Formulation of the element matrices and vectors for elasticity problem > Strain-Displacement Relations

For plane structures, under the small strain and small rotation hypotheses we can write the following relations between deformations and displacements:

		(11)

or in matrix form:

		(12)

or in a condensed form:

		(13)

where u and v are the components of displacements in the x and y directions. If the displacement field is represented by polynomials, the strains and stresses are one order lower than the displacements.

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