Journal
COMPTES RENDUS MECANIQUE
Volume 336, Issue 1-2, Pages 163-169Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crme.2007.11.006
Keywords
incompressible elasticity; conservation laws; Eshelby stress tensor; conformal field theory
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In this work, we investigate the theory of linear isotropic incompressible elasticity as a conformal field theory. We calculate the conformal currents, the conservation laws and the balance laws of incompressible elasticity. We investigate the Euler-Lagrange symmetries, variational and divergence symmetries. If the pressure p = 0, the conformal group is the symmetry group for homogeneous isotropic linear incompressible elasticity without external forces. The additional symmetry is the special conformal transformation. We also discuss the symmetry breaking terms of special conformal transformations in elasticity.
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