Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic Beams

The present paper investigates lengthwise crack behaviour in three-axial inhomogeneous non-linear elastic cantilever beams, i.e., beams which exhibit inhomogeneous material properties along the width, height and length. The non-linear mechanical behaviour of the inhomogeneous material is described b...

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Main Author: Victor Iliev RIZOV
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 2019-03-01
Series:Engineering Transactions
Subjects:
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/909
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author Victor Iliev RIZOV
author_facet Victor Iliev RIZOV
author_sort Victor Iliev RIZOV
collection DOAJ
description The present paper investigates lengthwise crack behaviour in three-axial inhomogeneous non-linear elastic cantilever beams, i.e., beams which exhibit inhomogeneous material properties along the width, height and length. The non-linear mechanical behaviour of the inhomogeneous material is described by the Ramberg-Osgood equation assuming that the modulus of elasticity varies linearly along the width, height and length of beams. A solution to the strain energy release rate is derived by considering the balance of the energy. The results obtained in the present paper indicate that the three-axial inhomogeneous material properties have a significant influence on the strain energy release rate in non-linear elastic beams.
format Article
id doaj-art-9dbc391aa76c4c56a19f349cd9327ab0
institution Kabale University
issn 0867-888X
2450-8071
language English
publishDate 2019-03-01
publisher Institute of Fundamental Technological Research
record_format Article
series Engineering Transactions
spelling doaj-art-9dbc391aa76c4c56a19f349cd9327ab02025-08-20T03:49:50ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80712019-03-0167110.24423/EngTrans.909.20190308Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic BeamsVictor Iliev RIZOV0University of Architecture, Civil Engineering and GeodesyThe present paper investigates lengthwise crack behaviour in three-axial inhomogeneous non-linear elastic cantilever beams, i.e., beams which exhibit inhomogeneous material properties along the width, height and length. The non-linear mechanical behaviour of the inhomogeneous material is described by the Ramberg-Osgood equation assuming that the modulus of elasticity varies linearly along the width, height and length of beams. A solution to the strain energy release rate is derived by considering the balance of the energy. The results obtained in the present paper indicate that the three-axial inhomogeneous material properties have a significant influence on the strain energy release rate in non-linear elastic beams.https://et.ippt.pan.pl/index.php/et/article/view/909three-axial inhomogeneous beamlengthwise cracknon-linear mechanical behaviour of the material
spellingShingle Victor Iliev RIZOV
Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic Beams
Engineering Transactions
three-axial inhomogeneous beam
lengthwise crack
non-linear mechanical behaviour of the material
title Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic Beams
title_full Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic Beams
title_fullStr Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic Beams
title_full_unstemmed Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic Beams
title_short Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic Beams
title_sort effects of three axial material inhomogeneity on lengthwise cracks in non linear elastic beams
topic three-axial inhomogeneous beam
lengthwise crack
non-linear mechanical behaviour of the material
url https://et.ippt.pan.pl/index.php/et/article/view/909
work_keys_str_mv AT victorilievrizov effectsofthreeaxialmaterialinhomogeneityonlengthwisecracksinnonlinearelasticbeams