A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate

A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate

The intricacy in Lekhnitskii’s available single power series solution for stress distribution around hole edge for both circular and noncircular holes represented by a hole shape parameter ε is decoupled by introducing a new technique. Unknown coefficients in the power series in ε are solved by an i...

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Main Authors: Mohan Pradeep, Kumar R. Ramesh
Format: Article
Language:English
Published: Sciendo 2020-03-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
power series
stress ratio
non-circular hole
Online Access:https://doi.org/10.2478/ijame-2020-0007
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spelling doaj-6b08d5405dfb4842bfe87b29608c72872021-09-05T21:02:03ZengSciendoInternational Journal of Applied Mechanics and Engineering1734-44922353-90032020-03-012519210510.2478/ijame-2020-0007ijame-2020-0007A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic LaminateMohan Pradeep0Kumar R. Ramesh1Mar Baselios College of Engineering and Technology,Thiruvananthapuram - 695015, IndiaDepartment of Mechanical Engineering, Sree Chitra Thirunal College of Engineering, Thiruvananthapuram - 695035, IndiaThe intricacy in Lekhnitskii’s available single power series solution for stress distribution around hole edge for both circular and noncircular holes represented by a hole shape parameter ε is decoupled by introducing a new technique. Unknown coefficients in the power series in ε are solved by an iterative technique. Full field stress distribution is obtained by following an available method on Fourier solution. The present analytical solution for reinforced square hole in an orthotropic infinite plate is derived by completely eliminating stress singularity that depends on the concept of stress ratio. The region of validity of the present analytical solution on reinforcement area is arrived at based on a comparison with the finite element analysis. The present study will also be useful for deriving analytical solution for orthotropic shell with reinforced noncircular holes.https://doi.org/10.2478/ijame-2020-0007power seriesstress rationon-circular hole
collection DOAJ
language English
format Article
sources DOAJ
author Mohan Pradeep
Kumar R. Ramesh
spellingShingle Mohan Pradeep
Kumar R. Ramesh
A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate
International Journal of Applied Mechanics and Engineering
power series
stress ratio
non-circular hole
author_facet Mohan Pradeep
Kumar R. Ramesh
author_sort Mohan Pradeep
title A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate
title_short A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate
title_full A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate
title_fullStr A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate
title_full_unstemmed A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate
title_sort non-singular analytical technique for reinforced non-circular holes in orthotropic laminate
publisher Sciendo
series International Journal of Applied Mechanics and Engineering
issn 1734-4492
2353-9003
publishDate 2020-03-01
description The intricacy in Lekhnitskii’s available single power series solution for stress distribution around hole edge for both circular and noncircular holes represented by a hole shape parameter ε is decoupled by introducing a new technique. Unknown coefficients in the power series in ε are solved by an iterative technique. Full field stress distribution is obtained by following an available method on Fourier solution. The present analytical solution for reinforced square hole in an orthotropic infinite plate is derived by completely eliminating stress singularity that depends on the concept of stress ratio. The region of validity of the present analytical solution on reinforcement area is arrived at based on a comparison with the finite element analysis. The present study will also be useful for deriving analytical solution for orthotropic shell with reinforced noncircular holes.
topic power series
stress ratio
non-circular hole
url https://doi.org/10.2478/ijame-2020-0007
work_keys_str_mv AT mohanpradeep anonsingularanalyticaltechniqueforreinforcednoncircularholesinorthotropiclaminate
AT kumarrramesh anonsingularanalyticaltechniqueforreinforcednoncircularholesinorthotropiclaminate
AT mohanpradeep nonsingularanalyticaltechniqueforreinforcednoncircularholesinorthotropiclaminate
AT kumarrramesh nonsingularanalyticaltechniqueforreinforcednoncircularholesinorthotropiclaminate
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