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Author:

Xue, Jian (Xue, Jian.) | Wang, Yuefang (Wang, Yuefang.) | Chen, Lihua (Chen, Lihua.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, the buckling and free vibration of a Mindlin plate with a side crack are presented considering a uniaxial in-plane compressive or tensile load. The side crack is through the thickness of the plate. In the Ritz method, a series of corner functions are incorporated into the admissible functions which consist of the modified characteristic functions. With this treatment, one can describe the singularity in stress near the tip of the crack as well as the discontinuities in both displacement and bending rotations across the crack. The buckling loads and natural frequencies are solved through eigenvalue problems considering the existence of the crack. The effects of location, length and orientation of the crack on the buckling and free vibration of the loaded plate are demonstrated. The coupling effect of the crack and the in-plane load on the vibrational characteristics of the plate is analyzed with varying parameters. It is shown that the influences of the tensile and compressive preloads are enhanced by the crack, and the tensile preload can cause the low-order frequency to increase with the growing crack.

Keyword:

Mindlin plate Ritz method Side crack Buckling In-plane preload Free vibration

Author Community:

  • [ 1 ] [Xue, Jian]Dalian Univ Technol, Dept Engn Mech, Dalian 116024, Peoples R China
  • [ 2 ] [Wang, Yuefang]Dalian Univ Technol, Dept Engn Mech, Dalian 116024, Peoples R China
  • [ 3 ] [Chen, Lihua]Beijing Univ Technol, 100 Pingleyuan, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Xue, Jian]Dalian Univ Technol, Dept Engn Mech, Dalian 116024, Peoples R China

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Related Keywords:

Source :

ARCHIVE OF APPLIED MECHANICS

ISSN: 0939-1533

Year: 2020

Issue: 8

Volume: 90

Page: 1811-1827

2 . 8 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:115

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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