Geodesic
Extraction of fracture mechanics parameters from FEM analysis: algorithms and procedures
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 26 (2020) no. 1, pp. 69-77

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The paper describes new algorithms and procedures proposed for determining fracture mechanics parameters from finite element analysis using the over deterministic method. The multi-parameter crack tip stress field description is used. The algorithms and procedures based on multi-parameter stress field representations in series form are shown to be a powerful tool for reliable and accurate parameter determination. The technique is aimed at the determination of coefficients of the Williams series expansion from finite element analysis and is based on the over deterministic approach. The methodology is illustrated and applied to several cases of cracked specimens. Examples are presented for crack-tip fields recorded using digital photoelasticity. The results of finite element analysis are compared with the digital photoelasticity experiments. The results are in good agreement. The principal stresses obtained from finite element method are in good agreement with the isochromatic fringe patterns obtained by the photoelasticity method. Explanation has been made for giving guidance to a user on how best to approach implementation of the method from a practical standpoint.
Keywords: crack-tip fields, over deterministic method, finite element analysis, higher order terms, multi-parameter stress field presentation, digital photoelasticity, digital image processing. 
@article{VSGU_2020_26_1_a4,
     author = {Y. N. Bachareva and A. V. Mironov and D. M. Petrova},
     title = {Extraction of fracture mechanics parameters from {FEM} analysis: algorithms and procedures},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {69--77},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2020_26_1_a4/}
}
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Y. N. Bachareva; A. V. Mironov; D. M. Petrova. Extraction of fracture mechanics parameters from FEM analysis: algorithms and procedures. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 26 (2020) no. 1, pp. 69-77. http://geodesic.mathdoc.fr/item/VSGU_2020_26_1_a4/