Surface tension and the Mori-Tanaka theory of non-dilute soft composite solids
Number of Authors: 3
2016 (English)In: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, E-ISSN 1471-2946, Vol. 472, no 2189, 20150853Article in journal (Refereed) Published
Eshelby's theory is the foundation of composite mechanics, allowing calculation of the effective elastic moduli of composites from a knowledge of their microstructure. However, it ignores interfacial stress and only applies to very dilute composites-i.e. where any inclusions are widely spaced apart. Here, within the framework of the Mori-Tanaka multiphase approximation scheme, we extend Eshelby's theory to treat a composite with interfacial stress in the non-dilute limit. In particular, we calculate the elastic moduli of composites comprised of a compliant, elastic solid hosting a non-dilute distribution of identical liquid droplets. The composite stiffness depends strongly on the ratio of the droplet size, R, to an elastocapillary lengthscale, L. Interfacial tension substantially impacts the effective elastic moduli of the composite when R/L less than or similar to 100. When R < 3L/2 (R = 3L/2) liquid inclusions stiffen (cloak the far-field signature of) the solid.
Place, publisher, year, edition, pages
2016. Vol. 472, no 2189, 20150853
surface tension, soft composites, elastic moduli
IdentifiersURN: urn:nbn:se:su:diva-132002DOI: 10.1098/rspa.2015.0853ISI: 000377721200006OAI: oai:DiVA.org:su-132002DiVA: diva2:952116