A deformation of a rectangular bar

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Reference no: EM131303677

Consider a deformation of a rectangular bar whose deformed geometry is given as

x1 = αX1, x2 = βX2, x3 = βX3

When the material is incompressible and St. Venant-Kirchhoff material properties are given as E = 600 MPa and ν = 0.49, write the expression of the S11 component of the second Piola-Kirchhoff stress as a function of α.

In addition, write the expression of σ11 of the Cauchy stress as a function of α. Plot S11 and σ11 in the range of α = [0.7 1.5].

Reference no: EM131303677

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The second piola kirchhoff stress as a function of a : Venant-Kirchhoff material properties are given as E = 600 MPa and ν = 0.49, write the expression of the S12 component of the second Piola-Kirchhoff stress as a function of α.

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