TY - JOUR
AU - Bhattacharyya, Ranjan
AB - The purpose of this article is to develop a class of universal relations for an incompressible isotropic electro-magneto-elastic (hereafter EME) material in order to generalize the continuum concept to electro-magneto-elasticity. In line with that, we adopt an electro-magneto-elasticity theory following the second law of thermodynamics-based approach. More precisely, we first extend a thermodynamically consistent deformation of a continua to a coupled EME interaction through a new amended energy function (hereafter AEF). This AEF succeeds the physical insight of the Maxwell stress tensor (hereafter MST) under large deformations. Next, we introduce a new inequality Tb-bT≠0\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathbf{Tb} -\mathbf{bT} \ne 0$$\end{document} for a class of an EME material parallel to an equation Tb-bT=0\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\mathbf{Tb} -\mathbf{bT} = 0$$\end{document} for a class of an elastic material existing in the literature. At last, the formulated universal relations are applied to some homogeneous and non-homogeneous deformations to exemplify the consequences of an electromagnetic field on the mechanical deformation. Additionally, the validity of the proposed universal relations in electro-magneto-elasticity is also checked by obtaining an existing universal relation in nonlinear elasticity in the absence of an applied electromagnetic field.
TI - Universal relations in nonlinear electro-magneto-elasticity
JF - Archive of Applied Mechanics
DO - 10.1007/s00419-020-01688-1
DA - 2020-03-09
UR - https://www.deepdyve.com/lp/springer-journals/universal-relations-in-nonlinear-electro-magneto-elasticity-Q0H7FN3rnr
SP - 1
EP - 15
VL - OnlineFirst
IS - 
DP - DeepDyve
ER -