Stochastic investigation of the facture problem in functionally graded materials with uncertain mechanical properties and an arbitrarily oriented crack.
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| Title: | Stochastic investigation of the facture problem in functionally graded materials with uncertain mechanical properties and an arbitrarily oriented crack. |
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| Authors: | Pan, Haizhu1,2 pan_haizhu@163.com, Song, Tianshu1 593552258@qq.com |
| Source: | Theoretical & Applied Fracture Mechanics. Oct2017, Vol. 91, p155-165. 11p. |
| Subjects: | Stochastic analysis, Fracture mechanics, Functionally gradient materials, Probability theory, Density functionals |
| Abstract: | The macro and micro analysis methods of the fracture mechanics are adopted to investigate the fracture mechanics problem of functionally graded materials (FGMs) with uncertain mechanical properties and an arbitrarily oriented crack. In this paper, the piecewise-exponential model and the Mori-Tanaka model are combined to solve the mixed-mode crack problem for every sample analytically. Then according to the probability theory, the mixed-mode SIFs for the samples are obtained. So the probabilistic attributes of the mixed-mode SIFs in FGMs can be obtained. As a result, the probabilistic density function of SIFs can be provided by means of the graphic method. The method based on macro and micro mechanics can be efficiently applied to carry out the related research of the influences of the crack angles and lengths on the stochastic characteristics of the mixed-mode SIFs. [ABSTRACT FROM AUTHOR] |
| Copyright of Theoretical & Applied Fracture Mechanics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 125468398 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Stochastic investigation of the facture problem in functionally graded materials with uncertain mechanical properties and an arbitrarily oriented crack. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Pan%2C+Haizhu%22">Pan, Haizhu</searchLink><relatesTo>1,2</relatesTo><i> pan_haizhu@163.com</i><br /><searchLink fieldCode="AR" term="%22Song%2C+Tianshu%22">Song, Tianshu</searchLink><relatesTo>1</relatesTo><i> 593552258@qq.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Theoretical+%26+Applied+Fracture+Mechanics%22">Theoretical & Applied Fracture Mechanics</searchLink>. Oct2017, Vol. 91, p155-165. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Stochastic+analysis%22">Stochastic analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Fracture+mechanics%22">Fracture mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Functionally+gradient+materials%22">Functionally gradient materials</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+theory%22">Probability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Density+functionals%22">Density functionals</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The macro and micro analysis methods of the fracture mechanics are adopted to investigate the fracture mechanics problem of functionally graded materials (FGMs) with uncertain mechanical properties and an arbitrarily oriented crack. In this paper, the piecewise-exponential model and the Mori-Tanaka model are combined to solve the mixed-mode crack problem for every sample analytically. Then according to the probability theory, the mixed-mode SIFs for the samples are obtained. So the probabilistic attributes of the mixed-mode SIFs in FGMs can be obtained. As a result, the probabilistic density function of SIFs can be provided by means of the graphic method. The method based on macro and micro mechanics can be efficiently applied to carry out the related research of the influences of the crack angles and lengths on the stochastic characteristics of the mixed-mode SIFs. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Theoretical & Applied Fracture Mechanics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.tafmec.2017.07.002 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 155 Subjects: – SubjectFull: Stochastic analysis Type: general – SubjectFull: Fracture mechanics Type: general – SubjectFull: Functionally gradient materials Type: general – SubjectFull: Probability theory Type: general – SubjectFull: Density functionals Type: general Titles: – TitleFull: Stochastic investigation of the facture problem in functionally graded materials with uncertain mechanical properties and an arbitrarily oriented crack. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Pan, Haizhu – PersonEntity: Name: NameFull: Song, Tianshu IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 01678442 Numbering: – Type: volume Value: 91 Titles: – TitleFull: Theoretical & Applied Fracture Mechanics Type: main |
| ResultId | 1 |
