Stress field due to elastic mass growth on spherical and cylindrical substrates

Dafalias, YF; Panayotounakos, DE; Pitouras, Z

dc.contributor.author	Dafalias, YF	en
dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Pitouras, Z	en
dc.date.accessioned	2014-03-01T01:29:14Z
dc.date.available	2014-03-01T01:29:14Z
dc.date.issued	2008	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19177
dc.subject	Actin gel	en
dc.subject	Cellular motility	en
dc.subject	Finite deformations	en
dc.subject	Mass growth	en
dc.subject	Mechanobiology	en
dc.subject	Non-linear elasticity	en
dc.subject	Soft tissues mechanics	en
dc.subject	Stress analysis	en
dc.subject.classification	Mechanics	en
dc.subject.other	(abiotic and biotic) stress	en
dc.subject.other	actin filaments	en
dc.subject.other	Analytical expressions	en
dc.subject.other	Closed form	en
dc.subject.other	Constitutive laws	en
dc.subject.other	Cross linking	en
dc.subject.other	Cylindrical surfaces	en
dc.subject.other	Elastic strain (ES)	en
dc.subject.other	Elsevier (CO)	en
dc.subject.other	Growing mass	en
dc.subject.other	In-vitro	en
dc.subject.other	In-vivo	en
dc.subject.other	Isotropic constitutive laws	en
dc.subject.other	mass growth	en
dc.subject.other	Mechano biology	en
dc.subject.other	Poisson	en
dc.subject.other	Radial directions	en
dc.subject.other	Simplifying assumptions	en
dc.subject.other	soft tissues	en
dc.subject.other	Spherical beads	en
dc.subject.other	Spherical substrates	en
dc.subject.other	Spherical(pivot)	en
dc.subject.other	stress fields	en
dc.subject.other	Stress variations	en
dc.subject.other	Biochemical engineering	en
dc.subject.other	Biomass	en
dc.subject.other	Biomechanics	en
dc.subject.other	Biophysics	en
dc.subject.other	Chemical reactions	en
dc.subject.other	Colloids	en
dc.subject.other	Gelation	en
dc.subject.other	Gels	en
dc.subject.other	Mechanics	en
dc.subject.other	Monomers	en
dc.subject.other	Poisson ratio	en
dc.subject.other	Polymers	en
dc.subject.other	Renewable energy resources	en
dc.subject.other	Standards	en
dc.subject.other	Stresses	en
dc.subject.other	Tensile stress	en
dc.subject.other	Substrates	en
dc.title	Stress field due to elastic mass growth on spherical and cylindrical substrates	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2008.03.029	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2008.03.029	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	Mass growth on cylindrical and spherical substrates is a phenomenon which can be related to the biochemical creation of an elastic actin gel shell by polymerization and cross linking of actin filaments either in vivo on bacteria cylindrical surfaces as a means for their motility or in vitro on spherical beads as a means for experimentally studying the previous in vivo case. Such mass growth is strongly effected by the developed stress field. The objective of this paper is to accurately determine this stress field assuming elasticity of the growing mass and symmetrical growth. Based on the special kinematics of mass growing on spherical and cylindrical substrates, inwards or outwards from them, and various isotropic constitutive laws for both small and finite elastic strains, it is possible to obtain the solution for the stress field in closed analytical form for all cases considered. This expands very significantly recent findings [Dafalias, Y.F., Pitouras, Z., 2008. Stress field in actin gel growing on spherical substrate. Biomechanics and Modeling in Mechanobiology, doi:10.1007/s10237-007-0113-y.] for some constitutive laws and outwards growth on spherical substrates only. The effect of biomass compressibility is shown to be of cardinal importance for the developed stress field, questioning the validity of the simplifying assumption of a zero value Poisson ratio usually made in the relevant biomechanics literature for simplicity. Few selected graphs of stress variation along the radial direction illustrate the analytical findings. The obtained closed form analytical expressions for stress can be a standard reference tool in this important area of stress-modulated soft tissue growth. (C) 2008 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.2008.03.029	en
dc.identifier.isi	ISI:000258021800003	en
dc.identifier.volume	45	en
dc.identifier.issue	17	en
dc.identifier.spage	4629	en
dc.identifier.epage	4647	en