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Configuration dependent pressure potentials

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Abstract

Elementary vector methods and the path-independent definition of a conservative force are used to show that a position dependent pressure p on a closed surface is conservative and has the potential ∫R dV, where R is the region bounded by the surface.

A useful definition of tensor cross product is introduced.

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References

  1. G. Romano, Potential operators and conservative systems, meccanica, 7 (1972) 141–146.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, James Madison University, 22807, Harrisonburg, VA, USA

    Dawn Fisher

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  1. Dawn Fisher
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Fisher, D. Configuration dependent pressure potentials. J Elasticity 19, 77–84 (1988). https://doi.org/10.1007/BF00041696

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  • DOI: https://doi.org/10.1007/BF00041696

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