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The Eshelby tensor for a plane strain inclusion with an arbitrary polygonal cross section is derived in a general form in terms of three potential functions, two of which have the same definitions as the ones involved in the counterpart Eshelby tensor based on classical elasticity.
However, the majority of these works is based on classical elasticity theory, according to which the rigidity of the cable is neglected.
The result is in strong contrast to Eshelby's solution based on classical elasticity, and it is helpful in the understanding of relevant physical phenomena in nano-structured solids.
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It is well-known that, contrary to the predictions based on classical theory, surface elasticity theory predicts Love waves can propagate in a homogeneous isotropic elastic fcc half-space and is dispersive.
Contrary to the predictions based on classical theory, surface elasticity theory predicts that Love waves can propagate:(a) in an elastic half-space without the over-layer, and (b) in the layer-substrate system when the shear wave velocity of the layer is greater than that of the substrate.
Conventional approaches for solving this vital issue are based on classical formulations of boundary value problems of elasticity.
Different finite element plate models based on classical, standard and improved shear deformable plate theories, three-dimensional elasticity equations or their combinations have been developed.
"My jazz is based on classical training".
Analysis is based on classical theory.
For comparisons, the plate models based on classical and first-order shear deformation theories within the framework of both single-layer and layer-wise concept and three-dimensional theory of elasticity are used.
We provide an analysis based on classical slip flow model.
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