User:Omre12

A physical issue of the Maxwell Stress Tensor under large deformation:

In the past and the current scenario, two different research groups exist from the view-point of the "'Maxwell Stress Tensor." In between them, a group debate is going on. The first one is the theoretician's group, and the other one is the experimentalist group. What is happening? One group criticizes the "'Maxwell Stress Tensor"; however, another directly uses it. According to the theoretician's group aspect, unlike the Mechanical Stress Tensor, which is also defined by the "'Cauchy Stress Tensor'" in elasticity, the "'Maxwell" force is a long-range in nature, just like the body force. It does not arise from boundary contact forces and can lead to incorrect physical interpretations. On the other hand, the experimentalist group is directly using the "'Maxwell Stress Tensor'" for the total stress tensor in electro-magneto-elasticity. The second group ignores the physical aspect from the view-point of continuum mechanics.

In between, what did 'Maxwell state? In general, Maxwell showed that the electric forces between the conductors in a vacuum could be calculated by invoking a field of stress in the vacuum. Based on the arguments mentioned above and their explanations, we clear our stand about the 'Maxwell Stress Tensor with our explanation for the present work. The 'Maxwell Stress Tensor is a second-order tensor that may be used in classical electromagnetism to represent the interaction between the electromagnetic forces and the mechanical momentum under a limited deformation range. But, in a large deformation range, the concept of the 'Maxwell Stress Tensor may lead to an incorrect physical interpretation of the resulting solutions of the governing equations. This is because of the electrostrictive and magnetostrictive effects, which play a vital role in the case of the large deformation condition. Our published article mentioned below includes the electrostrictive and magnetostrictive effects under large deformation, which are generally neglected in the existing literature. Zhao and Suo also modeled the same for an electrostriction phenomenon. We agree with the explanation given by Bustamante et al. previously related to the same, but they excluded the electrostrictive effect in their analysis.

The significant details can be found in our published article titled- Electro-magnetostriction under large deformation: Modeling with experimental validation

Reference: 'Deepak Kumar and Somnath Sarangi, 2018. Electro-magnetostriction under large deformation: Modeling with experimental validation. Mechanics of Materials.'

DOI: https://doi.org/10.1016/j.mechmat.2018.10.001