Two-dimensional fractal-like finite element method for thermoelastic crack analysis

D. K L Tsang; S. O. Oyadiji; A. Y T Leung

doi:10.1016/j.ijsolstr.2007.05.008

Two-dimensional fractal-like finite element method for thermoelastic crack analysis

D. K L Tsang, S. O. Oyadiji, A. Y T Leung

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

26 Citations (Scopus)

Abstract

The fractal-like finite element method has been proved to be very efficient and accurate in two-dimensional static and dynamic crack problems. In this paper, we extend our previous study to include the thermal effect for two-dimensional isotropic thermal crack problems. Both the temperature intensity factor and thermal stress intensity factor can be calculated directly. The temperature distribution is first found, which is imposed thereafter as a thermal load in the elastic problem. The transformation function used in the study has been found analytically. The effects of different thermal loading on the thermal stress intensity factor are presented. The numerical examples are compared with the results from other methods and find to be in good agreement. © 2007 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	7862-7876
Journal	International Journal of Solids and Structures
Volume	44
Issue number	24
DOIs	https://doi.org/10.1016/j.ijsolstr.2007.05.008
Publication status	Published - 1 Dec 2007
Externally published	Yes

Research Keywords

Finite element methods
Fracture mechanics
Stress intensity factor
Thermal stress

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title = "Two-dimensional fractal-like finite element method for thermoelastic crack analysis",

abstract = "The fractal-like finite element method has been proved to be very efficient and accurate in two-dimensional static and dynamic crack problems. In this paper, we extend our previous study to include the thermal effect for two-dimensional isotropic thermal crack problems. Both the temperature intensity factor and thermal stress intensity factor can be calculated directly. The temperature distribution is first found, which is imposed thereafter as a thermal load in the elastic problem. The transformation function used in the study has been found analytically. The effects of different thermal loading on the thermal stress intensity factor are presented. The numerical examples are compared with the results from other methods and find to be in good agreement. {\textcopyright} 2007 Elsevier Ltd. All rights reserved.",

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T1 - Two-dimensional fractal-like finite element method for thermoelastic crack analysis

AU - Tsang, D. K L

AU - Oyadiji, S. O.

AU - Leung, A. Y T

PY - 2007/12/1

Y1 - 2007/12/1

N2 - The fractal-like finite element method has been proved to be very efficient and accurate in two-dimensional static and dynamic crack problems. In this paper, we extend our previous study to include the thermal effect for two-dimensional isotropic thermal crack problems. Both the temperature intensity factor and thermal stress intensity factor can be calculated directly. The temperature distribution is first found, which is imposed thereafter as a thermal load in the elastic problem. The transformation function used in the study has been found analytically. The effects of different thermal loading on the thermal stress intensity factor are presented. The numerical examples are compared with the results from other methods and find to be in good agreement. © 2007 Elsevier Ltd. All rights reserved.

AB - The fractal-like finite element method has been proved to be very efficient and accurate in two-dimensional static and dynamic crack problems. In this paper, we extend our previous study to include the thermal effect for two-dimensional isotropic thermal crack problems. Both the temperature intensity factor and thermal stress intensity factor can be calculated directly. The temperature distribution is first found, which is imposed thereafter as a thermal load in the elastic problem. The transformation function used in the study has been found analytically. The effects of different thermal loading on the thermal stress intensity factor are presented. The numerical examples are compared with the results from other methods and find to be in good agreement. © 2007 Elsevier Ltd. All rights reserved.

KW - Finite element methods

KW - Fracture mechanics

KW - Stress intensity factor

KW - Thermal stress

UR - http://www.scopus.com/inward/record.url?scp=35148870642&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-35148870642&origin=recordpage

U2 - 10.1016/j.ijsolstr.2007.05.008

DO - 10.1016/j.ijsolstr.2007.05.008

M3 - RGC 21 - Publication in refereed journal

SN - 0020-7683

VL - 44

SP - 7862

EP - 7876

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 24

ER -

Two-dimensional fractal-like finite element method for thermoelastic crack analysis

Abstract

Research Keywords

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