Dynamic Response of Composite Materials with 2D Reduced Micromorphic Model

Dhaba, A. R. El; Lim, C.W.

doi:10.1007/s10338-021-00289-x

Cited by 3 publications

(1 citation statement)

References 23 publications

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“…Following similar guidelines as in 22 , 23 , COMSOL Multiphysics is used to solve the considered boundary-value problem for Eqs. ( 26 – 33 ) under the boundary conditions ( 46 – 52 ) and zero initial conditions.…”

Section: Numerical Applicationmentioning

confidence: 99%

On a two-dimensional model of generalized thermoelasticity with application

Ahmed

El-Dhaba

Abou-Dina

et al. 2022

Sci Rep

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A 2D first order linear system of partial differential equations of plane strain thermoelasticity within the frame of extended thermodynamics is presented and analyzed. The system is composed of the equations of classical thermoelasticity in which displacements are replaced with velocities, complemented with Cattaneo evolution equation for heat flux. For a particular choice of the characteristic quantities and for positive thermal conductivity, it is shown that this system may be cast in a form that is symmetric t-hyperbolic without further recurrence to entropy principle. While hyperbolicity means a finite speed of propagation of heat waves, it is known that symmetric hyperbolic systems have the desirable property of well-posedness of Cauchy problems. A study of the characteristics of this system is carried out, and an energy integral is derived, that can be used to prove uniqueness of solution under some boundary conditions. A numerical application for a finite slab is considered and the numerical results are plotted and discussed. In particular, the wave propagation nature of the solution is put in evidence.

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Section: Numerical Applicationmentioning

confidence: 99%