Transactions of the Korean Society of Machine Tool Engineers (한국공작기계학회논문집)

The Korean Society of Manufacturing Technology Engineers (한국생산제조학회)
권호 표지

An Evaluation of the Effect of Micro-cracks on Macro Elastic Moduli

매크로 탄성 계수에 미치는 마이크로 크랙의 영향 평가

  • 강성수 (전주대학교 기계자동차공학과) ;
  • 김홍건 (전주대학교 기계자동차공학과)
  • Published : 2006.10.15
Download PDF
⟨ Previous Next ⟩

Abstract

A meso-scale analysis method using the natural element method, which is a kind of meshless method, is proposed for the analysis of material damage of brittle microcracking solids such as ceramic materials, concrete and rocks. 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 microcracks. The macro elastic moduli of anisotropic as well as isotropic solids containing a number of randomly distributed microcracks are calculated in order to demonstrate the validity of the proposed method.

Keywords

References

  1. Belytschko, T., Krongauz, Y., Organ, D., Fleming, M. and Krysl, P., 1996, 'Meshless Methods: An Overview and Recent Developments,' Computer Methods in Applied Mechanics and Engineering, Vol. 139, No. 1, pp. 3-47 https://doi.org/10.1016/S0045-7825(96)01078-X
  2. Belytschko, T., Lu, Y. Y. and Gu, L., 1994, 'Element-free Galerkin Methods,' International Journal for Numerical Methods in Engineering, Vol. 37, No. 2, pp. 229-256 https://doi.org/10.1002/nme.1620370205
  3. Sukumar, N., Moran, B. and Belytschko, T., 1998, 'The Natural Element Method in Solid Mechanics,' International Journal for Numerical Methods in Engineering, Vol. 43, No. 5, pp. 839-887 https://doi.org/10.1002/(SICI)1097-0207(19981115)43:5<839::AID-NME423>3.0.CO;2-R
  4. Toi, Y. and Che, J. S., 1994, 'Computational Damage Mechanics models for Brittle Microcracking Solids based on Mesoscopic Simulations,' Engineering Fracture Mechanics, Vol. 48, No. 4, pp. 483-498 https://doi.org/10.1016/0013-7944(94)90203-8
  5. Toi, Y. and Kiyosue, T., 1995, 'Damage Mechanics Models for Brittle Microcracking Solids based on Three-dimensional Mesoscopic Simulations,' Engineering Fracture Mechanics, Vol. 50, No. 1, pp. 11-27 https://doi.org/10.1016/0013-7944(94)00160-J
  6. Yoon, M. J., 1995, 'Quantitative Evaluation of Fatigue Strength using a Surface Defective Low Carbon Steel,' Transactions of the Korean Society of Machine Tool Engineers, Vol. 4, No. 4, pp. 42-49
  7. Yoon, M. J., 1997, 'Evaluation of Fatigue Strength and Characteristics of Fatigue Crack Closure in SM35C Steel,' Transactions of the Korean Society of Machine Tool Engineers, Vol. 6, No. 1, pp. 45-50
  8. Budiansky, B. and O'Connell, R. J., 1976, 'Elastic Moduli of a Cracked Solid,' International Journal of Solids and Structures, Vol. 12, No. 2, pp. 81-97 https://doi.org/10.1016/0020-7683(76)90044-5