Path-independent J-integral for cracks in decagonal quasicrystals

Path-independent J-integral for cracks in decagonal quasicrystals

The path-independent J-integral is derived for fracture mechanics analysis of decagonal quasicrystals (QCs). The gradient theory of quasicrystals is developed here to consider large strain gradients at the crack tip vicinity. The constitutive equations contain phonon and phason stresses, and the hig...

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Main Authors: Sladek Jan, Sladek Vladimir, Repka Miroslav
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:MATEC Web of Conferences
Online Access:https://www.matec-conferences.org/articles/matecconf/pdf/2020/06/matecconf_space20_00006.pdf
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spelling doaj-4b56db20e1dc4975ae0b365e0f341fd62021-08-05T13:49:49ZengEDP SciencesMATEC Web of Conferences2261-236X2020-01-013100000610.1051/matecconf/202031000006matecconf_space20_00006Path-independent J-integral for cracks in decagonal quasicrystalsSladek Jan0Sladek Vladimir1Repka Miroslav2Institute of Construction and Architecture, Slovak Academy of SciencesInstitute of Construction and Architecture, Slovak Academy of SciencesInstitute of Construction and Architecture, Slovak Academy of SciencesThe path-independent J-integral is derived for fracture mechanics analysis of decagonal quasicrystals (QCs). The gradient theory of quasicrystals is developed here to consider large strain gradients at the crack tip vicinity. The constitutive equations contain phonon and phason stresses, and the higher-order stress tensor. The higher-order elastic material parameters are proportional to the internal length material parameter and the conventional elastic coefficients. The FEM equations are derived to solve general boundary value problems for the strain gradient theory of the QCs.https://www.matec-conferences.org/articles/matecconf/pdf/2020/06/matecconf_space20_00006.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Sladek Jan
Sladek Vladimir
Repka Miroslav
spellingShingle Sladek Jan
Sladek Vladimir
Repka Miroslav
Path-independent J-integral for cracks in decagonal quasicrystals
MATEC Web of Conferences
author_facet Sladek Jan
Sladek Vladimir
Repka Miroslav
author_sort Sladek Jan
title Path-independent J-integral for cracks in decagonal quasicrystals
title_short Path-independent J-integral for cracks in decagonal quasicrystals
title_full Path-independent J-integral for cracks in decagonal quasicrystals
title_fullStr Path-independent J-integral for cracks in decagonal quasicrystals
title_full_unstemmed Path-independent J-integral for cracks in decagonal quasicrystals
title_sort path-independent j-integral for cracks in decagonal quasicrystals
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2020-01-01
description The path-independent J-integral is derived for fracture mechanics analysis of decagonal quasicrystals (QCs). The gradient theory of quasicrystals is developed here to consider large strain gradients at the crack tip vicinity. The constitutive equations contain phonon and phason stresses, and the higher-order stress tensor. The higher-order elastic material parameters are proportional to the internal length material parameter and the conventional elastic coefficients. The FEM equations are derived to solve general boundary value problems for the strain gradient theory of the QCs.
url https://www.matec-conferences.org/articles/matecconf/pdf/2020/06/matecconf_space20_00006.pdf
work_keys_str_mv AT sladekjan pathindependentjintegralforcracksindecagonalquasicrystals
AT sladekvladimir pathindependentjintegralforcracksindecagonalquasicrystals
AT repkamiroslav pathindependentjintegralforcracksindecagonalquasicrystals
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