Investigation of Eigen-Values for Matrix Cracks of Two Materials

Abstract:

The eigen-values problem of matrix cracks is studied in this paper. The stress field and displacement field of plane matrix crack is setup at first. The eigen-equation of matrix cracks is founded on the basis of the stress field and displacement field. The factors to affect the eigen-values are discussed. The effect of shearing modulus and Poisson ratio of matrix material and attaching material on eigen-values are analyzed. The results show that the bigger shearing modulus of material should be selected for attaching material and the shearing modulus of attaching material should bigger than that of matrix material in fracture design.

• Periodical: Key Engineering Materials (Volumes 488-489)
• Pages: 170-173
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.488-489.170
• Online since: September 2011
• Authors: You Tang Li, Rui Feng Wang
• Keywords: Eigen-Equation, Eigen-Value, Fracture Design, Matrix Crack, Stress Field

References

[1] Y. Li, Y. Wei & Y. Hou. Key Engineering Material Vols. 183 (2000) pp.319-324.

[2] B.J. Zhao, Q.T. Wei, F.Y. Lang. Int. J. Fracture. 55, R43~R46(1990).

[3] N. Tada, T. Kitamura, R. Ohtani. Engng Frac. Mech. 52, 1015~1026(1995).

[4] D.J. Herrmann & B.M. Hillberry. Engng Frac. Mech. 56, 711~726 (1997).

[5] F.G. Yuan & S. Yang. Int. J. Fracture, 103, 71~84 (2000).

[6] F.O. Riemelmoser & R. Pippan. Int. J. Fracture, 103, 397~418 (2000).

[7] A.R. Zak & M.L. Williams. J. Appl. Mech. 30, 142-143 (1963).