NON-LINEAR ANALYSIS OF VISCOELASTIC RECTANGULAR PLATES SUBJECTED TO IN-PLANE COMPRESSION

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SALEHI MANUCHEHR; SAFI DJAHANSHAHI AMIN

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Paper Information

Journal: JOURNAL OF MECHANICAL RESEARCH AND APPLICATION (JMRA) Year:2010 | Volume:2 | Issue:1 Page(s): 11-21

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Title

NON-LINEAR ANALYSIS OF VISCOELASTIC RECTANGULAR PLATES SUBJECTED TO IN-PLANE COMPRESSION

Author(s)

SALEHI MANUCHEHR | SAFI DJAHANSHAHI AMIN | Issue Writer Certificate

Keywords

VISCOELASTIC PLATE

MINDLIN PLATE

BUCKLING

RECTANGULAR PLATE

DYNAMIC RELAXATION

HIGHER-ORDER SHEAR DEFORMATION

Abstract

Geometrically nonlinear governing equations for a plate with linear viscoelastic material are derived. The material model is of Boltzmann superposition principle type. A third-order displacement field is used to model the shear deformation effects. For the solution of the nonlinear governing equations the DYNAMIC RELAXATION (DR) iterative method together with the finite difference discretization technique is used. Finally, the numerical results for the critical BUCKLING load for simply supported edge constraints are reported. In order to justify the accuracy of the results, the elastic plate critical BUCKLING loads are obtained and compared with the existing results. The correlations are very satisfactory. The numerical results are presented for Classical Plate Theory (CPT), First order- Shear Defonmation Plate Theory (FSDT) and Higher Order- Shear Deformation Plate Theory (HSDT). In the case of thick plate the differences among the three theories are highlighted, however, for thin plate the variations are very small.

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APA: Copy

SALEHI, MANUCHEHR, & SAFI DJAHANSHAHI, AMIN. (2010). NON-LINEAR ANALYSIS OF VISCOELASTIC RECTANGULAR PLATES SUBJECTED TO IN-PLANE COMPRESSION. JOURNAL OF MECHANICAL RESEARCH AND APPLICATION (JMRA), 2(1), 11-21. SID. https://sid.ir/paper/569826/en

Vancouver: Copy

SALEHI MANUCHEHR, SAFI DJAHANSHAHI AMIN. NON-LINEAR ANALYSIS OF VISCOELASTIC RECTANGULAR PLATES SUBJECTED TO IN-PLANE COMPRESSION. JOURNAL OF MECHANICAL RESEARCH AND APPLICATION (JMRA)[Internet]. 2010;2(1):11-21. Available from: https://sid.ir/paper/569826/en

IEEE: Copy

MANUCHEHR SALEHI, and AMIN SAFI DJAHANSHAHI, “NON-LINEAR ANALYSIS OF VISCOELASTIC RECTANGULAR PLATES SUBJECTED TO IN-PLANE COMPRESSION,” JOURNAL OF MECHANICAL RESEARCH AND APPLICATION (JMRA), vol. 2, no. 1, pp. 11–21, 2010, [Online]. Available: https://sid.ir/paper/569826/en

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