Relation Between Bending and Shear Deflections
A relation can be obtained between the bending and shear deflections by using the continuity of tractions between the core and the facesheets. If we equate the tractions directly we get
At both the facesheet-core interfaces but at the top of the core and at the bottom of the core . Therefore, traction continuity at leads to
The above relation is rarely used because of the presence of second derivatives of the shear deflection. Instead it is assumed that
which implies that
Read more about this topic: Sandwich Theory, Linear Sandwich Theory, Bending of A Sandwich Beam With Thin Facesheets
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