Structural Engineering and Mechanics

  • 제20권2호
  • /
  • Pages.225-239
  • /
  • 2005
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Mode III fracture analysis of piezoelectric materials by Trefftz BEM

  • Qin, Qing-Hua (Department of Engineering, Australian National University)
  • 투고 : 2004.11.10
  • 심사 : 2005.03.14
  • 발행 : 2005.05.30
⟨ 이전 논문 다음 논문 ⟩

초록

Applications of the Trefftz boundary element method (BEM) to anti-plane electroelastic problems are presented in this paper. Both direct and indirect methods with domain decomposition are discussed in details. Each crack is treated as semi-infinite thin slit defined in a subregion, for which a particular solution of the anti-plane problem, satisfying exactly the crack-face condition, is derived. The stress intensity factors defined at each crack tip can be directly computed from the coefficients of the particular solution. The performance of the proposed formulation is assessed by two examples and comparison is made with results obtained by other approaches. The Trefftz boundary element approach is demonstrated to be suitable for the analysis of the anti-plane problem of piezoelectric materials.

키워드

참고문헌

  1. Cheung, Y.K., Jin, W.G. and Zienkiewicz, O.C. (1989), 'Direct solution procedure for solution of harmonic problems using complete non-singular Trefftz functions', Communi. Appl. Num. Meth., 5, 159-169 https://doi.org/10.1002/cnm.1630050304
  2. Domingues, J.S., Portela, A. and Castro, P.M.S.T. (1999), 'Trefftz boundary element method applied to fracture mechanics', Eng. Frac. Mech., 64, 67-86 https://doi.org/10.1016/S0013-7944(99)00062-4
  3. Kita, E. and Kamiya, N. (1995), 'Trefftz method: An overview', Adv. Eng. Software, 24, 3-12 https://doi.org/10.1016/0965-9978(95)00067-4
  4. Kita, E., Kamiya, N. and Iio, T. (1999), 'Application of a direct Trefftz method with domain decomposition to 2D potential problems', Eng. Analysis Bound Elem., 23, 539-548 https://doi.org/10.1016/S0955-7997(99)00010-7
  5. Pak, Y.E. (1990), 'Crack extension force in a piezoelectric material', J. Appl. Mech., 57, 647-653 https://doi.org/10.1115/1.2897071
  6. Portela, A. and Charafi, A. (1997), 'Trefftz boundary element methods for domains with slits', Eng. Analysis Bound Elem., 20, 299-304 https://doi.org/10.1016/S0955-7997(97)00047-7
  7. Qin, Q.H. (2000), The Trefftz Finite and Boundary Element Method, WIT Press, Southampton, UK
  8. Qin, Q.H. (2001), Fracture Mechanics of Piezoelectric Materials, WIT Press, Southampton, UK
  9. Qin, Q.H. (2003), 'Solving anti-plane problems of piezoelectric materials by the Trefftz finite element approach', Computational Mechanics, 31, 461-468 https://doi.org/10.1007/s00466-003-0450-3
  10. Sladek, J., Sladek, V. and Keer, Van R. (2002), 'Global and local Trefftz boundary integral formulations', Adv. Eng. Software, 33, 469-476 https://doi.org/10.1016/S0965-9978(02)00050-9
  11. Trefftz, E. (1926), 'Ein Gegenstuck zum Ritzschen Verfahren', Proc. of 2nd Int. Congress of Applied Mechanics, Zurich, 131-137
  12. Zhou, Z.G. and Wang, B. (2001), 'Investigation of anti-plane shear behaviour of two collinear cracks in a piezoelectric materials strip by a new method', Mech. Research Communi., 28, 289-295 https://doi.org/10.1016/S0093-6413(01)00176-8

피인용 문헌

  1. Effect of water to cement ratio on the mode III fracture energy of self-compacting concrete vol.51, pp.4, 2018, https://doi.org/10.1617/s11527-018-1208-x
  2. Symplectic model for piezoelectric wedges and its application in analysis of electroelastic singularities vol.87, pp.2, 2007, https://doi.org/10.1080/14786430600941579
  3. Determination of fracture toughness in concretes containing siliceous fly ash during mode III loading vol.62, pp.1, 2017, https://doi.org/10.12989/sem.2017.62.1.001