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Purpose

The purpose of the current research work is to study the frequency responses of the FGM-sandwich structure with and without damage. The study has been stretched to investigate the influence of damage and various geometrical input parameters.

Design/methodology/approach

A higher-order kinematics is used to derive the mathematical model based on the isoparametric finite element (FE) technique. The crack is also modelled mathematically to obtain the desired numerical responses.

Findings

The uniformity and exactness of the numerical model are established by solving and equating a few numerical illustrations from the previously published results. Further, the effects of damage and geometrical characteristics on the structural final strength caused by static loading are provided in detail.

Originality/value

The analysis underscores the necessity of the developed mathematical model for evaluating the effect of damage and multiple geometrical input parameters.

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