... velocity strain gradient theory impact laminates stress analysis structures vibration wave propagation A few of the numerous unique characteristics of piezoelectric nanomaterials are their improved electromechanical coupling [ 1 , 2 ], minimal power dissipation [ 3 , 4 ], and sensitive...

...Zhaoyang Hu; Rui Li The classical elasticity is inadequate for the dynamic analysis of microplates due to the size effect. This study incorporates a higher-order strain gradient theory into the Hamiltonian system-based symplectic framework and derives new analytical solutions for the free vibration...

... is used to simply determine the elastic length parameters appeared in the elastic strain gradient theory for a series of typical metal materials. We use both the elastic strain gradient theory and the higher-order Cauchy-Born rule to model the materials mechanics behaviors by means of a spherical...