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Finite element method combined with dynamic photoelastic analysis to determine dynamic stress-intensity factors

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Abstract

The present paper is addressed to the finite element method combined with dynamic photoelastic analysis of propagating cracks, that is, on the basis of [1] by Chien Wei-zang, finite elements which incorporate the propagating crack-tip singularity intrinsic to two-dimensional elasticity are employed. The relation between crack opening length and time step obtained from dynamic photoelastic analysis is used as a definite condition for solving the dynamic equations and simulating the crack propagations as well. As an example, the impact response of dynamic-bending-test specimen is investigated and the dynamic stressintensity factor obtained from the mentioned finite element analysis and dynamic photoelasticity is in reasonable agreement with each other.

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References

  1. Chien Wei-zang, Finite element method incorporated with singular terms to determine stress-intensity factors,Applied Mathematics and Mechanics Treatise, Jiangsu Scientific Publishing House (1980). (in Chinese)

  2. Rice, J.R., Mathematical analysis in mechanics of fracture,Fracture,2, (1968), 191–311.

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  3. Desai, C.S. and J.F. Abel,Introduction to the Finite Element Method, Chapter IV, Van Nostrand Reinhold Co., New York (1972).

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai

    Ning Jie & Chien Wei-zang

Authors
  1. Ning Jie
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  2. Chien Wei-zang
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Additional information

Finally, my special thanks go to Prof. Chien Wei-zang for his kind guidance and I would like to express my thanks to Mr. Pang Jin-xiang for conducting the successful experiment.

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Jie, N., Wei-zang, C. Finite element method combined with dynamic photoelastic analysis to determine dynamic stress-intensity factors. Appl Math Mech 10, 909–914 (1989). https://doi.org/10.1007/BF02017516

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  • DOI: https://doi.org/10.1007/BF02017516

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