Sökning: onr:"swepub:oai:DiVA.org:kth-16982" >
Soft modes near the...
Soft modes near the buckling transition of icosahedral shells
- Artikel/kapitelEngelska2007
Förlag, utgivningsår, omfång ...
Nummerbeteckningar
-
LIBRIS-ID:oai:DiVA.org:kth-16982
-
https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-16982URI
-
https://doi.org/10.1103/PhysRevE.76.031911DOI
Kompletterande språkuppgifter
-
Språk:engelska
-
Sammanfattning på:engelska
Ingår i deldatabas
Klassifikation
-
Ämneskategori:ref swepub-contenttype
-
Ämneskategori:art swepub-publicationtype
Anmärkningar
-
QC 20100525
-
Icosahedral shells undergo a buckling transition as the ratio of Young's modulus to bending stiffness increases. Strong bending stiffness favors smooth, nearly spherical shapes, while weak bending stiffness leads to a sharply faceted icosahedral shape. Based on the phonon spectrum of a simplified mass-and-spring model of the shell, we interpret the transition from smooth to faceted as a soft-mode transition. In contrast to the case of a disclinated planar network where the transition is sharply defined, the mean curvature of the sphere smooths the transition. We define elastic susceptibilities as the response to forces applied at vertices, edges, and faces of an icosahedron. At the soft-mode transition the vertex susceptibility is the largest, but as the shell becomes more faceted the edge and face susceptibilities greatly exceed the vertex susceptibility. Limiting behaviors of the susceptibilities are analyzed and related to the ridge-scaling behavior of elastic sheets. Our results apply to virus capsids, liposomes with crystalline order, and other shell-like structures with icosahedral symmetry.
Ämnesord och genrebeteckningar
-
mechanical-properties
-
viral capsids
-
membranes
-
dynamics
-
viruses
-
symmetry
-
order
Biuppslag (personer, institutioner, konferenser, titlar ...)
-
Lidmar, JackKTH,Statistisk fysik(Swepub:kth)u1hihyek
(författare)
-
Nelson, David R.
(författare)
-
KTHStatistisk fysik
(creator_code:org_t)
Sammanhörande titlar
-
Ingår i:Physical Review E76:31539-3755
Internetlänk
Hitta via bibliotek
Till lärosätets databas