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Effects of Combined Delamination and Crack Damage on Natural Frequency and Strain Energy Release Rate in Adhesively Bonded Joints Under Thermal Condition: FEA and Experimental Validation

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Abstract

Purpose

The present study investigates the combined influence of delamination and cracks within the adherend of an adhesively bonded single lap joint (SLJ) on the natural frequency response and strain energy release rate (SERR) values under a thermal environment.

Method

The natural frequency response and SERR values of the SLJ are determined through the finite element analysis (FEA) employing Lanczos perturbation and virtual crack closer technique (VCCT), and the acquired results are verified against published data.

Results

Furthermore, the precision of the developed FEA model is confirmed by conducting vibration tests utilizing LABVIEW software. These tests are performed under varying thermal conditions, including both ambient and elevated thermal conditions (ΔT = 5 °C, 10 °C, and 15 °C) within a controlled thermal chamber. This comprehensive methodology encompasses a variety of adhesively bonded joints with damage (delamination and crack). Multiple simulation cases are investigated while ensuring consistent environmental conditions, influencing the outcomes.

Conclusions

The FEA model is extended to investigate the effect of various factors, such as overlapping length (Lo), adhesive thickness ratio (a/h), delamination location, and delamination shape on natural frequency response. Similarly, the influence of fiber lay-up scheme and delamination with different orientations of the crack on SERR values is examined.

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Data Availability

There is no such third-party data has been utilized in this analysis. However, the generated data in the form of results are already within the text, and if anything, more is required can be provided with a reasonable request.

Abbreviations

cDAQ:

Compact data acquisition

FSDT:

First order shear deformation theory

FRP:

Fiber reinforced polymer

HSDT:

Higher-order shear deformation theory

SLJ:

Single lap joint

SERR:

Strain energy release rate

VCCT:

Virtual crack closer technique

\(\left\{ {\overline{x}} \right\}\) :

Eigenvector

\(\lambda\) :

Eigenvalue

\(\omega\) :

Frequency response

\(\left\{ F \right\}\) :

Fixed load

G I :

SERR in Mode-I

G II :

SERR in Mode-II

G III :

SERR in Mode-III

ΔT:

Change in temperature

L :

Adherend length

W :

Adherend and adhesive breadth

t :

Adherend thickness

a :

Adhesive length

h :

Adhesive thickness

L o :

Overlap length

Lc :

Length of clamping

a/h :

Thickness ratio of adhesive bond

R :

Circular delamination radius

R c :

Curvature of the crack radius

l :

Crack length

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  1. Department of Mechanical Engineering, National Institute of Technology, Rourkela, 769008, India

    Naveen Kumar Akkasali & Sandhyarani Biswas

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  1. Naveen Kumar Akkasali
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Akkasali, N.K., Biswas, S. Effects of Combined Delamination and Crack Damage on Natural Frequency and Strain Energy Release Rate in Adhesively Bonded Joints Under Thermal Condition: FEA and Experimental Validation. J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01341-z

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