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The Lagrange Multiplier in Incompressible Elasticity Theory |
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| Authors: | Roger Fosdick Gianni Royer-Carfagni |
| Institution: | (1) Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, U.S.A. E-mail;(2) Department of Civil Engineering, University of Parma, Parco Area delle Scienze 181/A, I, 43100 Parma, Italy |
| 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. This revised version was published online in August 2006 with corrections to the Cover Date. |
| Keywords: | nonlinear incompressible elasticity Lagrange multiplier |
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