Skip to main content
Log in

Cracking analysis of fracture mechanics by the finite element method of lines (FEMOL)

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

The Finite Element Method of Lines (FEMOL) is a semi-analytic approach and takes a position between FEM and analytic methods. First, FEMOL in Fracture Mechanics is presented in detail. Then, the method is applied to a set of examples such as edge-crack plate, the central-crack plate, the plate with cracks emanating from a hole under tensile or under combination loads of tensile and bending. Their dimensionless stress distribution, the stress intensify factor (SIF) and crack opening displacement (COD) are obtained, and comparison with known solutions by other methods are reported. It is found that a good accuracy is achieved by FEMOL. The method is successfully modified to remarkably increase the accuracy and reduce convergence difficulties. So it is a very useful and new tool in studying fracture mechanics problems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Hu, S.W.: Torsional analysis of composite steel-concrete beams with cracks. [Ph.D. thesis], Beijing: Tsinghua University, 1999.11 (in Chinese)

  2. Yuan, S.: The Finite Element Method of Lines–-Theory and Applications. Science Press, Beijing, 1994

  3. Williams, M.L.: Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 19(4), 526–528 (1952)

    Google Scholar 

  4. Malik, S.N.: Elastic-plastic analysis for a finite thickness rectangular plate containing a through central crack. J. Frac. 18(1), 28–36 (1982)

    Google Scholar 

  5. Anderson, A.L.: Fracture Mechanics—Fundamentals and Applications. Second Edition, CRC Press, 1995

  6. Gyekenyesi, J.P., Mendelson, A.: Three-dimensional elastic stress and displacement analysis of finite geometry solids containing cracks. Int. J. Frac. 11, 409–429 (1975)

    Google Scholar 

  7. Gladwell, G.M.L., Fan, T.Y.: Galin's theorem holds for a moving punch. Acta Mech. Sinica 7(2), 165–171 (1991)

    Google Scholar 

  8. Zhang, T.Y., et al: Fracture mechanics for mode II crack in a piezoelectric material. Int. J. Solids Struct. 33, 343–359 (1996)

    Google Scholar 

  9. Liu, D.K., Lin, H.: Scattering of sh-waves by an interacting interface linear crack and a circular cavity near bimaterial interface. Acta Mech. Sinica 20(3), 317–326 (2004)

    Google Scholar 

  10. Xia, S., Wang, T.C., Chen, S.H.: Crack tip field and J-integral with strain gradient effect. Acta Mech. Sinica 20(3), 228–237 (2004)

    Google Scholar 

  11. Chen, S.H., Wang, T.C., Kao-Walter, S.: Finite boundary effects in problem of a crack perpendicular to and terminating at bimaterial interface. Acta Mech. Sinica 21(1), 56–64 (2005)

    Google Scholar 

  12. Fang, Q.H., Liu, Y.W., Jiang, C.P.: Interaction between a screw dislocation and an elastic elliptical inhomogeneity with interfacial cracks. Acta Mech. Sinica 21(2), 151–159 (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shaowei Hu.

Additional information

The English text was polished by Yunming Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hu, S., Moran, B. Cracking analysis of fracture mechanics by the finite element method of lines (FEMOL). ACTA MECH SINICA 21, 495–502 (2005). https://doi.org/10.1007/s10409-005-0059-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-005-0059-1

Keywords

Navigation