Equilibrium state of mode-I sub-interfacial crack growth in bi-materials
Source abstract
Abstract
The sub-interfacial crack growth in bi-materials is numerically studied in this paper using the extended finite element method (X-FEM), which gives a clear description of the effect on fracture which is made by the interface and loading condition. Computational results are compared with the experiment data, which demonstrates that X-FEM is more powerful to capture the actual crack growing path than the standard FEM. Further researches show that there exists an equilibrium state which forms a mode-I crack growth in bi-materials. An empirical formula is proposed which quantitatively reveals the influence of material inhomogeneity, loading asymmetry and location of the initial crack on this state.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Composite Material Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (15)
Show source-provided references
1. Areias PMA, Belytschko T (2006) Two-scale shear band evolution by local partition of unity. Int J Numer Meth Eng 66: 878–91010.1002/nme.1589 ↗
2. Belytschko T, Black T (1999) Elastic crack growth in finite elements with minimal remeshing. Int J Numer Meth Eng 45: 601–62010.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S ↗
3. Chessa J, Belytschko T (2003) An extended finite element method for two-phase fluids. J Appl Mech 70(1): 10–1710.1115/1.1526599 ↗
4. Hutchinson JW, Mear ME, Rice JR (1987) Crack parallel an interface between dissimilar materials. ASME J Appl Mech 54: 828–83210.1115/1.3173124 ↗
5. Karihaloo BL, Liu XY, Xiao QZ (2004) Extended finite element method for direct evaluation of mixed mode stress intensity factors in homogeneous and bimaterials. Int J Numer Meth Eng 59: 1103–111810.1002/nme.906 ↗
6. Karihaloo BL, Xiao QZ (2003) Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the-art review. Comput Struct 81: 119–12910.1016/S0045-7949(02)00431-5 ↗
7. Karihaloo BL, Xiao QZ (2006) Improving the accuracy of XFEM crack tip field using higher order quadrature and statically admissible stress recovery. Int J Numer Meth Eng 66: 1378–141010.1002/nme.1601 ↗
8. Lee H, Krishnaswamy S (2000) Quasi-static propagation of sub-interfacial cracks. ASME J Appl Mech 67: 444–45210.1115/1.1311275 ↗
9. Marsavina L, Piski T (2010) Bimaterial four point bend specimen with sub-interface crack. Int J Fract 164: 325–33210.1007/s10704-010-9490-9 ↗
10. Moes N, Belytschko T (2002) Extended finite element method for cohesive crack growth. Eng Fract Mech 69: 813–83310.1016/S0013-7944(01)00128-X ↗
11. Moes N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Meth Eng 46: 131–15010.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J ↗
12. Song JH, Areias PMA, Belytschko T (2006) A method for dynamic crack and shear band propagation with phantom nodes. Int J Numer Meth Eng 67: 868–89310.1002/nme.1652 ↗
13. Venkatesha KS, Ramamurthy TS, Dattaguru B (1998) A study of the behaviour of subinterface cracks in bi-material plates. Eng Fract Mech 59: 241–25210.1016/S0013-7944(97)00129-X ↗
14. Yang M, Kim K (1992) The behaviour of subinterface cracks with crack-face contact. Eng Fract Mech 44: 155–16510.1016/0013-7944(93)90088-A ↗
15. Zhuang Z, Cheng BB (2011) Development of X-FEM methodology and study on mixed-mode crack propagation. Acta Mech Sin (in press)10.1007/s10409-011-0436-x ↗