首页|On the path and area J_(x1)-integral components and their relationship to the out-of-plane constraint in elastic cracked plates

On the path and area J_(x1)-integral components and their relationship to the out-of-plane constraint in elastic cracked plates

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In this paper, the path and area components of the J_(x1)-integral, J_P and J_A, 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 J_P and J_A components of the J_(x1)-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 K_1 for different constraint levels can be misleading.

J_(x1)-integralout-of-plane constraintthickness influencefinite element analysis

A. Fernandez-Canteli、E. Giner、D. Fernandez-Zuniga、J. Fernandez-Saez

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Dept. of Construction and Manufacturing Engineering, University of Oviedo,Campus de Viesques, 33203 Gijon (Spain)

Dept. of Mechanical Engineering and Materials -CITV, Polytechnical University of Valencia,Camino de Vera s/n, 46022 Valencia (Spain)

Dept. of Continuum Mechanics and Structural Analysis, University Carlos III of Madrid,Avda. de la Universidad 30, 28911 Leganes, Madrid (Spain)

2010

Key engineering materials

Key engineering materials

ISSN：1013-9826
年,卷(期)：2010.417/418