Abstract

There exists a great variety of structural failure modes which must be frequently inspected to ensure continuous structural integrity of composite structures. This work presents a finite element (FE) based method for calculating wave interaction with damage within structures of arbitrary layering and geometric complexity. The principal novelty is the investigation of pre-stress effect on wave propagation and scattering in layered structures. A wave finite element (WFE) method, which combines FE analysis with periodic structure theory (PST), is used to predict the wave propagation properties along periodic waveguides of the structural system. This is then coupled to the full FE model of a coupling joint within which structural damage is modelled, in order to quantify wave interaction coefficients through the joint. Pre-stress impact is quantified by comparison of results under pressurised and non-pressurised scenarios. The results show that including these pressurisation effects in calculations is essential. This is of specific relevance to aircraft structures being intensely pressurised while on air. Numerical case studies are exhibited for different forms of damage type. The exhibited results are validated against available analytical and experimental results.

Highlights

  • Composite structures are increasingly used in modern aerospace and automobile industries due to their well-known benefits

  • The developed non-destructive evaluation (NDE) approaches can be classified into matrix formulation techniques: in which ultrasonic waves in layered media are defined by coupling the matrix formulation of each of the layers which constitute the media, and wave propagation techniques: which strongly rely on the calculation of dispersion curves and wave interaction reflection and transmission coefficients to inspect and evaluate structural media

  • Modelling parameters used for the wave finite element (WFE)/finite element (FE) methodology are chosen to match those used for the full FE simulation and the experimental measurements in [39]

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Summary

Introduction

Composite structures are increasingly used in modern aerospace and automobile industries due to their well-known benefits. The developed NDE approaches can be classified into matrix formulation techniques: in which ultrasonic waves in layered media are defined by coupling the matrix formulation of each of the layers which constitute the media, and wave propagation techniques: which strongly rely on the calculation of dispersion curves and wave interaction reflection and transmission coefficients to inspect and evaluate structural media. The pre-stress effect is evaluated by comparing the wave response (dispersion and reflection properties) of the pressurised structure to that of non-pressurised structure. This is exhibited through presented numerical case studies. Descriptions of each of these methods and their applicability are given

Stiffness Property of a Pressurised Structure
Finite Element Modelling of Structural Damage
Stiffness Reduction Method
Node Duplication Method
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Kinematics Based Method
Free Wave Propagation in an Arbitrarily Periodic Structure by WFE Method
Elastic Wave Interaction Modelling by Hybrid WFE-FE Approach
Numerical Case Studies
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Two Collinear Bars Coupled Through a Finite Bar
Delaminated Beam
Notched Plate
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Transversely-Isotropic Beam
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Sandwich Beam
Concluding Remarks
Full Text
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