Abstract
We study the bending of a thin plate with rapidly varying thickness, for example one with rib-like stiffeners or perforated by small holes. We obtain a fourth-order equation for the midplanc displacement, using an asymptotic analysis based on three-dimensional linear elasticity. The coefficients of this equation represent the constitutive law relating bending moments to midplane curvature; they are explicitly determined by the plate geometry. Our analysis distinguishes between three different cases, in which the thickness varies on a length scale longer than, on the order of, or shorter than the mean thickness.
Original language | English (US) |
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Pages (from-to) | 333-350 |
Number of pages | 18 |
Journal | International Journal of Solids and Structures |
Volume | 20 |
Issue number | 4 |
DOIs | |
State | Published - 1984 |
ASJC Scopus subject areas
- Modeling and Simulation
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics