Two-dimensional Beltrami–Michell equations for a mixture of two linear elastic solids and some applications using the Airy stress function. (1st May 2015)

• Record Type: Journal Article
• Authors: Muti, Süleyman; Dokuz, M. Salih
• Is Part Of: International journal of solids and structures. Volume 59(2015)
• Page Start: 140
• Page End: 146
• Publication Date: 2015-05-01
• Subjects: Elastic mixtures -- Beltrami–Michell equation -- Airy stress function -- Two-dimensional formulation; 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.2015.01.022
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: This paper presents the derivation of the Beltrami–Michell equations for plane stress and plane strain for a mixture of binary linear elastic solids. These equations are then used to solve the thin rotating circular disk and long rotating cylindrical rod problems by employing the Airy stress function, without neglecting the body forces of the constituents. The effect of the parameter α 2 (the diffusive force coefficient) on the behavior of the mixture constituents is also investigated.