Thermal stresses of a cubic quasicrystal circular disc. (September 2022)

• Record Type: Journal Article
• Authors: Long, F.; Li, X.-F.
• Is Part Of: Mechanics research communications. Volume 124(2022)
• Publication Date: 2022-09
• Subjects: Thermal stress -- Cubic quasicrystal -- Disc -- Semi-inversion method; Mechanics, Applied -- Periodicals; Mécanique appliquée -- Périodiques; Mechanics, Applied; Periodicals; 530
• DOI: 10.1016/j.mechrescom.2022.103913
• Languages: English
• ISSNs: 0093-6413

Abstract

Abstract: This paper presents a thermoelastic solution for a circular disc made of cubic quasicrystal. Using the semi-inversion method, the thermal stresses are presented when the disc is subjected to temperature change of a quadratic function of radius or constant internal heat source. We find that the displacements and strains in the phonon and phason fields are angle-dependent, while the phonon and phason stresses are axisymmetric and do not rely on the angle. Moreover, the thermal stresses exhibit a parabolic axisymmetric distribution, where the strains display an angle-dependent non-axisymmetric behavior. Highlights: Thermoelastic problems of a cubic quasicrystal is studied. The thermal stresses of a circular disc are determined analytically. The thermal stresses are axisymmetric for parabolic temperature change. The thermal strains and displacements are angle-dependent.