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Applicant:
Indian Institute of Technology (IIT) Patna 
Author:
D Kumar, S Sarangi, P Saxena 
Corresponding Authors:
D Kumar, S Sarangi, P Saxena 
DOI #:
https://doi.org/10.1016/j.mechmat.2019.103308 
Title:
Universal relations in coupled electro-magneto-elasticity 
Journal:
Mechanics of Materials 
Year:
2020 
Volume:
143 
Page:
103308 
Keywords:
Smart materials, Electro-magneto-elasticity, Coupled universal relations, Deformation families 
Abstract:
In the present work, we develop a class of the coupled universal relations with the possible forms of electromagneto-elastic (EME) deformation families in smart materials. In line with that, we adopt a classical continuum mechanics-based approach following the second law of thermodynamics. More precisely, we first formulate the deformation of an EME continua through the fundamental laws of physics with an amended form of energy function. This amended energy function successfully resolves the physical interpretation of the Maxwell stress tensor under large deformations. Next, we develop the EME coupling type of universal relations through a new inequality Tb bT − ≠ 0 for a class of an EME material parallel to an equation Tb bT − = 0 for an isotropic elastic material existing in the literature. Wherein, T and b denote the total Cauchy stress tensor and left CauchyGreen deformation tensor, respectively. Further, we propose the possible forms of EME deformation families in smart materials for some standard experimental arrangements. At last, we also apply the above findings to a magnetostriction phenomenon in order to check the practical feasibility of the same and a good agreement is achieved successfully.  
Entered by:
Venkata Dantham on 2020-08-04 
 
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