Search results for "Plate buckling"

showing 2 items of 2 documents

A single-domain Ritz approach for buckling and post-buckling analysis of cracked plates

2019

Abstract A Ritz approach for the analysis of buckling and post-buckling of plates with through-the-thickness cracks is presented. The plate behavior is described by the first order shear deformation theory and von Karman’s geometric nonlinearity. The admissible functions used in the displacements approximation are series of regular orthogonal polynomial supplemented with special functions able to decribe the dicontinuity across the crack and the singularity at the crack tips; boundary functions are used to fullfill the homogeneous essential boundary conditions. Convergence studies and analysis results are presented for buckling and post-buckling of plates with a central through-the-thicknes…

Series (mathematics)Applied MathematicsMechanical EngineeringMathematical analysisDegrees of freedom (statistics)Boundary (topology)02 engineering and technology021001 nanoscience & nanotechnologyCondensed Matter PhysicsPlate buckling Plate post-buckling Ritz method First order shear deformation theoryNonlinear system020303 mechanical engineering & transportsSingularity0203 mechanical engineeringBucklingMechanics of MaterialsSpecial functionsModeling and SimulationGeneral Materials ScienceBoundary value problemSettore ING-IND/04 - Costruzioni E Strutture Aerospaziali0210 nano-technologyMathematicsInternational Journal of Solids and Structures
researchProduct

An extended Ritz formulation for buckling and post-buckling analysis of cracked multilayered plates

2018

Abstract An extended Ritz formulation for the analysis of buckling and post-buckling behaviour of cracked composite multilayered plates is presented. The formulation is based on: (i) the First-order Shear Deformation Theory to model the mechanics of the multilayered plate; (ii) the von Karman’s theory to account for geometric non-linearities ; (iii) the use of an extended set of approximating functions able to model the presence of an embedded or edge crack and to capture the crack opening fields as well as the global behaviour within a single cracked domain. The numerical results of the buckling analyses and the equilibrium paths in the post-buckling regime are compared with the results fr…

PhysicsShear deformation theoryComposite numberMathematical analysisCeramics and Composite02 engineering and technologyPlate post-bucklingEdge (geometry)01 natural sciencesDomain (mathematical analysis)Finite element method010101 applied mathematics020303 mechanical engineering & transports0203 mechanical engineeringBucklingExtended Rayleigh-Ritz methodPlate bucklingCeramics and CompositesFirst-order shear deformation theory0101 mathematicsSettore ING-IND/04 - Costruzioni E Strutture AerospazialiCivil and Structural EngineeringComposite Structures
researchProduct