Fatigue crack growth in presence of material discontinuities by EFGM
Source abstract
Abstract
Abstract In this paper, the element free Galerkin method has been used to model and simulate the fatigue crack growth phenomenon in cracked specimens containing material discontinuities like holes and bi-material interfaces. The appropriate enrichment functions are added to the standard EFGM approximation in order to take into account the effect of various discontinuities present in the domain. The level set method is used to track different discontinuities present in the domain. Finally, several numerical problems are solved to demonstrate the effect of these material discontinuities on fatigue crack growth.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Rock Mechanics and Modeling
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References (41)
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. A finite element analysis of stable crack growth in an aluminium alloy10.1016/S0013-7944(02)00093-0 ↗
5. Numerical simulation of thermo-elastic fracture problems using element free Galerkin method10.1016/j.ijmecsci.2010.09.008 ↗
6. Crack propagation by element-free Galerkin methods10.1016/0013-7944(94)00153-9 ↗
7. A meshless method with enriched weight functions for fatigue crack growth10.1002/nme.948 ↗
8. Fatigue crack growth analysis by an enriched meshless method10.1016/j.cam.2003.04.006 ↗
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. 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 ↗
11. Smoothing, enrichment and contact in the element-free Galerkin method10.1016/S0045-7949(98)00205-3 ↗
12. A finite element method for crack growth without remeshing10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J ↗
13. A vector level set method and new discontinuity approximations for crack growth by EFG10.1002/nme.471 ↗
14. Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach10.1016/j.engfracmech.2006.04.015 ↗
15. Surfaces generated by moving least square methods10.1090/S0025-5718-1981-0616367-1 ↗
16. Fracture and crack growth by element-free Galerkin methods10.1088/0965-0393/2/3A/007 ↗
17. A new implementation of the element free Galerkin method10.1016/0045-7825(94)90056-6 ↗
18. Enforcement of essential boundary conditions in meshless approximations using finite elements10.1016/0045-7825(95)00954-X ↗
19. An element free Galerkin formulation for stable crack growth in an elastic solid10.1016/S0045-7825(97)00133-3 ↗
20. An efficient meshless method for fracture analysis of cracks10.1007/s004660000189 ↗
21. A nonlinear numerical analysis for metal forming process using the rigid-(visco) plastic element free Galerkin method10.1007/s00170-008-1585-3 ↗
22. An edge-based smoothed finite element method (ES–FEM) for static, free and forced vibration analyses of solids10.1016/j.jsv.2008.08.027 ↗
23. Parallel EFG algorithm for heat transfer problems10.1016/j.advengsoft.2005.01.009 ↗
24. Element-free Galerkin method for contact problems in metal forming analysis10.1108/02644400110365806 ↗
25. Adaptive rigid-plastic meshless Galerkin method and its application in analysis of extrusion processes10.3901/CJME.2007.02.026 ↗
26. An element-free Galerkin method for the three-dimensional fracture mechanics10.1007/s004660050235 ↗
27. Application of the element-free Galerkin meshless method to 3-D fracture mechanics problems10.1016/j.engfracmech.2005.06.002 ↗
28. Numerical simulation of bi-material interfacial cracks using EFGM and XFEM10.1007/s10999-011-9173-3 ↗
29. A simulation based design paradigm for complex cast components10.1007/s00366-006-0030-1 ↗
30. The numerical simulation of fatigue crack growth using extended finite element method10.1016/j.ijfatigue.2011.08.010 ↗
31. A state-of-the-art review of the X-FEM for computational fracture mechanics10.1016/j.apm.2009.02.010 ↗
32. A Lagrangian-extended finite-element method in modeling large-plasticity deformations and contact problems10.1016/j.ijmecsci.2009.03.012 ↗
33. A computational approach to handle complex microstructure geometries10.1016/S0045-7825(03)00346-3 ↗
34. Fronts propagating with curvature dependent speed: algorithms based on Hamilton–Jacobi formulations10.1016/0021-9991(88)90002-2 ↗
35. Modelling crack growth by level sets in the extended finite element method10.1002/nme.201 ↗
36. Extended finite element method and fast marching method for three-dimensional fatigue crack propagation10.1016/S0013-7944(02)00032-2 ↗
37. Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method10.1016/S0020-7225(02)00322-1 ↗
38. Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method10.1002/nme.2344 ↗
39. Gdoutos · 2005
40. An interaction integral method for analysis of cracks in orthotropic functionally graded materials10.1007/s00466-003-0460-1 ↗
41. A general treatment of crack tip contour integrals10.1007/BF00276359 ↗