Lesson 6

Strain Gradient Representation of Discrete Structures

Purpose of Lesson To present procedures for identifying and utilizing linearly independent sets of strain gradient quantities that a two-dimensional truss is capable of representing as a way to highlight the role of individual strain states as generalized coordinates.

The most natural coordinate system for describing the movement or displacements of a truss is to identify the change in the location of the individual nodes of the truss. In this lesson, strain gradient notation is used to provide an alternative set of independent coordinates for describing altered configurations of the truss. The nodal movements are expressed in terms of rigid body motions and various types of deformations ...

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