Hyperbolic heat conduction based weight function method for thermal fracture of functionally graded hollow cylinders

Date

2018-08-01

Author

Eshraghi, Iman
Soltani, Nasser
Dağ, Serkan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

203
views

0
downloads

This article introduces a weight function method for fracture analysis of a circumferentially cracked functionally graded hollow cylinder subjected to thermal loads. The non-Fourier hyperbolic heat conduction model is used to determine the transient temperature distribution in the functionally graded cylinder. Solutions for transient temperature and stress distributions in the uncracked cylinder are derived by converting the governing differential equations into Fredholm integral equations in the Laplace domain. A numerical Laplace inversion technique is used to calculate the wave-like temperature and stress solutions in the time domain. These solutions are utilized to determine stresses acting on the faces of the circumferential crack in the local perturbation problem. A weight function technique is developed to compute the corresponding mode I thermal stress intensity factors. Comparisons to the results generated by finite difference and finite element methods demonstrate the high level of accuracy attained by the application of the developed procedures. Further parametric analyses are presented to illustrate the influences of dimensionless time, crack depth to thickness ratio, power law index, and thermal relaxation time upon the stress intensity factors.

Subject Keywords

Functionally Graded Hollow Cylinders, Circumferential Crack, Thermal Loading, Hyperbolic Heat Conduction, Fredholm Integral Equation, Stress Intensity Factors

URI

https://hdl.handle.net/11511/36318

Journal

INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING

DOI

https://doi.org/10.1016/j.ijpvp.2018.07.008

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Computational elastodynamics of functionally graded thick-walled cylinders and annular coatings subjected to pressure shocks Abeidi, Abdelrahim; Dağ, Serkan (2022-12-01) A computational technique based on domain-boundary element method (D-BEM) is developed for elastodynamic analysis of functionally graded thick-walled cylinders and annular coatings subjected to pressure shock type of loadings. The formulation is built on the wave equation, which is derived in accordance with plane elastody-namics. Weighted residual statement for the wave equation is expressed by using the static fundamental solution as the weight function. Applying integration by parts and incorporating the...
Computational Methods for Inclined Cracks in Orthotropic Functionally Graded Materials Under Thermal Stresses Dağ, Serkan; TOPAL, SERRA (2013-10-03) This article sets forth two different computational methods developed to evaluate fracture parameters for inclined cracks lying in orthotropic functionally graded materials, that are under the effect of thermal stresses. The first method is based on the J(k)-integral, whereas the second entails the use of the J(1)-integral and the asymptotic displacement fields. The procedures introduced are implemented by means of the finite element method and integrated into a general purpose finite element analysis softw...
Three dimensional analysis of periodic cracking in FGM coatings under thermal stresses Dağ, Serkan; Erdogan, Fazil (2006-10-18) A three dimensional finite element method is used to examine periodic surface cracking problem in a functionally graded coating subjected to transient thermal loads. The ceramic/metal FGM coating is assumed to contain periodic semi-elliptical cracks and to be perfectly bonded to a homogeneous substrate. The composite structure is subjected to transient residual/thermal stresses. Temperature and displacement fields are computed using a three dimensional finite element approach. Finite element models are crea...
Weight function method for transient thermomechanical fracture analysis of a functionally graded hollow cylinder possessing a circumferential crack Eshraghi, Iman; Soltani, Nasser; Dağ, Serkan (Informa UK Limited, 2016-01-01) This article introduces a weight function method for fracture analysis of a circumferentially cracked functionally graded hollow cylinder subjected to transient thermomechanical loading. Analytical solutions for transient temperature and stress distributions in the uncracked cylinder are derived by applying finite Hankel transformation. These solutions are utilized to determine stress acting on the faces of the circumferential crack in the local perturbation problem. Thermomechanical material properties are...
Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach Dağ, Serkan (2006-12-01) A new computational method based on the equivalent domain integral (EDI) is developed for mode I fracture analysis of orthotropic functionally graded materials (FGMs) subjected to thermal stresses. By using the constitutive relations of plane orthotropic thermoelasticity, generalized definition of the J-integral is converted to an equivalent domain integral to calculate the thermal stress intensity factor. In the formulation of the EDI approach, all the required thermomechanical properties are assumed to ha...

Citation Formats

I. Eshraghi, N. Soltani, and S. Dağ, “Hyperbolic heat conduction based weight function method for thermal fracture of functionally graded hollow cylinders,” INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, pp. 249–262, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36318.