If the YZplane is a plane of symmetry for the displacement d

If the YZ-plane is a plane of symmetry for the displacement distribution, i.e., u at any point (-a,b,c) has the same magnitude and sign as u at (a,b,c); which rectangular components of the small strain tensor D are even or odd functions of X? (The displacement component functions consist of products of the coordinate variables). 6.

Solution

XX , YY ,ZZ , YZ and ZY will be even function of X

and XY

YX

XZ and ZX will be an odd function of X because of out of the plane of symmetry.