Modified Green–Lindsay analysis of an electro-magneto elastic functionally graded medium with temperature dependency of materials

Mirparizi, Mina; Razavinasab, Seyed Mehdi

doi:10.1007/s11043-021-09517-w

Cited by 5 publications

(1 citation statement)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A reasonable iterative algorithm according to the proposed nonlinear formulation is presented. Independent mechanisms of equations will be achieved by dependent variables q U, , weight function ( Ŵ ) , and extending a weighted-integral expression of differential equations (1)-(3) [33,34]: The Hermite shape functions stated in the local coordinate ( x) [35][36][37]: Finally, the weak shape of the weighted residual equations is presented by:…”

Section: Numerical Presented Solutionsmentioning

confidence: 99%

One-dimensional electro- magneto-poro-thermoelastic wave propagation in a functionally graded medium with energy dissipation

Mirparizi¹,

Zhang²,

Amiri³

2022

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

Laser-induced wave propagation and reflection phenomenon in a functionally graded porous medium subjected to electro- magnetic field is studied in the present research. Firstly, a modified generalized thermoelastic theory named Modified Green Lindsay (MGL) for wave propagation in a porous medium is developed. The properties of the medium are considered as a temperature-dependent nonlinear function. Furthermore, the influence of thermal and mechanical rates in the modified generalized equations are considered. An updated FEM and Newmark’s technique are applied to solve the time-dependent and nonlinear equations. The second Piola-Kirchhoff stress, temperature and displacement distributions in the body subjected to laser shock are presented graphically. Based on the results, the wave propagation amplitude in the body subjected to heat flux reduces over time because of the backplane influenced by convection heat transfer. Wave propagation is more obvious in MGL simulation outcomes compared to the classical ones. In addition, it is observed that the MGL simulation is superior in presenting more exact wave propagation in comparison to the simple GL theory. As the boundary condition receives the most energy due to the laser pulse, the maximum variations of the volume fraction are experienced in this boundary.

show abstract