Dynamic response of cracked non‐homogeneous magneto‐electro‐elastic layer sandwiched by two dissimilar orthotropic layers

This paper is concerned with the transient response of cracked functionally graded magneto‐electro‐elastic layer (FGMEE) bonded between dissimilar orthotropic layers under impacts. Fourier and Laplace transforms are employed to obtain the analytical solution of a dynamic magneto‐electro‐elastic disl...

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Vydané v:Fatigue & fracture of engineering materials & structures Ročník 45; číslo 5; s. 1448 - 1463
Hlavní autori: Arhani, Afzal Akbari, Ayatollahi, Mojtaba
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford Wiley Subscription Services, Inc 01.05.2022
Predmet:
Algorithms
Crack geometry
Cracks
Dislocation density
Dynamic response
dynamic stress intensity factor
Elastic layers
Exact solutions
functionally graded magneto‐electro‐elastic layer
Green's functions
Homogeneity
impact loads
Integral equations
Laplace transforms
Linear algebra
multiple cracks
orthotropic layer
Singular integral equations
Stress intensity factors
transient analysis
Transient response
ISSN:8756-758X, 1460-2695
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Shrnutí:This paper is concerned with the transient response of cracked functionally graded magneto‐electro‐elastic layer (FGMEE) bonded between dissimilar orthotropic layers under impacts. Fourier and Laplace transforms are employed to obtain the analytical solution of a dynamic magneto‐electro‐elastic dislocation with time‐dependent Burgers' vector at the FGMEE layer. Expressions for stress, electric displacement, and magnetic inductions in the vicinity of the magneto‐electro‐elastic dislocation are derived. The solutions are used to derive singular integral equations for the FGMEE layer containing multiple cracks. Then, the integral equations are solved numerically for the density of dislocations on a crack surface by converting them to a system of linear algebraic equations. Finally, a numerical Laplace inversion algorithm is employed to determine the dynamic stress intensity factor. Numerical examples demonstrate the effects of the non‐homogeneity parameter of the FGMEE layer, applied electric and magnetic loads, and the crack geometry on the dynamic stress intensity. This solution can be used as a Green's function to solve transient problems involving multiple cracks in a functionally graded magneto‐electro‐elastic layer. Highlights Cracked FGMEE layer sandwiched by two dissimilar orthotropic layers is investigated. Interaction of multiple cracks is studied for layered smart structure under sudden load. The analysis can be applied for any number of cracks with arbitrary arrangement. The effects of the non‐homogeneity parameter and crack location on DSIFs are discussed.
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ISSN:8756-758X
1460-2695
DOI:10.1111/ffe.13673