Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Relativistic anelasticity
AU - Epstein, M.
AU - Burton, D. A.
AU - Tucker, R. W.
PY - 2006
Y1 - 2006
N2 - A 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.
AB - A 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.
U2 - 10.1088/0264-9381/23/10/020
DO - 10.1088/0264-9381/23/10/020
M3 - Journal article
VL - 23
SP - 3545
EP - 3571
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 1361-6382
IS - 10
ER -