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    Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle

    Source: Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 003::page 539
    Author:
    H. Murakawa
    ,
    S. N. Atluri
    DOI: 10.1115/1.3424358
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The possibility of deriving a complementary energy principle, for the incremental analysis of finite deformations of nonlinear-elastic solids, in terms of incremental Piola-Lagrange (unsymmetric) stress alone, is examined. A new incremental hybrid stress finite-element model, based on an incremental complementary energy principle involving both the incremental Piola-Lagrange stress, and an incremental rotation tensor which leads to discretization of rotational equilibrium equations, is presented. An application of this new method to the finite strain analysis of a compressible nonlinear-elastic solid is included, and the numerical results are discussed.
    keyword(s): Elasticity , Finite element analysis , Stress , Equilibrium (Physics) , Tensors , Deformation , Solids , Equations , Finite element model AND Rotation ,
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      Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/90645
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    contributor authorH. Murakawa
    contributor authorS. N. Atluri
    date accessioned2017-05-08T23:04:07Z
    date available2017-05-08T23:04:07Z
    date copyrightSeptember, 1978
    date issued1978
    identifier issn0021-8936
    identifier otherJAMCAV-26098#539_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/90645
    description abstractThe possibility of deriving a complementary energy principle, for the incremental analysis of finite deformations of nonlinear-elastic solids, in terms of incremental Piola-Lagrange (unsymmetric) stress alone, is examined. A new incremental hybrid stress finite-element model, based on an incremental complementary energy principle involving both the incremental Piola-Lagrange stress, and an incremental rotation tensor which leads to discretization of rotational equilibrium equations, is presented. An application of this new method to the finite strain analysis of a compressible nonlinear-elastic solid is included, and the numerical results are discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFinite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle
    typeJournal Paper
    journal volume45
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424358
    journal fristpage539
    journal lastpage547
    identifier eissn1528-9036
    keywordsElasticity
    keywordsFinite element analysis
    keywordsStress
    keywordsEquilibrium (Physics)
    keywordsTensors
    keywordsDeformation
    keywordsSolids
    keywordsEquations
    keywordsFinite element model AND Rotation
    treeJournal of Applied Mechanics:;1978:;volume( 045 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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