In this study, we have introduced, for the first time, a novel integral quasi-3D higher-order
shear deformation theory (HSDT) employing a third-order shape function. This approach is …

This article examines the impact of inclined transverse cracking on the natural frequency of
Euler-Bernoulli-model imperfect FG beams on an elastic foundation, taking into account the …

This paper proposes an FEA method to study the vibration and wave propagation in
functionally graded material (FGM) beams with multiple inclined cracks by introducing the …

The nonlinear deformation and vibrations of beams are frequently encountered as a typical
example of structural analysis as well as a mathematical problem. There have been many …

Cracks are the major cause for failure and dynamic fracture in different mechanical systems.
For this reason, in this study, a comprehensive study on dynamic behavior of bi-directional …

The contribution provided in this paper is to investigate the dynamic and buckling response
of bidirectional graded material beams (BDFB) with transverse cracks, considering different …

The contribution provided in this study is to investigate the dynamic response of Euler–
Bernoulli imperfect FG beams-cracked on Winkler-elastic foundation, considering pinned …

In this paper, the vibrational power flow of a cracked beam made of functionally graded
materials (FGMs) is investigated. The Young's modulus and mass density change …

A mathematical modeling is employed to investigate the axisymmetric nonlinear low-
frequency vibrations of a class of hyperelastic thin-walled cylindrical shells subjected to axial …

In this article, we analyze the effect of transverse cracks on the natural frequencies of Euler–
Bernoulli functionally graded beam, the studied beam was Discretized into finite elements …