The general form of the elastic stress and displacement fields of the finite cracked plate

Abstract

In this paper, the general forms of in-plane fields of a finite cracked plate have been achieved in the elastic range by expanding the potential functions of the infinite cracked plate about the crack tip. Subsequently, the stress intensity at the crack tip has been obtained. In addition, the numerical models have been provided by the finite element method.The effect of finite sizes on the stress and displacement fields has been detected and to validate the obtained analytical relations, the least-squares curve fitting has been used. Moreover, the calculated stress intensity correction factors have been compared with the existing results in the literature.

Closed-Form Solution of a Metal Plate With a Central Crack Under Tension

“…General relations for both finite and infinite cracked plates 19. Elastic stresses and displacements of the cracked plate (Seif and Kabir, 2016)…”

“…The primary objective of the present study is to build upon the previous research conducted by Seif and Kabir in 2016, which explored the analytical form of stress and displacement fields in finite cracked plates. In order to achieve this, we aim to present a closed-form solution that takes into consideration the equilibrium equations and boundary conditions, with the aim of determining the unknown coefficients.…”

Implementing an Accurate Generalized Gaussian Quadrature Solution to Find the Elastic Field in a Homogeneous Anisotropic Media

“…In this specific method, the proposed function is generally dependent on the geometry of the assumed problem. In the literature, the minimum potential energy method could be implemented for composite materials using a semi-analytical method (Weertman et al 1996, Kabir et al 2010, Seif et al 2016, Seif et al 2017. Where in these cases, the elastic field for an assumed media is considered under the applied mechanical loading.…”