In mechanics of continuous media, one of the sub areas is the coupled field theory describing interactions of mechanical, thermal, diffusion and electromagnetic field. All this physical fields are represented in the tensors introduced in this theory. Taking into consideration the momentum and angular momentum of the electromagnetic field in medium requires introduction of the fields: couple stress, mass angular momentum and mass couple in balance equations. From the vectorial nature of momentum, angular momentum, force and couple it appears that the stress tensor and couple stress tensor are the second order. Bearing in mind the importance for modern technology of the physical properties of the surface and surface layer of a solid, the conception of balance equations will be applied to describe the material surface interacting with an electromagnetic field.
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