51. Shear buckling of infinite plates resting on tensionless elastic foundations
- Author
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John Butterworth, Charles Clifton, Xing Ma, Ma, Xing, Butterworth, J.W, and Clifton, C.G
- Subjects
Shearing (physics) ,Differential equation ,business.industry ,Mechanical Engineering ,Mathematical analysis ,General Physics and Astronomy ,Unilateral contact ,Stiffness ,Structural engineering ,Finite element method ,Algebraic equation ,Nonlinear system ,infinite plate ,Buckling ,winkler foundation ,Mechanics of Materials ,medicine ,shear buckling ,General Materials Science ,medicine.symptom ,business ,unilateral contact ,Mathematics - Abstract
The buckling problem of an infinite thin plate resting on a tensionless Winkler foundation and subjected to shearing loads is investigated. The infinite plate is simplified to a one-dimensional mechanical model by assuming a lateral buckling mode function and a borderline function between contact and noncontact regions. After the governing differential equations for the plate sections in the contact and non-contact regions have been solved, the problem reduces to two nonlinear algebraic equations. Buckling coefficients for plates with simply supported edges and clamped edges are determined for a range of relative foundation stiffness factors. Comparison of the results with existing theory and finite element analyses shows good agreement. Refereed/Peer-reviewed
- Published
- 2011
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