Abstract
It is assumed that at a point P in a body, the longitudinal strains (elongations) along three non-coplanar directions are known from observation and that the shears of the three pairs of infinitesimal material line elements along the three non-coplanar directions are also known. With this information the strain tensor e at P is determined explicitly. The strain tensor e takes a simpler form in the special case when the three shears are zero. This simpler form is precisely the form obtained by Boulanger and Hayes in their study (Boulanger and Hayes, Proc R Ir Acad 103A:113–141, 2003) of the consequences of writing the displacement gradient at P as the sum of a skew symmetric tensor and a tensor with three real eigenvalues. The special case when the three elongations are zero is also considered.
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