Numerical methods for the determination of multiple stress singularities and related stress intensity coefficients

Xu, Jin-Quan; Liu, Yihua; Wang, Xiaogui

doi:10.1016/s0013-7944(99)00044-2

Cited by 43 publications

(13 citation statements)

References 26 publications

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“…To evaluate the intensity of the singular stress field near the interface edge, Munz and Yang [3] proposed the numerical extrapolation method for single stress singularity problems, and Xu et al [4] developed the numerical method to determine both multiple stress singularities and the related stress intensity coefficients by using conventional numerical results. Noda et al [5,6] showed the accurate method to analyze the intensity of the singular stress at the interface edge by using the stress ratio at the interface edge calculated by the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Stress intensity factor for small edge crack in interfacial singularity region

Oda

Kawakita

Tsutsumi

2017

J. Phys.: Conf. Ser.

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Section: Introductionmentioning

confidence: 99%

Stress intensity factor for small edge crack in interfacial singularity region

Oda

Kawakita

Tsutsumi

2017

J. Phys.: Conf. Ser.

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“…The material mismatch between the stiff inclusion and the compliant foam is a source of stress concentration. Several researchers developed intricate analytical and numerical models in an attempt to characterize the stress concentration in butt joints [6][7][8][9] . The present study utilizes a practical approach to predict the strength reduction of butt joints and T-joints.…”

Section: Introductionmentioning

confidence: 99%

Predicting and Measuring the Strength Reduction of Sandwich Structures with Spliced Foam Cores

Goyal¹,

Rome²,

Schubel³

et al. 2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

3
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An analytical and test program was designed to gain understanding of the failure mechanisms and strength reductions that occur in sandwich structures containing single core splices (butt joints) or intersecting core splices (T-joints). A three point bend test configuration was used to induce a state of nearly uniform shear stress and to evaluate the effect of butt joints. Finite element modeling with a damage zone criterion was used to predict the strength reduction due to these features. The predicted strength reduction was in excellent agreement with test data. The analysis also provided insight into several unexpected phenomena observed during testing. Furthermore, the location of failure initiation was identified through analysis and confirmed with high speed photography. This investigation demonstrated that core splices with certain adhesive materials may only result in slight strength reductions.

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“…The conventional FEM (Pageau et al, 1995;Mohammed and Liechti, 2001) and BEM (Tan et al, 1992;Xu et al, 1999;Ioka et al, 2007) usually use very fine meshes in the vicinity of the notch tip to simulate the singular stress field. Then the stresses or displacements at some mesh points near the notch tip are used to determine the GSIFs by the extrapolation technique.…”

Section: Introductionmentioning
confidence: 99%

A new boundary element approach of modeling singular stress fields of plane V-notch problems
Niu
¹
,
Chen
²
,
Ye
³

et al. 2009
International Journal of Solids and Structures
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a b s t r a c tIn this paper, a new boundary element (BE) approach is proposed to determine the singular stress field in plane V-notch structures. The method is based on an asymptotic expansion of the stresses in a small region around a notch tip and application of the conventional BE in the remaining region of the structure. The evaluation of stress singularities at a notch tip is transformed into an eigenvalue problem of ordinary differential equations that is solved by the interpolating matrix method in order to obtain singularity orders (degrees) and associated eigen-functions of the V-notch. The combination of the eigen-analysis for the small region and the conventional BE analysis for the remaining part of the structure results in both the singular stress field near the notch tip and the notch stress intensity factors (SIFs).Examples are given for V-notch plates made of isotropic materials. Comparisons and parametric studies on stresses and notch SIFs are carried out for various V-notch plates. The studies show that the new approach is accurate and effective in simulating singular stress fields in V-notch/crack structures.

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Numerical methods for the determination of multiple stress singularities and related stress intensity coefficients

Cited by 43 publications

References 26 publications

Stress intensity factor for small edge crack in interfacial singularity region

Stress intensity factor for small edge crack in interfacial singularity region

Predicting and Measuring the Strength Reduction of Sandwich Structures with Spliced Foam Cores

A new boundary element approach of modeling singular stress fields of plane V-notch problems

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