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

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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 Kármán'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 from finite elements simulations, confirming the accuracy and potential of the formulation.
Original languageEnglish
Pages (from-to)980-994
Number of pages15
JournalDefault journal
Volume201
Publication statusPublished - 2018

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Civil and Structural Engineering

Cite this

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title = "An extended Ritz formulation for buckling and post-buckling analysis of cracked multilayered plates",
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 K{\'a}rm{\'a}n'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 from finite elements simulations, confirming the accuracy and potential of the formulation.",
keywords = "Ceramics and Composites, Civil and Structural Engineering, Extended Rayleigh-Ritz method, First-order shear deformation theory, Plate buckling, Plate post-buckling",
author = "Alberto Milazzo and Vincenzo Gulizzi and Ivano Benedetti",
year = "2018",
language = "English",
volume = "201",
pages = "980--994",
journal = "Default journal",

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TY - JOUR

T1 - An extended Ritz formulation for buckling and post-buckling analysis of cracked multilayered plates

AU - Milazzo, Alberto

AU - Gulizzi, Vincenzo

AU - Benedetti, Ivano

PY - 2018

Y1 - 2018

N2 - 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 Kármán'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 from finite elements simulations, confirming the accuracy and potential of the formulation.

AB - 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 Kármán'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 from finite elements simulations, confirming the accuracy and potential of the formulation.

KW - Ceramics and Composites

KW - Civil and Structural Engineering

KW - Extended Rayleigh-Ritz method

KW - First-order shear deformation theory

KW - Plate buckling

KW - Plate post-buckling

UR - http://hdl.handle.net/10447/294361

UR - http://www.elsevier.com/inca/publications/store/4/0/5/9/2/8

M3 - Article

VL - 201

SP - 980

EP - 994

JO - Default journal

JF - Default journal

ER -