HIGHLIGHTS
SUMMARY
The expression third-gradient materials denotes a class of elastic models for continuous bodies, whose deformation energy density depends on the derivatives of the placement map up to the third order see e_g_[1,2]. To govern the inner virtual work for such materials, the double-rank stress tensor is no more sufficient, and hyperstress tensors of order three and four are required, referred to as double and triple stresses, see e_g_[3]. From the mathematical standpoint, such a problem can be interpreted as the representation of a finite-order distribution through the sum . . .
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