1. Wave packet enriched finite element for accurate modelling of thermoelectroelastic wave propagation in functionally graded solids.
- Author
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Kumar, Amit and Kapuria, Santosh
- Subjects
- *
WAVE packets , *THEORY of wave motion , *FINITE element method , *LAMB waves , *SHOCK waves , *THERMAL shock - Abstract
A wave packet enriched finite element (FE) formulation featuring electrothermomechanical coupling is presented for solving two-dimensional wave propagation problems in functionally graded elastic and piezoelectric media. The FE equations for the Lord-Shulman and Green-Lindsay theories of generalized piezothermoelasticity are derived, where the standard Lagrangian interpolation functions of the temperature, electric potential, and displacement field variables are extrinsically enriched with element-domain sinusoidal wave-packet functions and are solved using the Newmark– β direct time integration. The effective properties of the functionally graded material (FGM) are computed using the volume-fraction-based micromechanics models, the Mori-Tanaka model and Voigt's rule of mixture (ROM) model. A variety of wave propagation problems, including the mechanically and electrically excited high-frequency Lamb wave propagation in FGM plates, impact waves in FGM bars, and thermal shock waves in functionally graded piezoelectric cylinders, are solved using the present formulation, and results are validated with available solutions. The efficacy of the current solution in comparison with the conventional FE is evaluated for all the studied problems. The effect of the inhomogeneity parameter on the transient wave behaviour is also presented for all the problems. The results of the Mori–Tanaka model are compared with those of the widely used ROM. • Wave packet enriched finite element developed for wave propagation problems in functionally graded media. • Accurately captures the sharp discontinuities at wavefronts in the solutions of thermoelectric shock problems. • Considers Mori-Tanaka and rule of mixtures for effective properties of functionally graded piezoelastic materials. • Accurately captures wave modes in an FGM cylinder under axial impact without the spurious oscillations shown by standard FEM. • Amplitudes of Lamb wave modes caused by material inhomogeneity in the FGM plate are maximum when n = 1. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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