Anti-plane Yoffe Moving Crack Problem in Isotropic Functionally Graded Materials
Source abstract
Abstract
A finite length Yoffe crack with specified anti-plane shear displacements in an infinite strip made by isotropic functionally graded material (FGM) is studied. Based on exponential variation of the shear modulus and the mass density in FGM, both stress and displacement fields are derived by means of the Fourier-transform method and dual-integral equations. The relationships between the dynamic stress intensity factors, crack moving-velocity, graded parameter and crack length are analyzed. The solution can be reduced to the case of dynamic problems in isotropic homogeneous materials, and shows identical results as well.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Numerical methods in engineering · Composite Structure Analysis and Optimization · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Engineering Mechanics, Tsinghua University 100084 Beijing, China
Department of Engineering Mechanics, Tsinghua University 100084 Beijing, China,
Department of Mechanical and Aerospace Engineering California State University, Long Beach, California 90840-8305, USA
References (19)
Show source-provided references
1. Suresh, S. · 1998
2. Niino, M. · J. Jap. Soc. Comp. Mater. · 1987 · 13 · 25710.6089/jscm.13.257 ↗
3. 10.1115/1.316915310.1115/1.3169153 ↗
4. 10.1115/1.278891410.1115/1.2788914 ↗
5. 10.1007/BF0011636910.1007/BF00116369 ↗
6. 10.1023/A:101873662755010.1023/A:1018736627550 ↗
7. 10.1007/s00707-004-0126-x10.1007/s00707-004-0126-x ↗
8. 10.1023/A:102735391835710.1023/A:1027353918357 ↗
9. 10.1016/S0093-6413(02)00255-010.1016/S0093-6413(02)00255-0 ↗
10. 10.1016/j.ijimpeng.2004.03.00610.1016/j.ijimpeng.2004.03.006 ↗
11. Nakagaki, M. , Sasaki, H. and Hagihara, S. (1995). Study of Crack in Functionally Graded Material Under Dynamic Loading, American Society of Mechanical Engineers , Pressure Vessels and Piping Division PVP 300, Dynamic Fracture, Failure and Deformation, 1-6.
12. 10.4028/www.scientific.net/KEM.251-252.12310.4028/www.scientific.net/KEM.251-252.123 ↗
13. 10.1016/S0013-7944(02)00046-210.1016/S0013-7944(02)00046-2 ↗
14. 10.4028/www.scientific.net/MSF.423-425.62910.4028/www.scientific.net/MSF.423-425.629 ↗
15. 10.1016/S1359-8368(01)00057-910.1016/S1359-8368(01)00057-9 ↗
16. 10.1016/S0020-7683(03)00029-510.1016/S0020-7683(03)00029-5 ↗
17. 10.1002/nme.23710.1002/nme.237 ↗
18. Sih, G. C. and Chen, E. P. (1977). In: Elastodynamic Crack Problems (Mechanics of Fracture 4), pp. 71-93, Noordhoff, Leyden .
19. 10.1016/0020-7225(86)90008-X10.1016/0020-7225(86)90008-X ↗