Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters
Vít Průša, Κ. R. Rajagopal, Alan Wineman
Abstract
We investigate the pure bending of an elastic prismatic beam, but unlike in the classical setting we assume that the material parameters are density-dependent. The corresponding boundary value problem admits a semi-analytical solution, and the derived formulae allow one to quickly assess the impact of density-dependent material parameters on the predicted deformation across various parameter regimes, and consequently make a decision on the importance of the density-dependent material parameters in the given setting.
Topics & Concepts
BendingBoundary value problemBeam (structure)Materials scienceDeformation (meteorology)Material propertiesMechanicsMathematical analysisMathematicsComposite materialStructural engineeringPhysicsEngineeringStructural Analysis and OptimizationAdvanced Materials and MechanicsComposite Structure Analysis and Optimization