On Rate Boundary Conditions for Soft Tissue Bifurcation AnalysisSource: Journal of Biomechanical Engineering:;2018:;volume( 140 ):;issue: 012::page 121010DOI: 10.1115/1.4041165Publisher: 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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contributor author | Emuna, Nir | |
contributor author | Durban, David | |
date accessioned | 2019-02-28T11:09:51Z | |
date available | 2019-02-28T11:09:51Z | |
date copyright | 10/1/2018 12:00:00 AM | |
date issued | 2018 | |
identifier issn | 0148-0731 | |
identifier other | bio_140_12_121010.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4253354 | |
description 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. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | On Rate Boundary Conditions for Soft Tissue Bifurcation Analysis | |
type | Journal Paper | |
journal volume | 140 | |
journal issue | 12 | |
journal title | Journal of Biomechanical Engineering | |
identifier doi | 10.1115/1.4041165 | |
journal fristpage | 121010 | |
journal lastpage | 121010-10 | |
tree | Journal of Biomechanical Engineering:;2018:;volume( 140 ):;issue: 012 | |
contenttype | Fulltext |