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

Pirentis, AP; Lazopoulos, KA

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