4.3 Article Proceedings Paper

On the balance equation for stresses concentrated on curves

Journal

JOURNAL OF ELASTICITY
Volume 90, Issue 2, Pages 209-223

Publisher

SPRINGER
DOI: 10.1007/s10659-007-9139-8

Keywords

stress described by a measure; equilibrium; divergence measures; divergence theorem

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Conditions of equilibrium of forces are formulated for a force system in a continuous body which consists of a bulk stress and a stress concentrated on a curve. The system of forces is interpreted as a tensor valued measure and the equilibrium of forces is interpreted in a weak sense. The divergence theorem is proved for bulk stress fields with the corresponding singularity. Examples of such stress fields are given.

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