Elastic bending and transverse compression of a thin plate with density-dependent Young's modulus

被引：5

作者：

Erbas, Baris ^{[1
]}

Kaplunov, Julius ^{[2
]}

Rajagopal, Kumbakonam R. ^{[3
]}

机构：

[1] Eskisehir Tech Univ, Dept Math, Yunus Emre Campus, TR-26470 Eskisehir, Turkiye

[2] Keele Univ, Sch Comp Sci & Math, Keele ST5 5BG, Staffs, England

[3] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2024年 / 160卷

关键词：

Thin elastic plate; Density-dependent Young's modulus; Weak nonlinearity; Asymptotic analysis; MECHANICAL-PROPERTIES; POROSITY-DEPENDENCE; CORTICAL BONE;

D O I：

10.1016/j.ijnonlinmec.2024.104651

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The equilibrium equation governing the plane strain static problem for a thin elastic layer is studied using asymptotic analysis for a material with generalized Young's modulus weakly dependent on the mass density. Within the context of the adopted scaling, the effect of a physical nonlinearity arises at the second order along with shear deformation and other linear phenomena. Refined equations for plate bending and transverse compression are derived. Numerical examples illustrating the role of the corrections due to the considered constitutive behavior are presented.

引用

页数：7

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