Analysis of multiple parallel cracks in a functionally graded magneto-electro-elastic plane using boundary collocation method

Singh, Ritika; Das, Subir

doi:10.1007/s00419-023-02506-0

Arch Appl Mech

2023

DOI: 10.1007/s00419-023-02506-0

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Analysis of multiple parallel cracks in a functionally graded magneto-electro-elastic plane using boundary collocation method

Ritika Singh,

Subir Das

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2024

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Cited by 2 publications

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Reinforced crack propagation in a prestressed and prepolarized piezoelectric material

Ghita,

Craciun

2024

Composite Structures

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Reinforced crack propagation in a prestressed and prepolarized piezoelectric material

Ghita,

Craciun

2024

Composite Structures

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Random Dynamic Responses of Two Parallel Interfacial Cracks Between a Functionally Graded Material Strip and Two Dissimilar Elastic Strips

Singh

2024

ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering

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An analytical approach is presented in this article for the random dynamic study of two parallel interfacial cracks in a functionally graded material (FGM) strip that is bonded between two distinct elastic strips. One of the parallel cracks is placed at the interface of the elastic strip I and the FGM strip, and another is at the interface of the FGM strip and elastic strip II. A stationary stochastic process of time is used to model the dynamic loadings that are applied to the crack faces. To find the solution, the FGM strip is splited into a number of sub-strips, and using an average method, the material properties of each sub-strip are reduced to random variables. A fundamental problem is formulated to find the solution. The boundary conditions are reduced to a set of singular integral equations employing the Fourier sine, Fourier cosine, and Laplace transforms, which are solved by using the Collocation method. Further, the analytical expressions of dynamic stress intensity factors (DSIFs) about the crack tips in the time domain are obtained with the help of the Improved Dubner and Abate's method. Finally, the Monte Carlo method is used to obtain the mathematical expectation and standard deviation of DSIFs. The outcomes of the present study are also verified. The unique aspect of this study is the pictorial illustration of mathematical expectation and standard deviation as functions of the number of sub-strips, functionally graded parameter, thickness of the strips, and length of parallel interfacial cracks.

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Analysis of multiple parallel cracks in a functionally graded magneto-electro-elastic plane using boundary collocation method

Cited by 2 publications

References 22 publications

Reinforced crack propagation in a prestressed and prepolarized piezoelectric material

Reinforced crack propagation in a prestressed and prepolarized piezoelectric material

Random Dynamic Responses of Two Parallel Interfacial Cracks Between a Functionally Graded Material Strip and Two Dissimilar Elastic Strips

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