<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The finite element method (FEM) is developed for coupled thermoelastic crack problems if material properties are continuously varying. The weak form is utilized to derive the FEM equations. In conventional fracture theories the state of stress and strain at the crack tip vicinity is characterized by a single fracture parameter, namely the stress intensity factor or its equivalent, J-integral. In the present paper it is considered also the second fracture parameter called as the T-stress. For evaluation of both fracture parameters the quarter-point crack tip element is developed. Simple formulas for both fracture parameters are derived comparing the variation of displacements in the quarter-point element with asymptotic expression of displacement at the crack tip vicinity. The leading terms of the asymptotic expansions of fields in the crack-tip vicinity in a functionally graded material (FGM) are the same as in a homogeneous one with material coefficients taken at the crack tip.</p></abstract>

The finite element method (FEM) is developed for coupled thermoelastic crack problems if material properties are continuously varying. The weak form is utilized to derive the FEM equations. In conventional fracture theories the state of stress and strain at the crack tip vicinity is characterized by a single fracture parameter, namely the stress intensity factor or its equivalent, J-integral. In the present paper it is considered also the second fracture parameter called as the T-stress. For evaluation of both fracture parameters the quarter-point crack tip element is developed. Simple formulas for both fracture parameters are derived comparing the variation of displacements in the quarter-point element with asymptotic expression of displacement at the crack tip vicinity. The leading terms of the asymptotic expansions of fields in the crack-tip vicinity in a functionally graded material (FGM) are the same as in a homogeneous one with material coefficients taken at the crack tip.

Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials

Institute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, Slovakia,

Institute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, Slovakia

Strojnícky časopis - Journal of Mechanical Engineering

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

The finite element method (FEM) is developed for coupled thermoelastic crack problems if material properties are continuously varying. The weak form is...

Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials

Published Online: Jan 29, 2016

Page range: 57 - 76

DOI: https://doi.org/10.1515/scjme-2016-0004

Keywords
FGM, thermoelasticity, FEM, fracture, SIFS, T-stresses

© 2016

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

Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials

Published Online: Jan 29, 2016

Page range: 57 - 76

DOI: https://doi.org/10.1515/scjme-2016-0004

KeywordsFGM, thermoelasticity, FEM, fracture, SIFS, T-stresses

© 2016

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

Keywords
FGM, thermoelasticity, FEM, fracture, SIFS, T-stresses