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Abstract Within the framework of nonlocal elastic theory, the nonlocal plane strain and stress state are re-defined. Firstly, governing equations of the two states are deduced respectively based on the corresponding simplifying assumptions, and are compared with the classic equations. Secondly, the exactnesses of the two nonlocal plane problems are discussed by means of the strain compatibility conditions. In the discussion, the exactness of nonlocal plane stress state is studied via the Fourier transforms of strain compatibility equations in order to simplify the problem. Finally, some valuable conclusions are obtained on the basis of the analysis.
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Received: 11 May 2009
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2010, Vol. 31 
