Finite Element Applications by Michael Okereke & Simeon Keates

Author:Michael Okereke & Simeon Keates
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(8.2)

The α constant is usually a scalar quantity. For most load cases, the normal derivative of a variable is equivalent to the flux of that variable.

For example, the normal derivative of a force is equivalent to the traction i.e. . The converse to a Neumann BC is called a no-flux BC as there is no flux associated with it. In the context of structural solid mechanics, this type of boundary condition is prescribed by imposing a uniform traction vector, T, over the external boundaries of the RVE. An illustration of this type of boundary condition is shown in Fig. 8.4.

Fig. 8.4A typical Neumann boundary condition and the associated deformation profile

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