Sol–gel simulation—I: Scattering response

Campo, F.A.; Barbero, Ever J.

doi:10.1016/j.jnoncrysol.2011.10.023

Cited by 2 publications

(6 citation statements)

References 39 publications

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“…An example of the use of the PoS for the elastic properties of silica aerogels is presented in [66]. In [66], (5.6) was calculated directly using ANSYS [9].…”

Section: Principle Of Similarity (Pos)mentioning

confidence: 99%

“…An example of the use of the PoS for the elastic properties of silica aerogels is presented in [66]. In [66], (5.6) was calculated directly using ANSYS [9]. However, the separation of P into the multiplication of H(λ ijkl ) and P ⊡ has a mathematical structure that yields to power laws of the properties as a function of the scale.…”

Section: Principle Of Similarity (Pos)mentioning

confidence: 99%

“…Making i = j = k = l = m = 1, the math is simplified with a reduction of formalism generality. For example, coupled properties such as the Poisson ration ν require the use of (5.19) as shown in [66].…”

Section: Applications To Uncoupled Propertiesmentioning

confidence: 99%

“…For a value of r that approaches the characteristic size ξ of the cluster [66], also known as correlation length, the fractal dimension is D N ≈ 1.5. Note that the fractal dimension of a linear structure, like wires, is one, and the fractal dimension for an isolated point is zero.…”

Section: Experimental Fractal Dimensionmentioning

confidence: 99%

“…For this, density and scattering intensity of computer generated structures that resemble gels and Aerogels are evaluated. On the other hand, Mechanical response of gels and Aerogels and their relationship to scattering are investigated in Part II [66].…”

Section: Introductionmentioning

confidence: 99%

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Prediction of Mechanical Properties of Aerogels using a Multifractal Multidimensional Multiscaling Approach

Schickler¹,

Andres²

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Aerogels, produced by sol-gel technologies, have several applications in sensors, high energy particle physics, catalysis, heat insulation, supercapacitors, heat storage devices, high efficiency windows, among others. These applications take advantage of the outstanding properties these materials present as a result of their structure. However, the low mechanical properties that these materials present as result of the process, limits their commercial applications. In this dissertation, it is investigated the relationship between the processing conditions and mechanical properties of these materials computationally. The prediction of the effective properties for these materials is a daunting task because of their complex structure. Aerogels's structure is not homogeneous nor periodic, but rather amorphous, nanostructured, and highly porous, making the traditional techniques used to study other materials inapplicable. This dissertation presents the prediction of mechanical properties of aerogels calculated by a novel Multifractal Multidimensional Multiscaling Approach (MMMA) developed here. MMMA consists on recursively calculating the effective properties of the material along several scales. Since aerogels and structures produced by sol-gel technologies present a multifractal character, it is shown that MMMA is applicable to predict the effective properties of these materials. The implementation of MMMA requires a fractal characterization of the structure. For this, computational scattering experiments were performed on structures resembling aerogels. The structures resembling aerogels were produced computationally incorporating the chemistry and the physical phenomena involved in the formation process. MMMA was used to predict the mechanical properties of silica aerogels for different processing conditions. Thus, mechanical properties, scattering experiments, and processing conditions were investigated and correlated in this work. I want to thank many people that contributed directly or indirectly with this dissertation and the completion of my PhD. First, I want to thank Dr. Ever Barbero, that more than my advisor gave me the opportunity to dig into fundamental problems as the subject of this dissertation. From the office, Sandro Rivas who suffered major long talks about a diversity of problems related to the dissertation, as well as Joaquin Gutierrez, Adi Adumitroaie, and Juan Cruz. I also want to thank Marco Maurier who helped writing Fortran codes. I also want to thank the committee members for their comments and assistance. Last but not least I want to thank Dr. Boyd Edwards who besides introducing me into Non-linear dynamics, chaos and fractals, helped me as a committee member as long as the logistics allowed. iv Contents Acknowledgement iv List of Figures ix List of Tables xi List of Symbols xii D P property scaling exponent for decoupled case κ t thermal conductivity

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“…An example of the use of the PoS for the elastic properties of silica aerogels is presented in [66]. In [66], (5.6) was calculated directly using ANSYS [9].…”

Section: Principle Of Similarity (Pos)mentioning

confidence: 99%

Section: Principle Of Similarity (Pos)mentioning

confidence: 99%

Section: Applications To Uncoupled Propertiesmentioning

confidence: 99%

Section: Experimental Fractal Dimensionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations