Three-dimensional tensile stress concentration in countersunk rivet holes

Bhargava, Anil K.; Shivakumar, Kunigal

doi:10.1017/s0001924000001895

Cited by 19 publications

(17 citation statements)

References 9 publications

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“…With this estimate, the meshes in the highly damaged regions were significantly refined using ABAQUS S3R, planestress, reduced integration, triangular shell elements. An adequate number of elements were used near the notch tip to ensure that the stress and strain gradients had converged (Bhargava and Shivakumar 2007). The mesh used is shown in Fig.…”

Section: Figmentioning

confidence: 99%

Progressive damage and failure modeling in notched laminated fiber reinforced composites

et al. 2009

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A novel progressive damage and failure model for fiber reinforced laminated composites is presented in this work. The model uses the thermodynamically based Schapery Theory (ST) to model progressive microdamage in the matrix phase. Matrix failure is not governed with a matrix failure criterion, but rather matrix failure occurs naturally through the evolution of microdamage. A maximum strain criterion is used to dictate tensile failure in the fiber direction, while compressive failure is automatically accounted for by allowing local fiber rotations and tracking the evolution of rotation. The results of this model are compared to a previously developed model that used ST at the lamina level to calculate matrix microdamage, but used the Generalized Method of Cells to resolve the lamina level strains into constituent level stresses and strains and determines constituent failure by evaluating failure criteria at the micro, fiber/matrix level. Results for global load versus displacement and local strain from both models are compared to experimental data for notched laminates loaded in uniaxial tension. The results show remarkable agreement qualitatively, and in many cases the quantitative agreement is good. Accurate damage contours and failure paths are predicted.

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Section: Figmentioning

confidence: 99%

Progressive damage and failure modeling in notched laminated fiber reinforced composites

et al. 2009

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“…Furthermore, an empirical design equation in reference [3] was found to be inaccurate. Therefore, an exhaustive finite element (FE) study on stress concentration in countersunk rivet holes subjected to tension was repeated and from those FE results a general equation for stress concentration factor K t was developed and verified [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

A three‐dimensional strain concentration equation for countersunk holes

Bhargava¹,

Shivakumar

2008

The Journal of Strain Analysis for Engineering Design

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Countersunk rivets are used to join components to achieve aerodynamic or hydrodynamic surfaces. At countersunk holes, three-dimensional stress and strain concentrations occur. Previously, the present authors developed a three-dimensional equation for the stress concentration factor K t through a detailed finite element analysis. This paper extends the study to include an equation for three-dimensional strain concentration factor K te using a similar approach. The resulting equation was verified by finite element analysis for a wide range of countersunk hole configurations and plate sizes. Results showed that the maximum strain concentration is at the countersunk edge. The developed equation is within 5 per cent of the finite element results for all practical cases. It was also found that the K te and K t expressions are similar and K te ¡ K t. The maximum difference between the two is 8 per cent (for n 5 0.3) or n 2 for straight-shank holes and about n 2 /2 for countersunk holes. The proposed equation is a valuable tool for strain-based design of structural elements.

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“…Recently, a number of solutions have appeared to the SCF's in plates [19,20] thick cylinders [21], shells [22], valves [23], key-ways [24] rivets [25]. Since there remain no solutions available for the stress distributions in plates containing straight-sided, inclined slots, here we present time-honoured photoelastic analyses of their stress concentration factors.…”

Section: Resultsmentioning

confidence: 99%

Stress Concentrations for Slotted Plates in Bi-Axial Stress

Rees¹,

Bahai²

2012

ENG

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The photo-elastic method has been employed to determine stress concentration factor (SCF) for square plates containing holes and inclined slots when the plate edges are subjected to in-plane tension combined with compression. Analyses given of the isochromatic fringe pattern surrounding the hole provides the SCF conveniently. The model material is calibrated from the known solution to the stress raiser arising from a small circular hole in a plate placed under biaxial tension-compression. These results also compare well with a plane stress FE analysis. Consequently, photo-elasticity has enabled SCF's to be determined experimentally for a biaxial stress ratio, nominally equal to -4, in plates containing a long, thin slot arranged to be in alignment with each stress axis. The two, principal stresses lying along axes of symmetry in the region surrounding the notch are separated within each isochromatic fringe by the Kuske method [1]. FE provides a comparable full-field view in which contours of maximum shear stress may be identified with the isochromatic fringe pattern directly. The principal stress distributions referred to the plate axes show their maximum concentrations at the notch boundary. Here up to a fourfold magnification occurs in the greater of the two nominal stresses under loads applied to the plate edges. Thus, it is of importance to establish the manner in which the tangential stress is distributed around the slot boundary. Conveniently, it is shown how this distribution is also revealed from an isochromatic fringe pattern, within which lie the points of maximum tension and maximum compression.

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Three-dimensional tensile stress concentration in countersunk rivet holes

Cited by 19 publications

References 9 publications

Progressive damage and failure modeling in notched laminated fiber reinforced composites

Progressive damage and failure modeling in notched laminated fiber reinforced composites

A three‐dimensional strain concentration equation for countersunk holes

Stress Concentrations for Slotted Plates in Bi-Axial Stress

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