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Effective Elastic Constants for the Bending of Thin Perforated Plates With Triangular and Square Penetration Patterns
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1973
Year
EngineeringMechanical EngineeringStructural OptimizationElasticity (Physics)MechanicsStressstrain AnalysisThin Perforated PlatesMaterials ScienceMechanical BehaviorEffective Elastic ConstantsMechanical ModelingAluminum Beam SpecimensSquare Penetration PatternsSolid MechanicsAsme CodeMechanical DeformationThin-walled StructureStructural AnalysisStructural MechanicsSquare ArraysMechanics Of MaterialsHigh Strain Rate
Bending tests were run on a series of aluminum beam specimens perforated in triangular and square arrays. Progressively thinner specimens were tested down to 1/8 the thickness covered by the ASME Code. The results for the thick specimens show good agreement with the theoretical generalized plane strain values. The trend of the results with decreasing thickness agrees with the theoretical values for the bending of very thin plates. The applicability of the results is generalized using dimensionless parameters.