Consider the three deformation cases of simple tension, pure shear, and hydrostatic compression as discussed in Section

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Consider the three deformation cases of simple tension, pure shear, and hydrostatic compression as discussed in Section 4.3 . Using the nominal values from Table 4.2 , calculate the resulting strains in each of these cases for:

a. Aluminum: with loadings (o= 150 MPa, t = 75 MPa, p = 500 MPa)

b. Steel: with loadings (o= 300 MPa, t= 150 MPa, p = 500 MPa)

c. Rubber: with loadings (o= 15 MPa, t = 7 MPa, p = 500 MPa)

Note that for aluminum and steel, these tensile and shear loadings are close to the yield values of the material.

Table 4.2

Table 4.2 Typical values of elastic moduli for common engineering materials. (GPa) (GPa) k(GPa) Aluminum

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