The numerical simulation of fatigue crack growth using extended finite element method
Source abstract
Abstract
Abstract In the present work, the fatigue life of homogeneous plate containing multiple discontinuities (holes, minor cracks and inclusions) is evaluated by extended finite element method (XFEM) under cyclic loading condition. The multiple discontinuities of arbitrary size are randomly distributed in the plate. The values of stress intensity factors (SIFs) are extracted from the XFEM solution by domain based interaction integral approach. Standard Paris fatigue crack growth law is used for the life estimation of various model problems. The effect of the minor cracks, voids and inclusions on the fatigue life of the material is discussed in detail.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (40)
Show source-provided references
1. The dual boundary element method: effective implementation for crack problem10.1002/nme.1620330611 ↗
2. Multiple-cracked fatigue crack growth by BEM10.1007/BF00350716 ↗
3. A boundary element modeling of fatigue crack growth in a plane elastic plate10.1016/j.mechrescom.2005.06.006 ↗
4. Fracture and crack growth by element-free Galerkin methods10.1088/0965-0393/2/3A/007 ↗
5. Crack propagation by element-free Galerkin methods10.1016/0013-7944(94)00153-9 ↗
6. A meshless method with enriched weight functions for fatigue crack growth10.1002/nme.948 ↗
7. Fatigue crack growth analysis by an enriched meshless method10.1016/j.cam.2003.04.006 ↗
8. The partition of unity finite element method: basic theory and applications10.1016/S0045-7825(96)01087-0 ↗
9. Elastic crack growth in finite elements with minimal remeshing10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S ↗
10. A finite element method for crack growth without remeshing10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J ↗
11. Dolbow J. An extended finite element method with discontinuous enrichment for applied mechanics. PhD Thesis 1999, Theoretical and Applied Mechanics, Northwestern University, Evanston, IL.
12. Modelling crack growth by level sets in the extended finite element method10.1002/nme.201 ↗
13. Arbitrary discontinuities in finite elements10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO;2-M ↗
14. A vector level set method and new discontinuity approximations for crack growth by EFG10.1002/nme.471 ↗
15. Vector level sets for description of propagating cracks in finite elements10.1002/nme.829 ↗
16. Modeling holes and inclusions by level sets in the extended finite element method10.1016/S0045-7825(01)00215-8 ↗
17. An extended finite element method for modeling crack growth with frictional contact10.1016/S0045-7825(01)00260-2 ↗
18. Extended finite element method for cohesive crack growth10.1016/S0013-7944(01)00128-X ↗
19. New crack-tip elements for XFEM and applications to cohesive cracks10.1002/nme.849 ↗
20. Modelling of cohesive crack growth in concrete structures with the extended finite element method. Computational Methods10.1016/j.cma.2007.03.023 ↗
21. A consistent partly cracked XFEM element for cohesive crack growth10.1002/nme.2023 ↗
22. Modeling quasi-static crack growth with the extended finite element method. Part I: Computer implementation10.1016/j.ijsolstr.2003.08.002 ↗
23. Arbitrary branched and intersecting cracks with the extended finite element method10.1002/1097-0207(20000830)48:12<1741::AID-NME956>3.0.CO;2-L ↗
24. Non-linear analysis of shells with arbitrary evolving cracks using XFEM10.1002/nme.1192 ↗
25. Mixed mode fatigue crack growth: a literature survey10.1016/S0013-7944(96)00071-9 ↗
26. Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method10.1016/S0020-7225(02)00322-1 ↗
27. Modeling thermal fatigue cracking in integrated circuits by level sets and the extended finite element method10.1016/S0020-7225(03)00217-9 ↗
28. Extended finite element method for fretting fatigue crack propagation10.1016/j.ijsolstr.2008.06.009 ↗
29. Analysis of three-dimensional crack initiation and propagation using the extended finite element method10.1002/nme.1305 ↗
30. Extended finite element method for three-dimensional crack modelling10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A ↗
31. Experimental observations on mixed mode fatigue crack propagation
32. Mixed mode fatigue crack growth criteria10.1016/S0142-1123(00)00105-5 ↗
33. Fatigue life and crack path predictions in generic 2D structural components10.1016/S0013-7944(02)00099-1 ↗
34. The mixed-mode investigation of the fatigue crack in CTS metallic specimen10.1016/j.ijfatigue.2006.01.005 ↗
35. An experimental investigation of fatigue crack growth of stainless steel 304L10.1016/j.ijfatigue.2008.11.004 ↗
36. Mohammadi · 2008
37. Gdoutos · 2005
38. An interaction integral method for analysis of cracks in orthotropic functionally graded materials10.1007/s00466-003-0460-1 ↗
39. A general treatment of crack tip contour integrals10.1007/BF00276359 ↗
40. Elastic–plastic analysis of cracks on bimaterial interfaces: Part-I: Small scale yielding10.1115/1.3173676 ↗