NDLI: Fractional order two-temperature thermoelasticity with finite wave speed

Content Provider	Springer Nature Link
Author	Sur, Abhik Karia, M.
Copyright Year	2012
Abstract	In this paper, a new theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of heat conduction with fractional orders. The two-temperature Lord–Shulman (2TLS) model and two-temperature Green–Naghdi (2TGN) models of thermoelasticity are combined into a unified formulation using the unified parameters. The basic equations have been written in the form of a vector-matrix differential equation in the Laplace transform domain which is then solved by using a state-space approach. The inversions of Laplace transforms are computed numerically using the method of Fourier series expansion technique. The numerical estimates of the quantities of physical interest are obtained and depicted graphically. Some comparisons of the thermophysical quantities are shown in figures to estimate the effects of the temperature discrepancy and the fractional order parameter.
Starting Page	2685
Ending Page	2701
Page Count	17
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	223
Issue Number	12
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2012-10-04
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Continuum Mechanics and Mechanics of Materials Engineering Thermodynamics, Heat and Mass Transfer Theoretical and Applied Mechanics Classical Continuum Physics Vibration, Dynamical Systems, Control Structural Mechanics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Two-dimensional thermal shock problem of fractional order generalized thermoelasticity

On fractional order generalized thermoelasticity with micromodeling

Fractional generalized Hamiltonian mechanics

Fractional Birkhoffian mechanics

Fractional Nambu dynamics

Viscothermoelasticity with finite wave speeds: thermomechanical laws

Size-dependent generalized thermoelasticity model for Timoshenko microbeams

On the thermodynamically consistent fractional wave equation for viscoelastic solids

Noether’s theorem for fractional Birkhoffian systems of variable order

Fractional order two-temperature thermoelasticity with finite wave speed

Similar Documents

Two-dimensional thermal shock problem of fractional order generalized thermoelasticity

On fractional order generalized thermoelasticity with micromodeling

Fractional generalized Hamiltonian mechanics

Fractional Birkhoffian mechanics

Fractional Nambu dynamics

Viscothermoelasticity with finite wave speeds: thermomechanical laws

Size-dependent generalized thermoelasticity model for Timoshenko microbeams

On the thermodynamically consistent fractional wave equation for viscoelastic solids

Noether’s theorem for fractional Birkhoffian systems of variable order

Fractional order two-temperature thermoelasticity with finite wave speed