Numerical size estimates of inclusions in Kirchhoff–Love elastic plates. (15th August 2019)

• Record Type: Journal Article
• Authors: Bilotta, Antonio; Morassi, Antonino; Rosset, Edi; Turco, Emilio; Vessella, Sergio
• Is Part Of: International journal of solids and structures. Volume 168(2019)
• Page Start: 58
• Page End: 72
• Publication Date: 2019-08-15
• Subjects: Non-destructive tests -- Kirchhoff-Love plates -- Inclusions -- Size estimates; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2019.03.006
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: The size estimates approach for Kirchhoff–Love elastic plates allows to determine upper and lower bounds of the area of an unknown elastic inclusion by measuring the work developed by applying a couple field on the boundary of the plate. Although the analytical process by which such bounds are determined is of constructive type, it leads to rather pessimistic evaluations. In this paper we show by numerical simulations how to obtain such bounds for practical applications of the method. The computations are developed for a square plate under various boundary loads and for inclusions of different position, shape and stiffness. The sensitivity of the results with respect to the relevant parameters is also analyzed.