6533b7d3fe1ef96bd1260a76
RESEARCH PRODUCT
A single-domain Ritz approach for buckling and post-buckling analysis of cracked plates
Ivano BenedettiVincenzo GulizziAlberto Milazzosubject
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-technologyMathematicsdescription
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-thickness crack evidencing differences in the structural response between pre- and post-buckling regimes, which can substantially affect the plate residual strength. The performed analyses show the efficiency and potential of the method, which provides accurate results in conjunction with a reduced number of degrees of freedom and simplified data preparation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-03-01 | International Journal of Solids and Structures |