Sangam: A Confluence of Knowledge Streams

Theoretical and finite-element investigation of the mechanical response of spinodal structures

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dc.creator Read, D.J.
dc.creator Teixeira, P.I.
dc.creator Duckett, R.A.
dc.creator Sweeney, John
dc.creator McLeish, T.C.B.
dc.date 2009-12-01T16:07:50Z
dc.date 2009-12-01T16:07:50Z
dc.date 2002
dc.identifier Read, D.J., Teixeira, P.I., Duckett, R.A., Sweeney, J. and McLeish, T.C.B. (2002). Theoretical and finite-element investigation of the mechanical response of spinodal structures. The European Physical Journal E - Soft Matter and Biological Physics. Vol. 8, No. 1, pp. 15-31.
dc.identifier http://hdl.handle.net/10454/4021
dc.description no
dc.description In recent years there have been major advances in our understanding of the mechanisms of phase separation in polymer and copolymer blends, to the extent that good control of phase-separated morphology is a real possibility. Many groups are studying the computational simulation of polymer phase separation. In the light of this, we are exploring methods which will give insight into the mechanical response of multiphase polymers. We present preliminary results from a process which allows the production of a two-dimensional finite-element mesh from the contouring of simulated composition data. We examine the stretching of two-phase structures obtained from a simulation of linear Cahn-Hilliard spinodal phase separation. In the simulations, we assume one phase to be hard, and the other soft, such that the shear modulus ratio ... is large (... ). We indicate the effect of varying composition on the material modulus and on the distribution of strains through the stretched material. We also examine in some detail the symmetric structures obtained at 50% composition, in which both phases are at a percolation threshold. Inspired by simulation results for the deformation of these structures, we construct a "scaling" theory, which reproduces the main features of the deformation. Of particular interest is the emergence of a lengthscale, below which the deformation is non-affine. This length is proportional to ... , and hence is still quite small for all reasonable values of this ratio. The same theory predicts that the effective composite modulus scales also as ..., which is supported by the simulations.
dc.language en
dc.publisher EDP Sciences
dc.relation http://epje.edpsciences.org/
dc.subject Spinodal structures
dc.subject Computational simulation
dc.subject Polymer phase separation
dc.subject Multiphase polymers
dc.subject Cahn-Hilliard spinodal phase separation
dc.subject Deformation
dc.title Theoretical and finite-element investigation of the mechanical response of spinodal structures
dc.type Article
dc.type published version paper


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