A complete Galerkin’s type approach of finite element for the solution of a problem on modified Green–Lindsay thermoelasticity for a functionally graded hollow disk

Shivay, Om Namha; Mukhopadhyay, Santwana

doi:10.1016/j.euromechsol.2019.103914

Cited by 16 publications

(1 citation statement)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For fully coupled thermal-stress problems this means that the influence of thermal shock affects the magnitude and pattern of temperature and stresses instantaneously in the solution process. The nonlinear equations of electro-magneto-porothermoelasticity applying MGL simulation and finite strain theory using Piola-Kirchhof stress is presented in this section [24][25][26][27]. The strain equation is considered based on the finite strain theory:…”

Section: The Generalized Thermoelasticity Equations Of Porous Mediums...mentioning

confidence: 99%

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

Mirparizi¹,

Zhang²,

Amiri³

2022

Phys. Scr.

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

Section: The Generalized Thermoelasticity Equations Of Porous Mediums...mentioning

confidence: 99%

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

Mirparizi¹,

Zhang²,

Amiri³

2022

Phys. Scr.

View full text Add to dashboard Cite

show abstract

Relaxation effects on thermoelastic interactions for time-dependent moving heat source under a recent model of thermoelasticity

Singh

Mukhopadhyay

2021

Z. Angew. Math. Phys.

View full text Add to dashboard Cite

An investigation of the thermomechanical effects of mode-I crack under modified Green–Lindsay theory

Kumar,

Prasad

2024

Arch Appl Mech

View full text Add to dashboard Cite

A complete Galerkin’s type approach of finite element for the solution of a problem on modified Green–Lindsay thermoelasticity for a functionally graded hollow disk

Cited by 16 publications

References 38 publications

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

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

Relaxation effects on thermoelastic interactions for time-dependent moving heat source under a recent model of thermoelasticity

An investigation of the thermomechanical effects of mode-I crack under modified Green–Lindsay theory

Contact Info

Product

Resources

About