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In a series of papers which are either published [A.R. Hadjesfandiari andG.F. Dargush, Couple stress theory for solids, Int. J. Solids Struct. 48,2496-2510, 2011; A.R. Hadjesfandiari and G.F. Dargush, Fundamental solutionsfor isotropic size-dependent couple stress elasticity, Int. J. Solids Struct.50, 1253-1265, 2013] or available as preprints Hadjesfandiari and Dargush havereconsidered the linear indeterminate couple stress model. They are postulatinga certain physically plausible split in the virtual work principle. Based onthis postulate they claim that the second-order couple stress tensor mustalways be skew-symmetric. Since they use an incomplete set of boundaryconditions in their virtual work principle their statement containsunrecoverable errors. This is shown by specifying their development to theisotropic case. However, their choice of constitutive parameters ismathematically possible and still yields a well-posed boundary value problem.

On some fundamental misunderstandings in the indeterminate couple stress model. A comment on recent papers of A.R. Hadjesfandiari and G.F. Dargush