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On Conservation and Balance Laws in Micromorphic Elastodynamics

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Abstract

In this paper, following Noether’s theorem we investigate the Lie point symmetries of linear micromorphic elastodynamics (linear elastodynamics with microstructure). Conservation and balance laws of linear, micromorphic elastodynamics are derived. We generalize the J, L and M integrals for this theory. In addition, we give the Eshelby stress tensor, pseudomomentum vector, field intensity vector, Hamiltonian, angular momentum tensor and scaling flux generalized to micromorphic elastodynamics.

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  1. Emmy Noether Research Group, Department of Physics, Darmstadt University of Technology, Hochschulstr. 6, D-64289, Darmstadt, Germany

    Markus Lazar

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  1. Markus Lazar
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Correspondence to Markus Lazar.

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Lazar, M. On Conservation and Balance Laws in Micromorphic Elastodynamics. J Elasticity 88, 63–78 (2007). https://doi.org/10.1007/s10659-007-9113-5

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  • DOI: https://doi.org/10.1007/s10659-007-9113-5

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