Show that the above deformation is a pure shear deformation, Project Management

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Show that the above deformation is a pure shear deformation

Consider the following deformation with |α| <= 1:

40_Equation 1.jpg

Assume St. Venant-Kirchhoff material with two material parameters λ and μ.

(a) Show that the above deformation is a pure shear deformation in terms of the Lagrangian strain.

(b) Calculate the second Piola-Kirchhoff stress and Cauchy stress in terms of α, λ, and μ.

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Project Management: Show that the above deformation is a pure shear deformation

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