Navier Cauchy Equations

11 One such approach is to substitute the displacement-strain relation into Hooke's law (resulting in stresses in terms of the gradient of the displacement), and the resulting equation into the equation of motion to obtain three second-order partial differential equations for the three displacement components known as Navier's Equation

Essential B.C.

Natural B.C.

Natural B.C.

Figure 9.3: Fundamental Equations in Solid Mechanics

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