On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic Body

In this paper, we extend some results involving the energy release rate in the case of the propagation of a straight crack in an elastic solid. These results, approached by Gurtin and Yatomi in classical elasticity, are generalized in order to cover a Cosserat-type elastic body. We also investigate...

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Main Authors: Marin Marin, Sorin Vlase, Ioan Tuns
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/18/3226
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author Marin Marin
Sorin Vlase
Ioan Tuns
author_facet Marin Marin
Sorin Vlase
Ioan Tuns
author_sort Marin Marin
collection DOAJ
description In this paper, we extend some results involving the energy release rate in the case of the propagation of a straight crack in an elastic solid. These results, approached by Gurtin and Yatomi in classical elasticity, are generalized in order to cover a Cosserat-type elastic body. We also investigate the effects of the microinertia and the couple stresses on the energy release rate.
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spelling doaj.art-8c3535999a184f019015edc4599cff9a2023-11-23T17:35:11ZengMDPI AGMathematics2227-73902022-09-011018322610.3390/math10183226On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic BodyMarin Marin0Sorin Vlase1Ioan Tuns2Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, RomaniaDepartment of Mechanical Engineering, Transilvania University of Brasov, 500036 Brasov, RomaniaDepartment of Civil Engineering, Transilvania University of Brasov, 500036 Brasov, RomaniaIn this paper, we extend some results involving the energy release rate in the case of the propagation of a straight crack in an elastic solid. These results, approached by Gurtin and Yatomi in classical elasticity, are generalized in order to cover a Cosserat-type elastic body. We also investigate the effects of the microinertia and the couple stresses on the energy release rate.https://www.mdpi.com/2227-7390/10/18/3226Cosserat bodieselasticitypropagationstraight crackenergy release rate
spellingShingle Marin Marin
Sorin Vlase
Ioan Tuns
On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic Body
Mathematics
Cosserat bodies
elasticity
propagation
straight crack
energy release rate
title On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic Body
title_full On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic Body
title_fullStr On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic Body
title_full_unstemmed On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic Body
title_short On Energy Release Rate for Propagation of a Straight Crack in a Cosserat Elastic Body
title_sort on energy release rate for propagation of a straight crack in a cosserat elastic body
topic Cosserat bodies
elasticity
propagation
straight crack
energy release rate
url https://www.mdpi.com/2227-7390/10/18/3226
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