Numerical-analytic computing method of the kinetics of fatigue crack propagation in the thin plates
DOI:
https://doi.org/10.17721/1812-5409.2024/1.11Keywords:
fatigue crack, damage, thin plate, asymmetric load cycle, uniaxial tension-compressionAbstract
Fatigue failure is one of the main reasons for the sudden failure of critical elements of modern structures. Therefore, the development of methods for predicting the kinetics of fatigue crack propagation is an important task of mechanics. A promising way to solve this problem is to build a theoretical model of fatigue crack propagation, where the process of damage accumulation is considered the driving force. This paper aims to develop a numerical-analytical solution for predicting the kinetics of fatigue crack propagation in a thin isotropic plate with a central crack under uniaxial asymmetric cyclic loading, taking into account the influence of accumulated damage along the crack line and experimental validation of the results. The solution is based on a theoretical two-stage model of fatigue crack propagation, which combines concepts of fracture mechanics and continuum damage mechanics, and equivalent stresses concept under asymmetric cyclic loading. The fatigue crack tip zone is considered according to the modified Dagdale model. The task is reduced to a solution integral equation of fatigue crack propagation. An approximate analytical solution is obtained using Laplace transform properties. The numerical solution, obtained by the recursion method, allows for the consideration of damage accumulation over time along the crack line. The calculation results using approximate analytical and numerical methods for a thin aluminium alloy 7075-T6 plate with I mode crack under uniaxial asymmetric tension-compression loading satisfactorily agree with the experimental data. Considering the level of accumulated damage over time leads to an increase in the calculated crack propagation rate.
Pages of the article in the issue: 62 - 65
Language of the article: Ukrainian
References
Golub V. Р., Plashchinskaya A.В. (2018). On the theory of the growth of fatique mode I cracks in thin isotropic plates of finite size under uniaxial tension-compression. International Applied Mechanics, 54 (2), 188-206.
Rice J. R. (1967). Mechanics of crack tip deformation and extension by fatigue. ASTM STP 415, Fatigue Crack Propagation, 247-309.
Hudson C. M, SCARDINA J. T. (1967). Effect of stress ratio on fatigue crack growth in 7075-T6 aluminum-alloy sheet. NASA TMX-60125.
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Copyright (c) 2024 Vladyslav Golub, Alla Plashchynska
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