Hole-shape optimization in a finite plate in the presence of auxiliary holes

Rajaiah, K.; Naik, N.K.

doi:10.1007/bf02324999

Cited by 24 publications

(11 citation statements)

References 9 publications

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“…From equations (2) and (3), and satisfying the traction-free conditions on the edge of a round hole, the individual components of stress become those of equations (4)-(6) 36…”

Section: Relevant Stress Equationsmentioning

confidence: 99%

“…Knowing the stress consequences associated with adjacent geometric discontinuities is important relative to design and structural integrity. [1][2][3][4][5][6] Introducing auxiliary holes can increase structural strength in isotropic or orthotropic materials. 5 Nevertheless, relatively little stress information is available for finite structures containing nearby holes or notches of different sizes.…”

Section: Introductionmentioning

confidence: 99%

“…Few experimental stress analyses of loaded members containing multiple cutouts are available and virtually all of them employ photoelasticity. 2,3,30–32 Rajaiah and Naik 2 optimized hole geometry to reduce stress concentration factors, whereas Meguid and Gong 3 applied a photoelastic-based correction factor to an infinite analytical solution in terms of complex variables to investigate stress concentrations in a multiple-perforated finite member. Recognizing the propensity for time-edge effects and machining stresses, the authors used the stress freezing technique.…”

Section: Introductionmentioning

confidence: 99%

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Stresses associated with multiple holes whose individual stresses interact

Khaja

Rowlands

2017

The Journal of Strain Analysis for Engineering Design

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The stress consequences of adding an auxiliary hole in the neighborhood of an original hole are determined from the load-induced thermal information when the geometric discontinuities are sufficiently close together that their respective stresses interact. The particular situation involves a smaller round hole near a larger round hole in a finite, isotropic tensile member where the holes are aligned in the direction of loading. Introducing a second hole reduces the stresses at each hole had it alone been present. The results correlate well with those from finite elements, strain gage and load equilibrium. The developed technology has relevance for isotropic, orthotropic or functionally graded materials.

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“…From equations (2) and (3), and satisfying the traction-free conditions on the edge of a round hole, the individual components of stress become those of equations (4)-(6) 36…”

Section: Relevant Stress Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stresses associated with multiple holes whose individual stresses interact

Khaja

Rowlands

2017

The Journal of Strain Analysis for Engineering Design

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“…Meguid [1986Meguid [ , 1989 studied the reduction of the stress concentration in a uniaxially loaded plate with two coaxial holes using Finite Element Analysis (FEA). Rajaiah and Naik [1984] investigated hole-shape optimization in a finite plate in the presence of auxiliary holes by using a two-dimensional photoelastic method. Naik et al [1986] optimized the hole shapes in beams under pure bending.…”

Section: Introductionmentioning

confidence: 99%

Defense Hole Design for a Shear Dominant Loaded Plate

Akour

Nayfeh

Nicholson

2010

Int. J. Appl. Mechanics

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Baseline data is produced for designing an optimum Defense Hole System (DHS) for a large plate with a circular hole in shear dominant-load range. Stress concentration associated with circular holes for tensile/shear ratio ranging from 0% to 25% is reduced by 13.5% to 16.67%, respectively. This reduction is achieved by introducing auxiliary elliptical holes (i.e., DHS) along the principal stress directions. Each pair lies along the same principal direction has the same geometry and placement on either side of the main hole. These holes are placed in the low stress regions. With such reduction in the maximum stress level, the improvement in fatigue life of a structural part can be very significant. Both redesign optimization and parametric optimization techniques are utilized to reach the optimum solutions and to generate the baseline data. Finite Element Analysis (FEA) is used to evaluate the stresses and to optimize the size and location of the DHS. The optimum cases are validated using the RGB-photoelasticity technique. Three main goals are achieved by introducing such holes: maximum stress reduction, working as crack arrest in case a crack propagates, and material reduction.

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“…3,4 Rajaiah and Naik utilized 2D photoelastic methods to perform hole-shaped optimization in a finite plate with auxiliary holes. 5 Ulrich and Moslehy 6 used boundary element techniques to reduce stress concentration in plates by introducing optimally shaped auxiliary holes. Durelli et al investigated how to optimize geometric discontinuities in the stress field developed under uniaxial loading.…”

Section: Introductionmentioning

confidence: 99%

Design and optimization of defense hole system for biaxial-loaded composite laminates

Akour

Al-Husban²

2015

Proceedings of the Institution of Mechanical Engineers, Part L:

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Design optimization of defense hole systems placed near the main circular cutout of composite laminated plates subject to biaxial loading is performed in this study. For that purpose, a numerical framework based on finite element models validated experimentally via RGB-photoelasticity and by reproducing selected cases available in literature is developed. Redesign optimization technique is utilized to reach the optimum geometric design parameters of the defense hole system, i.e., size and location. Parametric study for fiber orientation, biaxial loading ratio, stiffness ratio and stacking sequence is conducted as well. Stress concentration near circular cutouts can be reduced by 24.5%, 25.5%, 29.1%, 31.7% and 20.6% for values of the loading ratio equal to, respectively, 0, 0.25, 0.50, 0.75 and 1. Such significant reductions are obtained by introducing four elliptical defense holes along the principal stress direction lined up with fibers.

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Hole-shape optimization in a finite plate in the presence of auxiliary holes

Cited by 24 publications

References 9 publications

Stresses associated with multiple holes whose individual stresses interact

Stresses associated with multiple holes whose individual stresses interact

Defense Hole Design for a Shear Dominant Loaded Plate

Design and optimization of defense hole system for biaxial-loaded composite laminates

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