Analytical solution for wave propagation problem of thermo-magnetically affected sigmoid FG bio-composite beams

• Published in: Acta mechanica 2024-05, Vol.235 (5), p.2945-2958
• Main Authors: Ge, Junfeng, Cao, Jianying, Su, Lisha, Fan, Caihong
• Format: Article
• Language: English
• Subjects: Biocompatibility; Biomedical materials; Classical and Continuum Physics; Composite beams; Composite materials; Composite structures; Control; Dental bridges; Dental implants; Dental materials; Dynamical Systems; Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics; Exact solutions; Functionally gradient materials; Harmonic functions; Heat and Mass Transfer; Hydroxyapatite; Magnetic fields; Material properties; Maxwell's equations; Mechanical properties; Original Paper; Parameter sensitivity; Propagation; Protective coatings; Shear deformation; Solid Mechanics; Theoretical and Applied Mechanics; Thermal environments; Titanium; Vibration; Wave propagation
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-024-03868-4

Dental implant surgery becomes a practical and useful procedure that can be an option, while the lack of natural tooth roots does not permit the replacement of artificial teeth or bridgework. New biomaterials such as functionally graded (FG) bio-composite materials for applying as constitutive materials of dental implants have lately attracted much attention owing to their capabilities and advantages in assuring biocompatibility and mechanical properties at the same time. In this investigation, the influence of a magnetic field on wave propagation responses of sigmoid FG bio-composite beam in the thermal environment was analyzed according to the refined higher-order shear deformation theory. The magnetic field is taken into account through Maxwell’s equations. Also, various patterns are accounted for the temperature change. The sigmoid power-law homogenization scheme is employed to determine the effective material properties of FG bio-composite structure. Also, in this research, material properties change along the beam thickness from titanium (metal phase) and hydroxyapatite (ceramic phase). The refined higher-order theory and principle of Hamilton have been applied to acquire the governing equations and the obtained equations are analytically solved via a harmonic function. Finally, the sensitivity of different considerable parameters has been investigated and discussed comprehensively.