Bending strength degradation of a cantilever plate with surface energy due to partial debonding at the clamped boundary

• Published in: Applied mathematics and mechanics Vol. 45; no. 9; pp. 1573 - 1594
• Main Authors: Hu, Zhenliang, Zhang, Xueyang, Li, Xianfang
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2024; Springer Nature B.V; School of Civil Engineering,University of South China,Hengyang 421001,Hunan Province,China%School of Civil Engineering,Central South University,Changsha 410075,China
• Edition: English ed.
• Subjects: Applications of Mathematics; Bend strength; Bending moments; Boundary value problems; Cantilever plates; Clamping; Classical Mechanics; Debonding; Exact solutions; Fluid- and Aerodynamics; Integral transforms; Kirchhoff theory; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Shear forces; Singular integral equations; Singularity (mathematics); Surface energy; Thickness; Thin plates; micro/nanoscale cantilever plate; partially debonded; 74A60; 74K20; bending fracture; oscillatory singularity; 74R10; O346.1; singular integral equation

This paper investigates the bending fracture problem of a micro/nanoscale cantilever thin plate with surface energy, where the clamped boundary is partially debonded along the thickness direction. Some fundamental mechanical equations for the bending problem of micro/nanoscale plates are given by th...