A note on the generalized thermoelasticity theory with memory dependent derivatives

[+] Author and Article Information
Soumen Shaw

Department of Mathematics, IIEST, Shibpur, India

1Corresponding author.

ASME doi:10.1115/1.4036461 History: Received November 19, 2016; Revised April 11, 2017


In this note, two aspects in the theory of heat conduction model with memory dependent derivatives are studied. Firstly, the discontinuity solutions of the memory dependent generalized thermo-elasticity model is analysed. The fundamental equations of the problem are expressed in the form of a vector matrix differential equation. Applying modal decomposition technique the vector matrix differential equation is solved by eigenvalue approach in Laplace transform domain. In order to obtain the solution in the physical domain an approximate method by using asymptotic expansion is applied for short time domain and analyse the nature of the waves and discontinuity of the solutions. Secondly, a suitable Lyapunov function, which will be an important tool to study several qualitative properties, is proposed.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In