Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory

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Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory (2013, background): “Throughout the past twenty years, various micro- and nano-sized problems have been modeled and studied by many researchers as static and dynamic analysis of structures [17–25].”
Bending and buckling of nonlocal strain gradient elastic beams (2017, background): “Additionally, our numerical results reduce to the strain gradient beam model developed by Akgöz and Civalek [57].”
A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory (2015, background): “In the last five years, modified strain gradient theory has been extensively employed to investigate the mechanical responses of one-dimensional small-sized structures such as microbars [18–23] and microbeams [24–35].”