Certain issues in the analytical integration of the Boussinesq problem.

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Bibliographic Details
Title: Certain issues in the analytical integration of the Boussinesq problem.
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]
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Database: Engineering Source
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