双向梯度复合材料裂纹尖端应力强度因子研究

doi:10.7527/S1000-6893.2013.0319

Abstract

Abstract:

To further improve the level of mechanical analysis and design of graded composites, a graded extended finite element method (XFEM) is proposed for fracture characteristic analysis in two-directional graded composites whose varying properties along gradient directions are predicted by a micromechanics method. The spatially varying stiffness matrices of 4-node graded extended finite elements are calculated by linear interpolation of displacement fields and a continuous gradient finite element model is established. The stress intensity factors (SIFs) of crack-tip are finally calculated by the interaction energy integral method. The superiority of graded XFEM is verified through comparison with relevant literature. Furthermore, the influence of material parameters on SIFs in two-directional graded structures is discussed in detail. The calculation accuracy of SIFs can be obviously improved by graded XFEM and the results converge to accurate solutions quickly as mesh density increases. The SIFs in two-directional graded structures can be markedly affected by constituent distribution and property gradients. In two-directional graded structures with multiple interior cracks, the SIFs are enlarged by the interaction between cracks and are larger at positions with higher elastic modulus.

Key words: two-directional graded composite, finite element method, stress intensity factor, graded extended finite element method, interaction energy integral

CLC Number:

CHEN Kang, XU Xiwu, GUO Shuxiang. Stress Intensity Factors at Crack Tips in Two-directional Graded Composites[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2013, 34(8): 1832-1845.

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Stress Intensity Factors at Crack Tips in Two-directional Graded Composites

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