The Lagrange multiplier in incompressible elasticity theory
by
R.L. Fosdick and G. Royer
in
J. Elasticity, 55, 193-200, 1999.
Category: Journal Article
Keywords: nonlinear incompressible elasticity, Lagrange multiplier.
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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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