Journal of Applied Mechanics · 1957 · 17 citations · 0 references
EngineeringMaterials ScienceMechanical EngineeringMechanical Behavior Of MaterialsSolid MechanicsStructural AnalysisBeam TheoryBending Of BeamsElastic DeformationElasticity TheoryImpact MechanicsStructural MechanicsBeam-bending AnalysisElasticity Of BeamsLinear Elastic AnalysisLinear Elastic BehaviorPlastic Deformation Under IndentationStress Distribution In BeamsStress History EffectsStress-strain Curve
Abstract A theory is developed for the transverse impact of spheres on elastic beams which incorporates a dynamic plastic force-indentation law and linear elastic boundary conditions. A method is devised to account for the effect of an infinite number of bending modes. The influence of various force-indentation relations on the calculated stress history is discussed and a comparison with an experimental stress curve is provided.