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Mode I SIF Determination of Orthotropic Laminates with Double-Ended Cracks Using a Single-Strain Gage

  • Debaleena ChakrabortyEmail author
  • D. Chakraborty
  • K. S. R. K. Murthy
Conference paper
  • 726 Downloads

Abstract

The experimental determination of mode I SIF (\(K_{I}\)) in orthotropic composites is significant, and strain gage-based approaches for SIF determination are quite economic and easy to use. Strain gage techniques that have been developed for measurement of \(K_{I}\) of orthotropic laminates are based on the solutions of single-ended crack theories. The present investigation aims at demonstrating the application of a single-strain gage technique (based on single-ended crack theory) recently proposed by the authors to double-ended cracked configurations for accurate measurement of KI. Finite element-based numerical analyses have been conducted on carbon-epoxy orthotropic laminates having center-cracked configurations. The existence and determination of optimal gage locations for accurate measurement of \(K_{I}\) have also been shown through numerical studies. Numerical results show that accurate values of \(K_{I}\) for double-ended cracked orthotropic laminates can be obtained with the help of a single-strain gage, when placed within the optimal zone.

Keywords

Orthotropic laminate Strain gage Mode I SIF Double ended cracks 

Nomenclature

\(a_{11} ,\;a_{12}\)

Material properties depending on Young’s modulus, Poisson’s ratio, and shear modulus

\(a_{22} ,\;a_{21}\)

Material properties depending on Young’s modulus, Poisson’s ratio, and shear modulus

\(\alpha ,\beta\)

Parameters dependent on material properties

\(E_{i}\)

Young’s modulus along \(i{\text{th}}\) direction \(\left( {i = L,T} \right)\)

\(G_{LT}\)

Shear modulus in LT plane

\(L,T\)

Principle material directions (longitudinal and transverse)

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Debaleena Chakraborty
    • 1
    Email author
  • D. Chakraborty
    • 1
  • K. S. R. K. Murthy
    • 1
  1. 1.Department of Mechanical EngineeringIIT GuwhatiGuwahatiIndia

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