Marcelo Epstein et al 2006 Class. Quantum Grav. 23 3545 doi:10.1088/0264-9381/23/10/020
Marcelo Epstein1, David A Burton2 and Robin Tucker2
Show affiliationsA formulation of continuum mechanics within the context of general relativity is presented that allows for the incorporation of certain types of anelastic material behaviour, such as viscoelasticity and plasticity. The approach is based on the concept of a four-dimensional body-time complex structured as a principal bundle. The anelastic response is regarded as the result of a continuous distribution of inhomogeneities, whose evolution is dictated by a suggested relativistic version of the Eshelby tensor. The role played by various groups is emphasized throughout the presentation and illustrated by means of the example of an anelastic fluid.
62.40.+i Anelasticity, internal friction, stress relaxation, and mechanical resonances
04.40.-b Self-gravitating systems; continuous media and classical fields in curved spacetime
Issue 10 (21 May 2006)
Received 25 October 2005
Published 28 April 2006
Marcelo Epstein et al 2006 Class. Quantum Grav. 23 3545
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