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

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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 Kar- man’s geometric nonlinearity. The admissible functions used in the displacements approximation are se- ries of regular orthogonal polynomial supplemented with special functions able to decribe the diconti- nuity 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 pro- vides accurate results in conjunction with a reduced number of degrees of freedom and simplified data preparation.
Lingua originaleEnglish
pagine (da-a)221-231
Numero di pagine11
RivistaInternational Journal of Solids and Structures
Volume159
Stato di pubblicazionePublished - 2019

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Postbuckling
buckling
Buckling
Crack
cracks
Cracks
Geometric Nonlinearity
Deformation Theory
Shear Deformation
Crack Tip
Special Functions
residual strength
Orthogonal Polynomials
Preparation
Degree of freedom
crack tips
Singularity
First-order
Boundary conditions
Crack tips

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cita questo

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title = "A single-domain Ritz approach for buckling and post-buckling analysis of cracked plates",
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 Kar- man’s geometric nonlinearity. The admissible functions used in the displacements approximation are se- ries of regular orthogonal polynomial supplemented with special functions able to decribe the diconti- nuity 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 pro- vides accurate results in conjunction with a reduced number of degrees of freedom and simplified data preparation.",
author = "Alberto Milazzo and Vincenzo Gulizzi and Ivano Benedetti",
year = "2019",
language = "English",
volume = "159",
pages = "221--231",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",

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TY - JOUR

T1 - A single-domain Ritz approach for buckling and post-buckling analysis of cracked plates

AU - Milazzo, Alberto

AU - Gulizzi, Vincenzo

AU - Benedetti, Ivano

PY - 2019

Y1 - 2019

N2 - 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 Kar- man’s geometric nonlinearity. The admissible functions used in the displacements approximation are se- ries of regular orthogonal polynomial supplemented with special functions able to decribe the diconti- nuity 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 pro- vides accurate results in conjunction with a reduced number of degrees of freedom and simplified data preparation.

AB - 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 Kar- man’s geometric nonlinearity. The admissible functions used in the displacements approximation are se- ries of regular orthogonal polynomial supplemented with special functions able to decribe the diconti- nuity 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 pro- vides accurate results in conjunction with a reduced number of degrees of freedom and simplified data preparation.

UR - http://hdl.handle.net/10447/333080

M3 - Article

VL - 159

SP - 221

EP - 231

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

ER -