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Conservative loads on shells

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Abstract

Generalized load vectorsp and edge load vectorsF are denned in terms of the body force and surface on a shell. Necessary and sufficient conditions are derived forp andF, and therefore the body force and the surface force, to be conservative. It is shown for example thatp must satisfyp i=P ijk q j,1 q k,2+Q 1 ij q j,2−Q 2 ij q j,1+R i whereq is the generalized position vector andP ijk, Qi,j 1 and Qij 2 are skew tensors.

The case of hydrostatic pressure is examined in detail.

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References

  1. Fisher, D.,Configuration dependent pressure potentials, J. Elasticity,19, 77–84 (1988).

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  2. Sewell, M. J.,On configuration-dependent loading, Arch. Rational Mech. Anal.,23, 327–351 (1967).

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  3. Simmonds, J. G., and Libai, A.,The nonlinear theory of elastic shells, Academic Press, New York, 1988.

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  4. Fisher, D.,Conservative configuration dependent loads on bounded surfaces, ZAMP,38, 883–892 (1987).

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Authors and Affiliations

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

    D. Fisher

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  1. D. Fisher
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This work was supported in part by NSF grant MSM 8618657.

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Fisher, D. Conservative loads on shells. Z. angew. Math. Phys. 40, 39–50 (1989). https://doi.org/10.1007/BF00945308

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  • DOI: https://doi.org/10.1007/BF00945308

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