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The Lagrange Multiplier in Incompressible Elasticity Theory

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Abstract

The first variation condition for the potential energy in nonlinear elasticity for incompressible materials provides a linear functional which vanishes on an appropriately constrained set of variations. We prove a representation theorem for such linear functionals which forms the basis for the existence of a constraint reaction (Lagrange multiplier) field.

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References

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Authors and Affiliations

  1. Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, U.S.A. E-mail

    Roger Fosdick

  2. Department of Civil Engineering, University of Parma, Parco Area delle Scienze 181/A, I, 43100, Parma, Italy

    Gianni Royer-Carfagni

Authors
  1. Roger Fosdick
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  2. Gianni Royer-Carfagni
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Fosdick, R., Royer-Carfagni, G. The Lagrange Multiplier in Incompressible Elasticity Theory. Journal of Elasticity 55, 193–200 (1999). https://doi.org/10.1023/A:1007647929053

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  • DOI: https://doi.org/10.1023/A:1007647929053

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