulation,
computer implementation, and numerical experiment, the necessity for a paramount modification in
the governing differential equation is detected. In the course of numerical analysis, physical consideration,
and mathematical theory, the structure of the modification and its relation with the member geometry and
crack parameters is constructed and justified. Several new chain rules for use in the application of the method
of weighted residual to differential equations containing the derivatives of the Dirac’s delta distribution is
proposed. Through analysis of typical examples and comparison of the results with that of the others, the
accuracy, efficiency and robustness of the work are verified.

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