Notice: Undefined index: linkPowrot in C:\wwwroot\wwwroot\publikacje\publikacje.php on line 1275
Publikacje
Pomoc (F2)
[89490] Artykuł:

Stress distribution in front of the crack – analytical solutions vs. numerical. Can the differences be minimized?

Czasopismo: Journal of Theoretical and Applied Mechanics   Tom: 57, Zeszyt: 3, Strony: 713-721
ISSN:  1429-2955
Opublikowano: Lipiec 2019
 
  Autorzy / Redaktorzy / Twórcy
Imię i nazwisko Wydział Katedra Do oświadczenia
nr 3
Grupa
przynależności
Dyscyplina
naukowa
Procent
udziału
Liczba
punktów
do oceny pracownika
Liczba
punktów wg
kryteriów ewaluacji
Andrzej Neimitz orcid logo WMiBMKatedra Podstaw Konstrukcji Maszyn*Takzaliczony do "N"Inżynieria mechaniczna5020.0020.00  
Sebastian Lipiec orcid logo WMiBMKatedra Podstaw Konstrukcji Maszyn*Niezaliczony do "N"Inżynieria mechaniczna5020.0020.00  

Grupa MNiSW:  Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A)
Punkty MNiSW: 40


DOI LogoDOI    


Abstract:

It is shown that it is possible to obtain such parameters as α and Q, which, when used in the analytical formulae proposed by O’Dowd and Shih, can lead to stress distributions similar to those obtained numerically. The numerical solution obtained after calibration of the stress-strain uniaxial curve and assuming large strains is expected to be close to the “real” stress distribution. Thus, the analytical solution after correction is also close to the “real” stress distribution. These new values of α and Q can now be used in fracture criteria proposed within the scope of classical nonlinear fracture mechanics.



B   I   B   L   I   O   G   R   A   F   I   A
1. Ainsworth R.A., O’Dowd N.P., 1995, Constraint in the failure assessment diagram approach
for fracture assessment, ASME Journal of Pressure Vessels Technology, 117, 260-267
2. Bai Y., Wierzbicki T., 2008, A new model plasticity and fracture with pressure and Lode
dependence, International Journal of Plasticity, 24, 1071-1096
3. Cherepanov G.P., 1967, O racprostranenii treshchin v sploshnoj srede, Prikladnaya Matematika
i Mekhanika, PMM, 31, 3, 476-488
4. Dugdale D.S., 1960, Yielding of steel sheets containing slits, Journal of the Mechanics and Physics
of Solids, 8, 100-104
5. Guo W., 1993, Elastoplastic three dimensional crack border field – I. Singular structure of the
field, Engineering Fracture Mechanics, 46, 93-104
6. Hutchinson J.W., 1968, Singular behaviour at the end of a tensile crack in a hardening material,
Journal of the Mechanics and Physics of Solids, 16, 13-31
7. Koc¸ak M., Webster S., Janosch J.J., Ainsworth R.A., Koers R., edit., 2008, FITNET:
Fitness-for-Service. Fracture-Fatigue-Creep-Corrosion, GKSS Research Centre Geesthacht, ISBN
978-3-940923-00-4
8. McClintock F.A., 1971, Plasticity aspects of fracture, [In:] Fracture: an Advanced Treatise,
H. Liebowitz (Edit.), Academic Press, New York and London, 3, 47-225
9. Neimitz A., Dzioba I., 2015, The influence of the out-of-plane and in-plane constraint on fracture
toughness of high strength steel in the ductile to brittle transition temperature range, Engineering
Fracture Mechanics, 147, 431-448
10. Neimitz A., Gałkiewicz J., Dzioba I., 2018, Calibration of constitutive equations under conditions of large strains and stress triaxiality, Archives of Civil and Mechanical Engineering, 18,
1123-1135
11. Neimitz A., Gałkiewicz J., Graba M., Computer program: Name: HRR par program: Internet
address: http://fracture.tu.kielce.pl/index.php?pokaz=hrr
Stress distribution in front of the crack... 721
12. Neimitz A., Graba M., 2008, Analytical-numerical hybrid method to determine the stress field in
front of the crack in 3D elastic-plastic structural elements, Proceedings of 17th European Conference
on Fracture – Multilevel Approach to Fracture of Materials, Components and Structures, Brno,
Czech Republic, article on CD, abstract – book of abstracts, p. 85
13. Neimitz A., Graba M., Gałkiewicz J., 2007, An alternative formulation of the Ritchie-Knott-
-Rice local fracture criterion, Engineering Fracture Mechanics, 74, 8, 1308-1322
14. O’Dowd N.P., 1995, Applications of two parameter approaches in elastic-plastic fracture mechanics, Engineering Fracture Mechanics, 52, 3, 445-465
15. O’Dowd N.P., Shih C.F., 1991, Family of crack-tip fields characterized by a triaxiality parameter
– I. Structure of fields, Journal of the Mechanics and Physics of Solids, 39, 8, 989-1015
16. Rice J.R., 1968, A path independent integral and the approximate analysis of strain concentration
by notches and cracks, Journal of Applied Mechanics, 35, 379-386
17. Rice J.R., Rosengren G.F., 1968, Plane strain deformation near a crack tip in a power-law
hardening material, Journal of the Mechanics and Physics of Solids, 16, 1-12
18. Sherry A.H., Hooton D.G., Beardsmore D.W., Lidbury D.P.G., 2005a, Material constraint
parameters for the assessment of shallow defects in structural components – Part II: Constraint –
based assessment of shallow cracks, Engineering Fracture Mechanics, 72, 2396-2415
19. Sherry A.H., Wilkes M.A., Beardsmore D.W., Lidbury D.P.G., 2005b, Material constraint
parameters for the assessment of shallow defects in structural componenets – Part I: Parameter
solutions, Engineering Fracture Mechanics, 72, 2373-2395
20. Xiang M., Guo W., 2013, Formulation of the stress fields in power law solids ahead of threedimensional tensile cracks, International Journal of Solids and Structures, 50, 3067-3088
21. Yang S., Chao Y.J., Sutton M.A., 1993, Higher order asymptotic crack tip in a power-law
hardening material, Engineering Fracture Mechanics, 45, 1, 1-20