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Three-dimensional Correction of the Stress Intensity Factor for Plate with a Notch

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Abstract

The 3D effects of the 2D mode I stress intensity factor for the plate with a V-shaped straight through-thickness notch are investigated by the finite element method and three-dimensional thicknessdependent correction of SIF is suggested. The correction relies on the assumed relationship between the SIF and the constraint factor (out-of-plane degree of freedom). The 3D finite element mesh generator combining the 2D in-plane adaptive unstructured mesh with the structured through-thickness mesh Is developed and applied for the analysis purposes. Three-dimensionality was examined by using two independent indicators, namely, stress- or strain-based constraint factors. The three-point bend and tensile center-cracked plates are investigated. The results demonstrated that the developed 3D corrections may be treated as upper bound estimates of the SIF for three-point bend plate,while directly obtained numerical values are considered as lower bound estimates. Analysis of the tensile center-cracked plate demonstrated a different nature of the 3D SIF profile, which cannot be simply explained as a transitional state between plain strain and plain stress. Therefore, the suggested 3D correction concept is of a particular character.

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Authors and Affiliations

  1. Vilnius Gediminas Technical University, Lithuania, Strength of Materials, 11 Sauletekio Ave, 10223, Vilnius, Lithuania

    Rimantas Kačianauskas, Mroz zenon, Vladislav Žarnovskij & Eugeniuš Stupak

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  1. Rimantas Kačianauskas
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  2. Mroz zenon
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  3. Vladislav Žarnovskij
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  4. Eugeniuš Stupak
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Correspondence to Rimantas Kačianauskas.

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Kačianauskas, R., zenon, M., Žarnovskij, V. et al. Three-dimensional Correction of the Stress Intensity Factor for Plate with a Notch. Int J Fract 136, 75–98 (2005). https://doi.org/10.1007/s10704-005-4401-1

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  • DOI: https://doi.org/10.1007/s10704-005-4401-1

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