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On the Balance Equation for Stresses Concentrated on Curves

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Abstract

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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Authors and Affiliations

  1. Dipartimento di Costruzioni, Università di Firenze, Piazza Brunelleschi 6, 50121, Firenze, Italy

    M. Lucchesi & N. Zani

  2. Institute of Mathematics of the AV ČR, Žitná 25, 115 67, Prague 1, Czech Republic

    M. Šilhavý

Authors
  1. M. Lucchesi
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  2. M. Šilhavý
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  3. N. Zani
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Correspondence to M. Šilhavý.

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Lucchesi, M., Šilhavý, M. & Zani, N. On the Balance Equation for Stresses Concentrated on Curves. J Elasticity 90, 209–223 (2008). https://doi.org/10.1007/s10659-007-9139-8

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  • DOI: https://doi.org/10.1007/s10659-007-9139-8

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