Asymptotic derivation of 2D dynamic equations of motion for transversely inhomogeneous elastic plates

• Published in: International journal of engineering science Vol. 178; p. 103723
• Main Authors: Kaplunov, Julius, Erbaş, Barış, Ege, Nihal
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2022
• Subjects: Asymptotic; Functionally graded; Higher order; Thin plate; Thin plate; Higher order; Functionally graded; Asymptotic

The 3D dynamic equations in elasticity for a thin transversely inhomogeneous plate are subject to asymptotic analysis over the low-frequency range. The leading and first order approximations are derived. The former is given by a biharmonic equation on the mid-plane generalizing the classical Kirchho...