Certain issues in the analytical integration of the Boussinesq problem.
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| Title: | Certain issues in the analytical integration of the Boussinesq problem. |
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| Authors: | Nagirniak, Mykola1 mykola_nagirniak@sggw.edu.pl, Chalecki, Marek1 marek_chalecki@sggw.edu.pl |
| Source: | Fracture & Structural Integrity. Jan2026, Issue 75, p213-219. 7p. |
| Subjects: | Green's functions, Mathematica (Computer software), Strains & stresses (Mechanics), Software versioning, Boussinesq equations, Integrals |
| Abstract: | The article focuses on the challenges associated with the analytical integration of the Boussinesq problem, particularly in the context of using Green functions to determine displacement and stress fields in an elastic half-space under various loading conditions. It highlights discrepancies in results obtained from different versions of the Wolfram Mathematica software, emphasizing that earlier versions may yield mathematically non-equivalent results. The study recommends using the latest software versions for reliable symbolic computations and suggests verifying results through additional checks to avoid potential errors in engineering applications. The findings underscore the importance of software version consistency in achieving accurate analytical solutions in elasticity problems. [Extracted from the article] |
| Copyright of Fracture & Structural Integrity is the property of Gruppo Italiano Frattura 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 | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 190502541 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Certain issues in the analytical integration of the Boussinesq problem. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Nagirniak%2C+Mykola%22">Nagirniak, Mykola</searchLink><relatesTo>1</relatesTo><i> mykola_nagirniak@sggw.edu.pl</i><br /><searchLink fieldCode="AR" term="%22Chalecki%2C+Marek%22">Chalecki, Marek</searchLink><relatesTo>1</relatesTo><i> marek_chalecki@sggw.edu.pl</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Fracture+%26+Structural+Integrity%22">Fracture & Structural Integrity</searchLink>. Jan2026, Issue 75, p213-219. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Green's+functions%22">Green's functions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematica+%28Computer+software%29%22">Mathematica (Computer software)</searchLink><br /><searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Software+versioning%22">Software versioning</searchLink><br /><searchLink fieldCode="DE" term="%22Boussinesq+equations%22">Boussinesq equations</searchLink><br /><searchLink fieldCode="DE" term="%22Integrals%22">Integrals</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The article focuses on the challenges associated with the analytical integration of the Boussinesq problem, particularly in the context of using Green functions to determine displacement and stress fields in an elastic half-space under various loading conditions. It highlights discrepancies in results obtained from different versions of the Wolfram Mathematica software, emphasizing that earlier versions may yield mathematically non-equivalent results. The study recommends using the latest software versions for reliable symbolic computations and suggests verifying results through additional checks to avoid potential errors in engineering applications. The findings underscore the importance of software version consistency in achieving accurate analytical solutions in elasticity problems. [Extracted from the article] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Fracture & Structural Integrity is the property of Gruppo Italiano Frattura 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=190502541 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3221/IGF-ESIS.75.15 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 213 Subjects: – SubjectFull: Green's functions Type: general – SubjectFull: Mathematica (Computer software) Type: general – SubjectFull: Strains & stresses (Mechanics) Type: general – SubjectFull: Software versioning Type: general – SubjectFull: Boussinesq equations Type: general – SubjectFull: Integrals Type: general Titles: – TitleFull: Certain issues in the analytical integration of the Boussinesq problem. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Nagirniak, Mykola – PersonEntity: Name: NameFull: Chalecki, Marek IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19718993 Numbering: – Type: issue Value: 75 Titles: – TitleFull: Fracture & Structural Integrity Type: main |
| ResultId | 1 |
