Example

Determine the stress-strain relationship for a homogeneous isotropic material assuming (1) plane stress condition and (2) plane strain condition.

Solution

1. Plane stress condition. If the stresses are acting on the x1-x2 (or x-y) plane, plane stress condition implies that s33 = s23 = s13 = 0. Substituting this condition into Equation 1.37, we have

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