The Maxwell energy-stress tensor: from Electrostatics to Continuum Mechanics. Carmine Trimarco University of Pisa, Italy Dipartimento di Matematica Applicata ‘U.Dini’ Via Bonanno 25/B I-56126 Pisa e-mail: trimarco@dma.unipi.it The Maxwell energy-stress tensor of electrostatics was revisited and re-proposed in elasticity by Eshelby, in 1951. The two tensors share the following feature: both account for the presence of an inhomogeneity. In electrostatics, the inhomogeneity is the electric charge whereas, in elasticity, is the material ‘defect’ of a body. Despite the close similarity of the two tensors, they definitely differ from one another as they describe distinct physical phenomena. An Eshelby-like tensor is here proposed for electrostatics. This tensor identically vanishes out the body, whereas the Maxwell stress tensor is defined everywhere in the space.
The Maxwell Energy-stress tensor: from Electrostatics to Continuum Mechanics
TRIMARCO, CARMINE
2000-01-01
Abstract
The Maxwell energy-stress tensor: from Electrostatics to Continuum Mechanics. Carmine Trimarco University of Pisa, Italy Dipartimento di Matematica Applicata ‘U.Dini’ Via Bonanno 25/B I-56126 Pisa e-mail: trimarco@dma.unipi.it The Maxwell energy-stress tensor of electrostatics was revisited and re-proposed in elasticity by Eshelby, in 1951. The two tensors share the following feature: both account for the presence of an inhomogeneity. In electrostatics, the inhomogeneity is the electric charge whereas, in elasticity, is the material ‘defect’ of a body. Despite the close similarity of the two tensors, they definitely differ from one another as they describe distinct physical phenomena. An Eshelby-like tensor is here proposed for electrostatics. This tensor identically vanishes out the body, whereas the Maxwell stress tensor is defined everywhere in the space.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
