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    On Rate Boundary Conditions for Soft Tissue Bifurcation Analysis

    Source: Journal of Biomechanical Engineering:;2018:;volume( 140 ):;issue: 012::page 121010
    Author:
    Emuna, Nir
    ,
    Durban, David
    DOI: 10.1115/1.4041165
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Mechanical instability of soft tissues can either risk their normal function or alternatively trigger patterning mechanisms during growth and morphogenesis processes. Unlike standard stability analysis of linear elastic bodies, for soft tissues undergoing large deformations it is imperative to account for the nonlinearities induced by the coupling between load and surface changes at onset of instability. The related issue of boundary conditions, in context of soft tissues, has hardly been addressed in the literature, with most of available research employing dead-load conditions. This paper is concerned with the influence of imposed homogeneous rate (incremental) surface data on critical loads and associated modes in soft tissues, within the context of linear bifurcation analysis. Material behavior is modeled by compressible isotropic hyperelastic strain energy functions (SEFs), with experimentally validated material parameters for the Fung–Demiray SEF, over a range of constitutive response (including brain and liver tissues). For simplicity, we examine benchmark problems of basic spherical patterns: full sphere, spherical cavity, and thick spherical shell. Limiting the analysis to primary hydrostatic states we arrive at universal closed-form solutions, thus providing insight on the role of imposed boundary data. Influence of selected rate boundary conditions (RBCs) like dead-load and fluid-pressure (FP), coupled with constitutive parameters, on the existence and levels of bifurcation loads is compared and discussed. It is argued that the selection of the appropriate type of homogeneous RBC can have a critical effect on the level of bifurcation loads and even exclude the emergence of bifurcation instabilities.
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      On Rate Boundary Conditions for Soft Tissue Bifurcation Analysis

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    contributor authorEmuna, Nir
    contributor authorDurban, David
    date accessioned2019-02-28T11:09:51Z
    date available2019-02-28T11:09:51Z
    date copyright10/1/2018 12:00:00 AM
    date issued2018
    identifier issn0148-0731
    identifier otherbio_140_12_121010.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4253354
    description abstractMechanical instability of soft tissues can either risk their normal function or alternatively trigger patterning mechanisms during growth and morphogenesis processes. Unlike standard stability analysis of linear elastic bodies, for soft tissues undergoing large deformations it is imperative to account for the nonlinearities induced by the coupling between load and surface changes at onset of instability. The related issue of boundary conditions, in context of soft tissues, has hardly been addressed in the literature, with most of available research employing dead-load conditions. This paper is concerned with the influence of imposed homogeneous rate (incremental) surface data on critical loads and associated modes in soft tissues, within the context of linear bifurcation analysis. Material behavior is modeled by compressible isotropic hyperelastic strain energy functions (SEFs), with experimentally validated material parameters for the Fung–Demiray SEF, over a range of constitutive response (including brain and liver tissues). For simplicity, we examine benchmark problems of basic spherical patterns: full sphere, spherical cavity, and thick spherical shell. Limiting the analysis to primary hydrostatic states we arrive at universal closed-form solutions, thus providing insight on the role of imposed boundary data. Influence of selected rate boundary conditions (RBCs) like dead-load and fluid-pressure (FP), coupled with constitutive parameters, on the existence and levels of bifurcation loads is compared and discussed. It is argued that the selection of the appropriate type of homogeneous RBC can have a critical effect on the level of bifurcation loads and even exclude the emergence of bifurcation instabilities.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn Rate Boundary Conditions for Soft Tissue Bifurcation Analysis
    typeJournal Paper
    journal volume140
    journal issue12
    journal titleJournal of Biomechanical Engineering
    identifier doi10.1115/1.4041165
    journal fristpage121010
    journal lastpage121010-10
    treeJournal of Biomechanical Engineering:;2018:;volume( 140 ):;issue: 012
    contenttypeFulltext
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