Finite-element modeling of soft solids with liquid inclusions

Wang, Yuhao; Henann, David L.

doi:10.1016/j.eml.2016.06.002

Cited by 27 publications

(11 citation statements)

References 32 publications

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“…This suggests the possible experimental or numerical determination of the surface tension and the stiffness contrast parameters through simultaneous measurement of the relative inclusion strain ε rel inc and the relative reinforcement slope S. Clearly, such measurements have a broad range of applications. This study on the shear modulus of twophase soft composites, suggests a number of natural extensions, such as finite deformations, recently addressed for liquid spherical inclusions using finite-element modeling [37], as well as the behavior of composites with spheroidal-or arbitrarily-shaped inclusions.…”

Section: Discussionmentioning

confidence: 89%

“…The so-called deformation amplification approach, originally proposed for rigid inclusions [38], was recently extended to the case of liquid spherical inclusions by Wang and Hennan [37] using numerical simulations. They collapsed on a single curve the nominal strain response of liquid inclusion-matrix composites versus the nominal applied stress (normalized by the infinitesimal shear modulus of the composite), for different values of φ and γ [37]. This suggests an intriguing possibility of characterizing the large deformation behavior of composites with elastic inclusions.…”

Section: Discussionmentioning

confidence: 99%

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

Mancarella

Wettlaufer

2017

Soft Matter

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The importance of surface tension effects is being recognized in the context of soft composite solids, where it is 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.

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Section: Discussionmentioning

confidence: 89%

Section: Discussionmentioning

confidence: 99%

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

Mancarella

Wettlaufer

2017

Soft Matter

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“…Elastocapillarity is also believed to be important for understanding mechanical properties of polymeric composites reinforced by nano- and microsize inclusions. − The theoretical approach to the problem is based on the modification of the classical Eshelby’s theory of the inclusion , which takes into account surface stress generated at the interface between inclusion and polymeric matrix. − It was shown by Style et al , that the most pronounce effect interfacial forces have on mechanical properties of polymeric composites with dispersed liquid inclusions. In particular, small liquid inclusions could play a role of stress concentrators and reinforce a soft polymeric matrix. , The effect of the inclusions can be completely screened when their size becomes half of the elastocapillary length of the material.…”

Section: Introductionmentioning

confidence: 99%

Molecular Dynamics Simulations of the Effect of Elastocapillarity on Reinforcement of Soft Polymeric Materials by Liquid Inclusions

2016

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We use molecular dynamics simulations to study mechanical properties of polymeric nanocomposites of liquid inclusions in polymeric network matrix. The shear modulus of nanocomposite is shown to be a universal function of the elastocapillary number γ NL /(G N R 0 ), where γ NL is the surface tension of the liquid/network interface, G N is the shear modulus of the network and R 0 is the initial size of liquid inclusions. First, in the range of elastocapillary numbers, γ NL /(G N R 0 ) < 1, the composite shear modulus increases with increasing elastocapillary number. In this interval of elastocapillary numbers, liquid inclusions soften the network such that the composite modulus G C is smaller than G N . However, for elastocapillary numbers γ NL /(G N R 0 ) ≈ 2, the liquid inclusions begin to reinforce the network resulting in G C > G N . In such composites, the surface energy of the deformed liquid inclusions stiffens the composite. When the elastocapillary number increases further, γ NL /(G N R 0 ) ≫ 1, the interfacial energy of network/liquid interface dominates the mechanical response of the composite. Elongation ratio of the liquid inclusions monotonically decreases with increasing elastocapillary number γ NL /(G N R 0 ).

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“…Javili and Steinmann [33,34] developed a finite element framework for continua with boundary energies that accounted for surface elasticity as well as surface tension for two-dimensional [33] and three-dimensional [34] solids at finite deformations. Henann and Bertoldi [35] employed this framework and established a numerical procedure appropriate for modeling elastocapillary phenomena using the commercial finite element (FE) package Abaqus and studied a variety of problems, see also [36]. A similar approach was adopted by Mora, et al [37] and an ad-hoc numerical code using the FEniCS finite element library has been provided.…”

Section: Introductionmentioning

confidence: 99%

Plateau Rayleigh instability of soft elastic solids. Effect of compressibility on pre and post bifurcation behavior

Dortdivanlioglu

Javili

2022

Extreme Mechanics Letters

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Finite-element modeling of soft solids with liquid inclusions

Cited by 27 publications

References 32 publications

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

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

Molecular Dynamics Simulations of the Effect of Elastocapillarity on Reinforcement of Soft Polymeric Materials by Liquid Inclusions

Plateau Rayleigh instability of soft elastic solids. Effect of compressibility on pre and post bifurcation behavior

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