Void-containing materials with tailored Poisson’s ratio

Goussev, Olga A.; Richner, Peter; Rozman, Michael G.; Gusev, Andrei A.

doi:10.1063/1.1289236

Cited by 13 publications

(12 citation statements)

References 7 publications

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“…One puts them into plastics to reduce the thermal expansion; however, for good toughness one usually also adds some rubber. [1] The numerical methodology employed has already been discussed elsewhere, [2,3] see also Gusev et al [3,4] for experimental validation. In this work we have conducted direct finite element calculations with three-phase computer models containing several hundred talcum and rubber inclusions.…”

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confidence: 99%

Non-Additive Morphology Effects in Thermal Expansion of Three-Phase Materials

Gusev¹,

Slot

2001

Adv. Eng. Mater.

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Minerals like talcum or mica have low thermal expansion. One puts them into plastics to reduce the thermal expansion; however, for good toughness one usually also adds some rubber. Rubbers have a higher thermal expansion than plastics, so, based on the additivity premise, it is commonly believed that the addition of rubber in the mineral-reinforced plastics should unavoidably increase the overall thermal expansion. In this work we have conducted direct finite element calculations with three-phase computer models containing several hundred talcum and rubber inclusions. It appears that by adding rubber one can actually reduce the overall thermal expansion. Intrinsically, this non-additive effect has a threephase nature, i.e., one cannot observe it by addressing the three-phase problem as a series of two-phase problems. It seems feasible to employ the non-additive morphology effects to design a new generation of advanced multi-phase materials with application-tailored dimensional stability, not only with respect to temperature changes but also solvent uptake and relaxation of the fabrication stresses.In the search for improved performance, industry is turning increasingly to the use of multi-phase complex-morphology materials. Figure 1 depicts one example, a three-phase talcum-reinforced rubber-toughened polymer-matrix material. Because of its remarkable impact resistance, this and other similar materials have become indispensable today in various applications, including in the automobile industry for the manufacturing of automobile bumpers. Unfortunately, plastics typically have a much larger thermal expansion than steels. As a consequence, upon temperature variations, plastic and steel components change their sizes differently. It would be ideal to reduce the thermal expansion of plastics to approach that of metals and steels.Here, we have studied the thermal expansion of threephase materials numerically for the first time, based on threephase computer models comprised of up to several hundred aligned non-overlapping rubber spheroids and a dozen talcum platelets randomly dispersed in a polymer matrix (see Fig. 2). Periodic morphology-adaptive meshes of up to 10 7 tetrahedra were built with an in-house Delaunay mesh generator. In numerical calculations, we used an iterative conjugate-gradient displacement-based finite-element solver with a diagonal preconditioner. [1] The numerical methodology employed has already been discussed elsewhere, [2,3] see also Gusev et al. [3,4] for experimental validation. Typical properties were assumed for the constituent phases. [5] Figure 3 presents the numerical results obtained. For spherical rubber particles, the predictions are in harmony with the common-sense additivity premise, i.e., the overall thermal expansion gradually increases upon increasing the rubber fraction. However, at quite moderate aspect ratios, a crossover takes place and the overall material behaviour becomes non-additive, i.e., the overall thermal expansion decreases upon increasing the rubber loading. Counte...

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confidence: 99%

Non-Additive Morphology Effects in Thermal Expansion of Three-Phase Materials

Gusev¹,

Slot

2001

Adv. Eng. Mater.

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“…Developing a sophisticated understanding of the role of porosity morphology on the dielectric characteristics of materials will help modern technology better design the mesoporous low permittivity materials which will be used as interlevel dielectrics ͑ILDs͒ for the next generation of MMICs. 29 The solid surface of a porous medium is typically complex, often fractal in nature. 26 Observe that lower permittivity values are achieved at the expense of a spectrum of other properties, such as hardness, strength, thermal con-ductivity, etc.…”

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confidence: 99%

Dielectric response of perforated two-dimensional lossy heterostructures: A finite-element approach

Mejdoubi

Brosseau

2006

Journal of Applied Physics

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“…However, the role of the spatial distribution of pores has rarely been considered. Goussev et al (2000) showed that the transverse Poisson's ratio of porous materials depends strongly upon the spatial arrangement of the pores. More recently, Liu et al (2016 (a) and (c)) also identified the effect of pore distribution on the elastic responses of ordered porous materials to inner pressure.…”

Section: Introductionmentioning

confidence: 99%

Multiscale modeling of the effective elastic properties of fluid-filled porous materials

Liu

Gan

et al. 2019

International Journal of Solids and Structures

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Fluid-filled porous materials are widely encountered in natural and artificial systems. A comprehensive understanding of the elastic behavior of such materials and its dependence on fluid diffusion is therefore of fundamental importance. In this work, a multiscale framework is developed to model the overall elastic response of fluid-filled porous materials. By utilizing a two-dimensional micromechanical model with porosity at two scales, the effects of fluid diffusion and the geometric arrangement of pores on the evolution of effective properties in fluid-filled porous materials are investigated. Initially, for a single-porosity model the effective elastic properties of the dry and fluid-filled porous materials with ordered pores are obtained theoretically by considering a geometrical factor, which is related to the distribution of pores in the matrix. Model predictions are validated by finite element simulations. By employing a double-porosity model, fluid diffusion from macro-to micro-scale pores driven by a pressure gradient is investigated, and the resulting time-dependent effective elastic properties are obtained for both constant pressure and constant injection rate conditions. It is found that the presence and diffusion of pressurized pore fluid significantly affect the elastic response of porous materials, and this must be considered when modeling such materials. It is expected that the proposed theoretical model will advance the understanding of the fluid-governed elastic response of porous materials with implications towards the analysis of geophysical, biological and artificial fluid-filled porous systems.

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Void-containing materials with tailored Poisson’s ratio

Cited by 13 publications

References 7 publications

Non-Additive Morphology Effects in Thermal Expansion of Three-Phase Materials

Non-Additive Morphology Effects in Thermal Expansion of Three-Phase Materials

Dielectric response of perforated two-dimensional lossy heterostructures: A finite-element approach

Multiscale modeling of the effective elastic properties of fluid-filled porous materials

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