NDLI: Surface tension and a self-consistent theory of soft composite solids with elastic inclusions

Content Provider	Royal Society of Chemistry (RSC)
Author	Mancarella, Francesco Wettlaufer, John S.
Copyright Year	2017
Abstract	The importance of surface tension effects is being recognized in the context of soft composite solids, where they are found to significantly affect the mechanical properties, such as the elastic response to an external stress. It has recently been discovered that Eshelby's inclusion theory breaks down when the inclusion size approaches the elastocapillary length L ≡ γ/E, where γ is the inclusion/host surface tension and E is the host Young's modulus. Extending our recent results for liquid inclusions, here we model the elastic behavior of a non-dilute distribution of isotropic elastic spherical inclusions in a soft isotropic elastic matrix, subject to a prescribed infinitesimal far-field loading. Within our framework, the composite stiffness is uniquely determined by the elastocapillary length L, the spherical inclusion radius R, and the stiffness contrast parameter C, which is the ratio of the inclusion to the matrix stiffness. We compare the results with those from the case of liquid inclusions, and we derive an analytical expression for elastic cloaking of the composite by the inclusions. Remarkably, we find that the composite stiffness is influenced significantly by surface tension even for inclusions two orders of magnitude more stiff than the host matrix. Finally, we show how to simultaneously determine the surface tension and the inclusion stiffness using two independent constraints provided by global and local measurements.
Starting Page	945
Ending Page	955
Page Count	11
File Format	HTM / HTML PDF
ISSN	1744683X
Volume Number	13
Issue Number	5
Journal	Soft Matter
DOI	10.1039/c6sm02396g
Language	English
Publisher	Royal Society of Chemistry
Access Restriction	Open
Subject Keyword	Isotropy Young's modulus Surface tension Infinitesimal Composite material
Content Type	Text
Resource Type	Article
Subject	Chemistry Condensed Matter Physics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Surface tension and a self-consistent theory of soft composite solids with elastic inclusions

Interfacial tension and a three-phase generalized self-consistent theory of non-dilute soft composite solids

A closed form large deformation solution of plate bending with surface effects

Surface tension and contact with soft elastic solids

Absence of surface mode in a visco-elastic material with surface tension

Surface tension and the mechanics of liquid inclusions in compliant solids

Self-consistent elastic continuum theory of degenerate, equilibrium aperiodic solids

Surface tension and the Mori-Tanaka theory of non-dilute soft composite solids

Measuring the elastic modulus of microgels using microdrops

Surface tension and a self-consistent theory of soft composite solids with elastic inclusions

Similar Documents

Surface tension and a self-consistent theory of soft composite solids with elastic inclusions

Interfacial tension and a three-phase generalized self-consistent theory of non-dilute soft composite solids

A closed form large deformation solution of plate bending with surface effects

Surface tension and contact with soft elastic solids

Absence of surface mode in a visco-elastic material with surface tension

Surface tension and the mechanics of liquid inclusions in compliant solids

Self-consistent elastic continuum theory of degenerate, equilibrium aperiodic solids

Surface tension and the Mori-Tanaka theory of non-dilute soft composite solids

Measuring the elastic modulus of microgels using microdrops

Surface tension and a self-consistent theory of soft composite solids with elastic inclusions