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By developing a nonlinear microstructure-dependent third-order shear deformable beam model based on the most general form of Mindlin’s strain gradient elasticity theory (SGT) and the von Kármán hypothesis, the size-dependent nonlinear mechanical behavior of a microbeam made of functionally graded materials (FGMs) are described. The matrix representations of classical and non-classical kinematic and...
In this paper, the nonlinear bending and postbuckling characteristics of Mindlin rectangular microplates made of functionally graded (FG) materials are studied based on the modified couple stress theory (MCST). This theory facilitates considering size dependency through introducing material length scale parameters. The FG microplates, whose volume fraction is expressed by a power law function, are...
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