Nonstandard Finite Difference Models
Purpose of Lesson To present nonstandard modeling capabilities for the finite difference method that have been developed as a result of the use of strain gradient notation and the new boundary condition models.
The finite difference method has been largely supplanted by the finite element method in the analysis of most solid mechanics applications because of the perceived lack of flexibility with finite difference boundary models. The generalizations of the finite difference method presented in the previous two lessons enable us to develop the following extensions to the modeling capabilities of the finite difference method in this lesson: (1) local mesh refinements, (2) point loads, (3) moveable ...
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