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On the singularities of a constrained (incompressible-like) tensegrity-cytoskeleton model under equitriaxial loading

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dc.contributor.author Pirentis, AP en
dc.contributor.author Lazopoulos, KA en
dc.date.accessioned 2014-03-01T01:34:02Z
dc.date.available 2014-03-01T01:34:02Z
dc.date.issued 2010 en
dc.identifier.issn 0020-7683 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/20654
dc.subject Bifurcation en
dc.subject Constraints en
dc.subject Cytoskeleton en
dc.subject Singularity theory en
dc.subject Stability en
dc.subject Tensegrity en
dc.subject.classification Mechanics en
dc.subject.other Characteristic three en
dc.subject.other Constraints en
dc.subject.other Critical behaviour en
dc.subject.other Critical condition en
dc.subject.other Cusp catastrophe en
dc.subject.other Cytoskeletons en
dc.subject.other Elastic bar en
dc.subject.other Elastic strings en
dc.subject.other Mathematical approach en
dc.subject.other Non-constrained en
dc.subject.other Singularity theory en
dc.subject.other Symmetric equilibrium en
dc.subject.other Tensegrities en
dc.subject.other Total potential energy en
dc.subject.other Bars (metal) en
dc.subject.other Bifurcation (mathematics) en
dc.subject.other Constraint theory en
dc.subject.other Pressure effects en
dc.subject.other System stability en
dc.subject.other Three dimensional en
dc.title On the singularities of a constrained (incompressible-like) tensegrity-cytoskeleton model under equitriaxial loading en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.ijsolstr.2009.11.010 en
heal.identifier.secondary http://dx.doi.org/10.1016/j.ijsolstr.2009.11.010 en
heal.language English en
heal.publicationDate 2010 en
heal.abstract Singularity theory is applied for the study of the characteristic three-dimensional tensegrity-cytoskeleton model after adopting an incompressibility constraint. The model comprises six elastic bars interconnected with 24 elastic string members. Previous studies have already been performed on non-constrained systems; however, the present one allows for general non-symmetric equilibrium configurations. Critical conditions for branching of the equilibrium are derived and post-critical behaviour is discussed. Classification of the simple and compound singularities of the total potential energy function is effected. The theory is implemented into the cusp catastrophe for the case of one-dimensional branching of the buckling-allowed tensegrity model, and an elliptic umbilic singularity for compound branching of a rigid-bar model. It is pointed out that singularity studies with constraints demand a quite different mathematical approach than those without constraints. (C) 2009 Elsevier Ltd. All rights reserved. en
heal.publisher PERGAMON-ELSEVIER SCIENCE LTD en
heal.journalName International Journal of Solids and Structures en
dc.identifier.doi 10.1016/j.ijsolstr.2009.11.010 en
dc.identifier.isi ISI:000274842500003 en
dc.identifier.volume 47 en
dc.identifier.issue 6 en
dc.identifier.spage 759 en
dc.identifier.epage 767 en


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