Explain the need to introduce the lagrange multiplier

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Reference no: EM131172493

A six-field Hu-Washizu type of variational principle with independent volumetric and deviatoric variables is given as,

267_0aefcc8e-28dc-4e90-bd7a-2d0c0ce7bcd3.png

Component of the first Piola-Kirchhoff stress tensor .Find the stationary conditions with respect to each variable. Explain the need to introduce the Lagrange multiplier °. Derive the formulation that results from assuming that all the fields except for the motion are constant over the integration volume.

Reference no: EM131172493

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