Skip to main navigation Skip to search Skip to main content

Fractional order generalized electro-magneto-thermo-elasticity with magnetic monopoles and geometrical nonlinearity

  • Xi'an Jiaotong University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Recently, Youssef developed the fractional order generalized thermoelasticity (FOGTE) in the context of extended thermoelasticity (ETE). In this work, we extended the concept of fractional calculus into the temperature rate dependent thermoelasticity (TRDTE) and introduced the unified form of the two cases. Upon introducing the electromagnetic field with magnetic monopoles and considering the geometrical nonlinearity, we proposed a fractional order generalized electro-magneto- thermo-elasticity (FOGEMm-poleTEg-non) with magnetic monopoles (m-pole) and geometrical nonlinearity (g-non). To deal with multi-physics problems using numerical methods, we obtained a generalized variational theorem by using the semi-inverse method.

Original languageEnglish
Title of host publicationManufacturing and Engineering Developments
Pages162-166
Number of pages5
DOIs
StatePublished - 2013
Event2nd International Conference on Innovation Manufacturing and Engineering Management, IMEM 2012 - Chongqing, China
Duration: 14 Dec 201216 Dec 2012

Publication series

NameApplied Mechanics and Materials
Volume273
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Conference

Conference2nd International Conference on Innovation Manufacturing and Engineering Management, IMEM 2012
Country/TerritoryChina
CityChongqing
Period14/12/1216/12/12

Keywords

  • Fractional calculus
  • Generalized electro-magneto-thermo-elasticity
  • Geometrical nonlinearity
  • Magnetic monopoles
  • Variational theorem

Fingerprint

Dive into the research topics of 'Fractional order generalized electro-magneto-thermo-elasticity with magnetic monopoles and geometrical nonlinearity'. Together they form a unique fingerprint.

Cite this