
handle: 11588/621901
The bending problem of micro and nanobeams based on the Eringen nonlocal elasticity theory and gradient elastic model is addressed. The variational formulations associated with the two models are consistently provided starting from the free energy. Then the governing differential equations and the related boundary conditions are derived. Exact solutions for deflection, rotation and stress fields are presented for a transversely loaded nanobeam.
Bending problems; Elasticity; Nanobeam; Mechanics of Materials; Computational Theory and Mathematics; Computer Science Applications1707 Computer Vision and Pattern Recognition; Mechanical Engineering, Bending problems, Computational Theory and Mathematics, Nanobeam, Mechanics of Materials, Mechanical Engineering, Computer Science Applications1707 Computer Vision and Pattern Recognition, Elasticity
Bending problems; Elasticity; Nanobeam; Mechanics of Materials; Computational Theory and Mathematics; Computer Science Applications1707 Computer Vision and Pattern Recognition; Mechanical Engineering, Bending problems, Computational Theory and Mathematics, Nanobeam, Mechanics of Materials, Mechanical Engineering, Computer Science Applications1707 Computer Vision and Pattern Recognition, Elasticity
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