On the Lagrangian formulation of continuum mechanics

A. Golebiewska-Herrmann

Physica A: Statistical Mechanics and its Applications, 1983, vol. 118, issue 1, 300-314

Abstract: The aim of this paper is to show that a Lagrangian formulation of continuum mechanics (in the spirit of field theory) can deliver, not only equations of motion, but the conservation laws related to the material symmetries in the perfect continuum. Those conservation laws in the presence of defects lead to the path-independent integrals broadly used in fracture mechanics. They are basically related to the (material) forces on a defect in a continuum and can be interpreted as the equations of motion for a defect with respect to the material. The quantity playing the role of the stress tensor in this formulation is the material momentum tensor.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:118:y:1983:i:1:p:300-314

DOI: 10.1016/0378-4371(83)90196-6

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