International Journal for Numerical Methods in Engineering · 1972 · 22 citations · 7 references
EngineeringCivil EngineeringMechanical EngineeringFinite Element AnalysisFinite Element MethodsStructural EngineeringElasticity TheoryFinite Element FormulationPlate AnalysisPlate TheoryStructural Finite Element AnalysisStructural MechanicsDisplacementFinite Element Deformation AnalysisFinite Element Methods For PlatesFinite Element Structural AnalysisLateral Pressure ProfilesPlate Bending AnalysisPlate Finite Element AnalysisPlate Stress Analysis
Abstract A finite element incremental stiffness formulation for determining finite displacement flexure behaviour of thin elastic plates is presented. The solution of the finite displacement problems is based on a piecewise linear incremental approach. The procedural aspects of the incremental approach, the control of incremental sizes and the accuracy of the incremental approximation are investigated. The details concerning how to obtain in‐plane stresses and how to treat edge conditions are discussed. Results include rectangular plates under lateral pressure with various edge conditions and aspect ratios. The laterally loaded plate with edges movable in the plane of the plate is also treated.
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