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    A Complex Potential-Variational Method for Stress Analysis of Unsymmetric Laminates With an Elliptical Cutout

    Source: Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 005::page 731
    Author:
    E. Madenci
    ,
    M. P. Nemeth
    ,
    A. Barut
    DOI: 10.1115/1.1379528
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A combined complex potential-variational solution method is developed for the analysis of unsymmetrically laminated plates with finite planform geometry, subjected to arbitrary edge loads, and with an inclined elliptical cutout. This method uses complex potentials and their Laurent series expansions to reduce the potential energy of a plate to a contour integral that is evaluated numerically by the trapezoidal rule. A variational statement of equilibrium is applied to the potential energy to obtain a linear system of equations in terms of the unknown coefficients of the Laurent series, whose solutions yield the stress and displacement fields for a given problem. This approach represents a computationally efficient alternative to boundary collocation procedures that are typically used to solve problems based on complex potential theory. Comparisons are made with corresponding results obtained from finite element analysis for a square unsymmetrically laminated plate with a central inclined elliptical cutout and subjected to biaxial tension. The results confirm the validity of the solution method.
    keyword(s): Laminates , Potential energy , Stress , Potential theory (Physics) , Equilibrium (Physics) , Stress analysis (Engineering) , Finite element analysis , Plates (structures) , Displacement , Equations , Geometry , Linear systems , Tension , Functions AND Shear (Mechanics) ,
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      A Complex Potential-Variational Method for Stress Analysis of Unsymmetric Laminates With an Elliptical Cutout

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    http://yetl.yabesh.ir/yetl1/handle/yetl/124653
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    contributor authorE. Madenci
    contributor authorM. P. Nemeth
    contributor authorA. Barut
    date accessioned2017-05-09T00:03:57Z
    date available2017-05-09T00:03:57Z
    date copyrightSeptember, 2001
    date issued2001
    identifier issn0021-8936
    identifier otherJAMCAV-26523#731_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/124653
    description abstractA combined complex potential-variational solution method is developed for the analysis of unsymmetrically laminated plates with finite planform geometry, subjected to arbitrary edge loads, and with an inclined elliptical cutout. This method uses complex potentials and their Laurent series expansions to reduce the potential energy of a plate to a contour integral that is evaluated numerically by the trapezoidal rule. A variational statement of equilibrium is applied to the potential energy to obtain a linear system of equations in terms of the unknown coefficients of the Laurent series, whose solutions yield the stress and displacement fields for a given problem. This approach represents a computationally efficient alternative to boundary collocation procedures that are typically used to solve problems based on complex potential theory. Comparisons are made with corresponding results obtained from finite element analysis for a square unsymmetrically laminated plate with a central inclined elliptical cutout and subjected to biaxial tension. The results confirm the validity of the solution method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Complex Potential-Variational Method for Stress Analysis of Unsymmetric Laminates With an Elliptical Cutout
    typeJournal Paper
    journal volume68
    journal issue5
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1379528
    journal fristpage731
    journal lastpage739
    identifier eissn1528-9036
    keywordsLaminates
    keywordsPotential energy
    keywordsStress
    keywordsPotential theory (Physics)
    keywordsEquilibrium (Physics)
    keywordsStress analysis (Engineering)
    keywordsFinite element analysis
    keywordsPlates (structures)
    keywordsDisplacement
    keywordsEquations
    keywordsGeometry
    keywordsLinear systems
    keywordsTension
    keywordsFunctions AND Shear (Mechanics)
    treeJournal of Applied Mechanics:;2001:;volume( 068 ):;issue: 005
    contenttypeFulltext
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