Back close

Representation of solution of strain gradient dual-phase-lag thermoelasticity and effects of scale length parameter in half- space

Publication Type : Journal Article

Publisher : Mathematics and Mechanics of Solids

Source : Mathematics and Mechanics of Solids, 28 (7), 1708–1719

Url : https://journals.sagepub.com/doi/abs/10.1177/10812865221124873

Campus : Amaravati

School : School of Physical Sciences

Department : Mathematics

Year : 2022

Abstract : This work concerns the strain gradient theory of thermoelasticity with dual-phase-lag model. We obtain the Galerkin-type representation solution of the field equations. The strain gradient scale-length parameter plays an essential role in the material response. Therefore, we analyze the microstructural effect through the scale-length parameter on an isotropic thermoelastic half-space. We formulate the problem with a suitable boundary condition. The solution of the different field variables such as temperature, displacement, stresses, and double stresses is obtained in the Laplace transform domain. Then, we apply a numerical method for Laplace inversion to find the solution for different fields in the physical domain. The results are displayed in graphical form to show the microstructural effect through the scale-length parameter.

Cite this Research Publication : Prasad, R., Sachan, S., & Kumar, R. (2022). Representation of solution of strain gradient dual-phase-lag thermoelasticity and effects of scale length parameter in half- space. Mathematics and Mechanics of Solids, 28 (7), 1708–1719. (doi:10.1080/10.1177/0123456789123456)

Admissions Apply Now