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    Finite Inflation Analysis of Two Circumferentially Bonded Hyperelastic Circular Flat Membranes

    Source: Journal of Applied Mechanics:;2014:;volume( 081 ):;issue: 009::page 91012
    Author:
    Dhavale, Nikhil N.
    ,
    Tamadapu, Ganesh
    ,
    DasGupta, Anirvan
    DOI: 10.1115/1.4027972
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A finite inflation analysis of two circumferentially bonded hyperelastic circular flat membranes with uniform internal pressure is presented. The governing equations of equilibrium are obtained using the variational formulation. By making a suitable change in the field variables, the problem is formulated as a set of two coupled nonlinear two point boundary value problem (TPBVP) and is solved using the shooting method. Membranes of identical and dissimilar material properties are considered in the analysis. For dissimilar membranes, asymmetric inflation, and remarkably, deflation (after an initial phase of inflation) in one of the membranes in certain cases, has been observed. The effect of inflation pressure and material properties on the geometry of inflated configuration, state of stress, and the impending wrinkling condition of the membranes are also studied. This work has relevance to tunable inflated reflectors and lenses among other applications.
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      Finite Inflation Analysis of Two Circumferentially Bonded Hyperelastic Circular Flat Membranes

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    contributor authorDhavale, Nikhil N.
    contributor authorTamadapu, Ganesh
    contributor authorDasGupta, Anirvan
    date accessioned2017-05-09T01:05:00Z
    date available2017-05-09T01:05:00Z
    date issued2014
    identifier issn0021-8936
    identifier otherjam_081_09_091012.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/153880
    description abstractA finite inflation analysis of two circumferentially bonded hyperelastic circular flat membranes with uniform internal pressure is presented. The governing equations of equilibrium are obtained using the variational formulation. By making a suitable change in the field variables, the problem is formulated as a set of two coupled nonlinear two point boundary value problem (TPBVP) and is solved using the shooting method. Membranes of identical and dissimilar material properties are considered in the analysis. For dissimilar membranes, asymmetric inflation, and remarkably, deflation (after an initial phase of inflation) in one of the membranes in certain cases, has been observed. The effect of inflation pressure and material properties on the geometry of inflated configuration, state of stress, and the impending wrinkling condition of the membranes are also studied. This work has relevance to tunable inflated reflectors and lenses among other applications.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFinite Inflation Analysis of Two Circumferentially Bonded Hyperelastic Circular Flat Membranes
    typeJournal Paper
    journal volume81
    journal issue9
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4027972
    journal fristpage91012
    journal lastpage91012
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2014:;volume( 081 ):;issue: 009
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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