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The constitutive equation describes how the stresses and straines
are related within the plate (Hooke's law).
In linear elasticity, the most generalized
Hooke's law contains six (6) components of stresses that are
linearly related to six (6) components of strains. Nevertheless,
classical plate theory typically uses isotropic
material in the Hooke's Equation.
The compliance (stress to strain) form is
The stiffness (strain to stress) form is
Note that the stresses and strains are functions of x,
y, and z throughout the entire plate. |