Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials
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...
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Online Access: | https://doi.org/10.1515/scjme-2016-0004 |
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doaj-acce2467042148978820ee998ea0e1ef2021-09-05T14:00:26ZengSciendoJournal of Mechanical Engineering2450-54712015-11-01651577610.1515/scjme-2016-0004scjme-2016-0004Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded MaterialsRepka M.0Sládek J.1Sládek V.2Wünsche M.3Institute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, SlovakiaInstitute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, SlovakiaInstitute of Construction and Architecture, Slovak Academy of Sciences, 845 03 Bratislava, SlovakiaDepartment of Civil Engineering, GermanyThe 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.https://doi.org/10.1515/scjme-2016-0004fgmthermoelasticityfemfracturesifst-stresses |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Repka M. Sládek J. Sládek V. Wünsche M. |
spellingShingle |
Repka M. Sládek J. Sládek V. Wünsche M. Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials Journal of Mechanical Engineering fgm thermoelasticity fem fracture sifs t-stresses |
author_facet |
Repka M. Sládek J. Sládek V. Wünsche M. |
author_sort |
Repka M. |
title |
Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials |
title_short |
Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials |
title_full |
Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials |
title_fullStr |
Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials |
title_full_unstemmed |
Evaluation of Fracture Parameters for Cracks in Coupled Thermoelasticity for Functionally Graded Materials |
title_sort |
evaluation of fracture parameters for cracks in coupled thermoelasticity for functionally graded materials |
publisher |
Sciendo |
series |
Journal of Mechanical Engineering |
issn |
2450-5471 |
publishDate |
2015-11-01 |
description |
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. |
topic |
fgm thermoelasticity fem fracture sifs t-stresses |
url |
https://doi.org/10.1515/scjme-2016-0004 |
work_keys_str_mv |
AT repkam evaluationoffractureparametersforcracksincoupledthermoelasticityforfunctionallygradedmaterials AT sladekj evaluationoffractureparametersforcracksincoupledthermoelasticityforfunctionallygradedmaterials AT sladekv evaluationoffractureparametersforcracksincoupledthermoelasticityforfunctionallygradedmaterials AT wunschem evaluationoffractureparametersforcracksincoupledthermoelasticityforfunctionallygradedmaterials |
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