Journal of Advanced Marine Engineering and Technology

The Korean Society of Marine Engineering (한국마린엔지니어링학회)
권호 표지

Natural Element Analysis on Macro Elastic Moduli for Materials with Micro-cracks

마이크로 크랙을 포함한 재료의 매크로 탄성 정수에 관한 자연요소해석

  • 강성수 (전주대학교 기계자동차공학과)
  • Published : 2006.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

A meso-scale analysis method using the natural element method is proposed for the analysis of material damage of brittle microcracking solids. The microcracking is assumed to occur along Voronoi edges in the Voronoi diagram generated using the nodal points as the generators. The mechanical effect of microcracks is considered by controlling the material constants in the neighborhood of the micorcracks. The macro elastic moduli of isotropic solids containing a number of randomly distributed microcracks are calculated considering the effect of microcrack closure to demonstrate the validity of the proposed method.

Keywords

References

  1. Y. Toi and J.-S. Che, 'Computational Damage Mechanics models for Brittle Microcracking Solids based on Mesoscopic Simulations', Engineering Fracture Mechanics, Vol. 48, No. 4, pp. 483-498, 1994 https://doi.org/10.1016/0013-7944(94)90203-8
  2. T. Belytschko, Y. Krongauz, D. Organ, M. Fleming and P. Krysl, 'Meshless Methods: An Overview and Recent Developments', Computer Methods in Applied Mechanics and Engineering, Vol. 139, No. 1, pp. 3-47, 1996 https://doi.org/10.1016/S0045-7825(96)01078-X
  3. T. Belytschko, Y. Y. Lu and L. Gu, 'Element-free Galerkin Methods', International Journal for Numerical Methods in Engineering, Vol. 37, No. 2, pp. 229-256, 1994 https://doi.org/10.1002/nme.1620370205
  4. N. Sukumar, B. Moran and T. Belytschko, 'The Natural Element Method in Solid Mechanics', International Journal for Numerical Methods in Engineering, Vol. 43, No. 5, pp. 839-887, 1998 https://doi.org/10.1002/(SICI)1097-0207(19981115)43:5<839::AID-NME423>3.0.CO;2-R
  5. B. Budiansky and R. J. O'Connell, 'Elastic Moduli of a Cracked Solid', International Journal of Solids and Structures, Vol. 12, No. 2, pp. 81-97, 1976 https://doi.org/10.1016/0020-7683(76)90044-5
  6. D. Krajcinovic, Damage Mechanics, North-Holland, Amsterdam, 1996