On the Path and Area Jx1-Integral Components and their Relationship to the Out-of-Plane Constraint in Elastic Cracked Plates

A. Fernández Canteli; E. Giner; D. Fernández Zúñiga; J. Fernández Sáez

doi:10.4028/www.scientific.net/KEM.417-418.421

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 417-418On the Path and Area Jx1-Integral Components and...

On the Path and Area J_x1-Integral Components and their Relationship to the Out-of-Plane Constraint in Elastic Cracked Plates

Abstract:

In this paper, the path and area components of the Jx1-integral, JP and JA, in three dimensional elastic cracked plates under mode-I loading are investigated aiming at relating them to the out-of-plane constraint conditions resulting from different specimen thicknesses. It is concluded that the JP and JA components of the Jx1-integral vary in the region where the out-of-plane constraint extends. Sufficiently far from the crack front, these integrals tend to stabilize, indicating that the thickness constraint vanishes and that a 2D-like stress and strain fields have been reached. A pure plane strain condition is only attained when the specimen thickness is very large when compared to the in-plane dimensions. For thin plates, it is shown that the 2D plane stress condition is impossible in the close neighbourhood of a 3D crack front under elastic behaviour so that the consideration of an equivalent Young modulus E', used to find a simple relation between the J(s)-integral and KI for different constraint levels can be misleading.

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Periodical:

Key Engineering Materials (Volumes 417-418)

Pages:

421-424

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.417-418.421

Citation:

Cite this paper

Online since:

October 2009

Authors:

A. Fernández Canteli, E. Giner, D. Fernández Zúñiga, J. Fernández Sáez

Keywords:

Finite Element Analysis (FEA), J_x1-Integral, Out-of-Plane Constraint, Thickness Influence

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References

[1] G.C. Sih: A review of the three-dimensional stress problem for a cracked plate. Int J Fracture Mech 7(1), 39-61 (1971).

DOI: 10.1007/bf00236482

Google Scholar

[2] R.H. Rigby, M.H. Aliabadi: Decomposition of the mixed-mode J-integral-Revisited. Int J Solids Struct 35(17), 2073-2099 (1998).

DOI: 10.1016/s0020-7683(97)00171-6

Google Scholar

[3] N. Omer, Z. Yosibash: On the path independency of the point-wise J-integral in threedimensions. Int J Fracture 136, 1-36 (2005).

DOI: 10.1007/s10704-005-3934-7

Google Scholar

[4] E. Giner, D. Fernández-Zúñiga, J. Fernández-Sáez, A. Fernández-Canteli: On the Jx1-integral and the out-of-plane constraint in a 3D-elastic cracked plate. Submitted to Int J Solids Struct (2008).

DOI: 10.4028/www.scientific.net/kem.417-418.421

Google Scholar

[5] T. Nakamura, D.M. Parks: Three-dimensional stress field near the crack front of a thin elastic plate. J Applied Mech 55, 805-813 (1988).

DOI: 10.1115/1.3173725

Google Scholar