STATIC DEFLECTION ANALYSIS OF FLEXURAL SIMPLY SUPPORTED SECTORIAL MICRO-PLATE USING <i>P</i>-VERSION FINITE-ELEMENT METHOD

A. R.  Ahmadi; H. Farahmand; S. Arabnejad

doi:10.1615/IntJMultCompEng.v9.i2.40

International Journal for Multiscale Computational Engineering

Jacob Fish (open in a new tab) Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027, USA

J. Tinsley Oden (open in a new tab) Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA

Somnath Ghosh (open in a new tab) Departments of Civil & Systems Engineering, Mechanical Engineering, and Material Science Engineering, Johns Hopkins University, Baltimore, MD, USA

Arif Masud (open in a new tab) Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, 3129E Newmark Civil Engineering Laboratory, MC-250, Urbana, Illinois 61801-2352, USA

Klaus Hackl (open in a new tab) Institute of Mechanics of Materials, Ruhr-University Bochum, Bochum, 44721, Germany

Karel Matous (open in a new tab) Department of Aerospace and Mechanical Engineering, Center for Shock Wave-Processing of Advanced Reactive Materials, University of Notre Dame, Notre Dame, Indiana 46556, USA

Thomas J.R. Hughes (open in a new tab) Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, 201 East 24th Street, C0200, Austin, TX 78712-1229, USA

Caglar Oskay (open in a new tab) Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, Tennessee 37235, USA

Tamar Schlick (open in a new tab) Department of Chemistry, New York University, New York, New York 10003, USA; Courant Institute of Mathematical Sciences, New York University, New York, New York, 10012, USA; NYU-ECNU Center for Computational Chemistry, NYU Shanghai, China

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STATIC DEFLECTION ANALYSIS OF FLEXURAL SIMPLY SUPPORTED SECTORIAL MICRO-PLATE USING P-VERSION FINITE-ELEMENT METHOD

pages 193-200

DOI: 10.1615/IntJMultCompEng.v9.i2.40

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A. R. Ahmadi
International Center for Science and High Technology and Environmental Sciences, Kerman, Iran

H. Farahmand
Department of Mechanical Engineering, Kerman Branch, Islamic Azad University, Kerman, Iran

S. Arabnejad
Young Researchers Club, Kerman branch, Islamic Azad University, Kerman, Iran

Краткое описание

In this paper, flexural Kirchhoff plate theory is utilized for static analysis of isotropic sectorial micro-plates based on a modified couple stress theory containing one material length scale parameter. The Levy method is implemented and the resulting sixth-order differential equation is solved for the unknown deflection using the p-version finite-element method. The Galerkin form of this differential equation is first reduced to its weak form and then solved using hierarchical p-version finite elements with second-order global smoothness. The computed deflection distribution of the micro-plate is compared with that of the classical theory, in which micro-effects are not present. A series of studies have revealed that when the length scale parameters are considered, deflection of a sectorial plate decreases as the length scale effect is increased; in other words, the micro-plate exhibits more rigidity.

Ключевые слова: flexural micro-plates, strain gradient elasticity, hierarchical -version finite-element method

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