A novel singular integral operator technique for analyzing semipermeable four collinear cracks in a magneto-electro-elastic solid based on the EMPS model.
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| Title: | A novel singular integral operator technique for analyzing semipermeable four collinear cracks in a magneto-electro-elastic solid based on the EMPS model. |
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| Authors: | Kumar, Ashish1 (AUTHOR), Sharma, Kuldeep1 (AUTHOR) kuldeeppurc@gmail.com, Bui, Tinh Quoc2 (AUTHOR) |
| Source: | Mathematics & Mechanics of Solids. Jun2026, Vol. 31 Issue 6, p1208-1240. 33p. |
| Subjects: | Singular integrals, Dislocation density, Stress intensity factors (Fracture mechanics), Microcracks |
| Abstract: | This manuscript introduces a novel analytical technique using singular integral operators (SIOs) to study the strip electric-magnetic polarization saturation (EMPS) model with four collinear cracks, including two pairs of symmetrical unequal cracks, embedded in an infinite magneto-electro-elastic (MEE) solid. By applying the EMPS model and the distributed dislocation technique (DDT) while leveraging symmetry, we formulate singular integral equations for the coupled mechanical, electrical, and magnetic cracks based on their dislocation density functions. These equations are then transformed into Cauchy-type singular integral equations using nonlinear transformation. Since the reduced system of singular integral equations is defined over two disjoint intervals, an SIO-based technique is developed for the problem where Cauchy-type SIOs and inverse operators for each dislocation density function are defined, and then using their identities, the analytical solutions for the unknown dislocation density functions are derived after simplification. Iterative methods are employed to determine semipermeable crack-face conditions and the lengths of saturated zones. Numerical analysis shows that the distances between cracks and the crack length ratio significantly affect the lengths of saturated zones, crack tip opening potential (CTOP), crack tip opening induction (CTOI), crack opening displacement (COD), and the local stress intensity factor (LSIF), while inter-crack distance variations have a negligible impact on crack-face conditions. Validation of the results for the specific cases of the stated problem confirms the accuracy and efficacy of the developed SIO-based technique and the analytical solutions. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematics & Mechanics of Solids is the property of Sage Publications Inc. 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: 193858391 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A novel singular integral operator technique for analyzing semipermeable four collinear cracks in a magneto-electro-elastic solid based on the EMPS model. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kumar%2C+Ashish%22">Kumar, Ashish</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sharma%2C+Kuldeep%22">Sharma, Kuldeep</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kuldeeppurc@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Bui%2C+Tinh+Quoc%22">Bui, Tinh Quoc</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematics+%26+Mechanics+of+Solids%22">Mathematics & Mechanics of Solids</searchLink>. Jun2026, Vol. 31 Issue 6, p1208-1240. 33p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Singular+integrals%22">Singular integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Dislocation+density%22">Dislocation density</searchLink><br /><searchLink fieldCode="DE" term="%22Stress+intensity+factors+%28Fracture+mechanics%29%22">Stress intensity factors (Fracture mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Microcracks%22">Microcracks</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This manuscript introduces a novel analytical technique using singular integral operators (SIOs) to study the strip electric-magnetic polarization saturation (EMPS) model with four collinear cracks, including two pairs of symmetrical unequal cracks, embedded in an infinite magneto-electro-elastic (MEE) solid. By applying the EMPS model and the distributed dislocation technique (DDT) while leveraging symmetry, we formulate singular integral equations for the coupled mechanical, electrical, and magnetic cracks based on their dislocation density functions. These equations are then transformed into Cauchy-type singular integral equations using nonlinear transformation. Since the reduced system of singular integral equations is defined over two disjoint intervals, an SIO-based technique is developed for the problem where Cauchy-type SIOs and inverse operators for each dislocation density function are defined, and then using their identities, the analytical solutions for the unknown dislocation density functions are derived after simplification. Iterative methods are employed to determine semipermeable crack-face conditions and the lengths of saturated zones. Numerical analysis shows that the distances between cracks and the crack length ratio significantly affect the lengths of saturated zones, crack tip opening potential (CTOP), crack tip opening induction (CTOI), crack opening displacement (COD), and the local stress intensity factor (LSIF), while inter-crack distance variations have a negligible impact on crack-face conditions. Validation of the results for the specific cases of the stated problem confirms the accuracy and efficacy of the developed SIO-based technique and the analytical solutions. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematics & Mechanics of Solids is the property of Sage Publications Inc. 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: 10.1177/10812865251337797 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 33 StartPage: 1208 Subjects: – SubjectFull: Singular integrals Type: general – SubjectFull: Dislocation density Type: general – SubjectFull: Stress intensity factors (Fracture mechanics) Type: general – SubjectFull: Microcracks Type: general Titles: – TitleFull: A novel singular integral operator technique for analyzing semipermeable four collinear cracks in a magneto-electro-elastic solid based on the EMPS model. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kumar, Ashish – PersonEntity: Name: NameFull: Sharma, Kuldeep – PersonEntity: Name: NameFull: Bui, Tinh Quoc IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 10812865 Numbering: – Type: volume Value: 31 – Type: issue Value: 6 Titles: – TitleFull: Mathematics & Mechanics of Solids Type: main |
| ResultId | 1 |
