A thermally-coupled elastic large-deformation model of a multilayered functionally graded material curved beam. (15th July 2020)

• Record Type: Journal Article
• Authors: Hu, Yu-Jia; Zhou, Hongtao; Zhu, Weidong; Zhu, Jianmin
• Is Part Of: Composite structures. Volume 244(2020)
• Publication Date: 2020-07-15
• Subjects: Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2020.112241
• Languages: English
• ISSNs: 0263-8223

Abstract

Highlights: A new thermally-coupled elastic large-deformation model of multilayered FGM is proposed. The classical concept of a neutral axis of a beam is not used here. An accurate two-variable model of strain distribution on a cross-section of a beam is obtained. The coupled effect of axial and bending deformations is fully considered here. Various snap-through phenomena occur when the FGM curved beam is under thermal–mechanical loads. Abstract: A thermally-coupled elastic large-deformation model of a multilayered functionally graded material (FGM) curved beam with an arbitrary undeformed configuration is established based on two-variable geometrical relations that consider the effect of the curvature of an arbitrary undeformed configuration of a beam, thermally coupled constitutive relations, and balanced forces. By use of a reference strain and reference undeformed and deformed curvatures at the same reference layer of a multilayered FGM curved beam, the difficulty of determining the position of the neutral axis of a beam in its classical analysis is resolved. The differential quadrature method is used to solve the strongly nonlinear coupled model proposed in this work. As applications, thermally-coupled large-deformation analyses of a multilayered straight beam and FGM and multilayered FGM curved beams under thermal–mechanical loads are studied in detail. Numerical results show that there are significant differences between the current thermally coupled analysis and conventional thermoelastic analysis with a thermally-uncoupled constitutive relation. Various snap-through phenomena occur when the FGM curved beam is under thermal–mechanical loads.