Non-free gas of dipoles of non-singular screw dislocations and the shear modulus near the melting

Malyshev, C.

doi:10.1016/j.aop.2014.08.011

Cited by 3 publications

(4 citation statements)

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“…A thermodynamical description is developed in [20,21] for non-singular screw dis-locations described by the Einstein-like field theory [16]. The dislocation core energy in [20,21] originates, by means of linearizations, from the Lagrangian [15]. The partition function of collection of the screw dislocations is proposed in [20] in the functional integral form so that the modified screw dislocation arises as its saddle point.…”

Section: Introductionmentioning

confidence: 99%

“…In Refs. [20,21] the renormalization of the elastic constants due to proliferation of dipoles of the modified screw dislocations is studied. The renormalization of the shear modulus under the influence of the dislocation cores is obtained near the melting transition [21].…”

Section: Introductionmentioning

confidence: 99%

“…The approach[20,21] is concerned with individual defects, and it is not of the type of the disorder field theories developed in[1][2][3] for various phase transitions (e.g., superfluidity, superconductivity, melting).…”

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confidence: 99%

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The Einsteinian Translational Gauging and the Dislocations With Finite-Sized Core

Malyshev¹

2015

The Thirteenth Marcel Grossmann Meeting

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Einstein-like Lagrangian field theory is developed to describe elastic solid containing dislocations with finite-sized core. The framework of the Riemann-Cartan geometry in three dimensions is used, and the core self-energy is expressed by the translational part of the general Lagrangian quadratic in torsion and curvature. In the Hilbert-Einstein case, the gauge equation plays the role of non-conventional incompatibility law. The stress tensor of the modified screw dislocations is smoothed out within the core. The renormalization of the elastic constants caused by proliferation of the dislocation dipoles is considered. The use of the singularityless dislocation solution modifies the renormalization of the shear modulus in comparison with the case of singular dislocations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Einsteinian Translational Gauging and the Dislocations With Finite-Sized Core

Malyshev¹

2015

The Thirteenth Marcel Grossmann Meeting

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“…The thermal stability of polymers is connected not only with the initial degradation temperature (T g ) [1], but also, with dislocations due to mechanic and thermal treatment [2]. In particular, the apparent activation energy (E a ) is of great importance aspect of degradation of such materials [3].…”

Section: Introductionmentioning

confidence: 99%

Activation energy determination in multi-frequency dynamic molecular interaction analysis of PEG 4000-Cristobalite composites using DMA

Fauziyah

Fadly

Rosyidi

et al. 2017

J. Phys.: Conf. Ser.

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Abstract. Degradation activation energy of PEG-Cristobalite composites was investigated using Dynamic Mechanical Analysis (DMA) instrument at multi-frequency shear mode. The applied frequencies were 1, 10, 100, and 200 Hz. The cristobalite of as much as 20% and 40% by weight was used as the filler of the composites, while PEG 4000 was the matrix. Results showed that additional of cristobalite improved the storage modulus (G') of the composites almost five times of the pure PEG 4000. Moreover, such addition and higher applied frequency shifted glass transition temperature (T g ) to higher values. Furthermore, the multi-frequency measurement provided the degradation activation energy of the samples, where the highest value was reached by the 40% sample, i.e. 571.4 kJ. This result implied that there was a certain energetic barrier from the filler that the structural units of polymer need to surmount collectively before its viscous flow occured. IntroductionResearch focus in modern polymeric materials includes thermal stability as well as physical and mechanical properties at high temperature. The thermal stability of polymers is connected not only with the initial degradation temperature (T g ) [1], but also, with dislocations due to mechanic and thermal treatment [2]. In particular, the apparent activation energy (E a ) is of great importance aspect of degradation of such materials [3].DMA technique is useful in characterizing polymer degradation as a function of frequency, temperature, time, stress or a combination of these parameters [4][5][6]. The dynamic mechanical responses of degradation are usually observed at temperatures near (or, in some cases, above) the melting point. As a result, the lifetime predictions based on these measurements can be determined. DMA response also depends on the physical or structural arrangement of phases such as interface, morphology and the nature of the constituents [4,5]. In particular, the effect of filler, fibre content, fibre orientation in fibre-reinforced composite materials has been extensively studied [7,8].Cristobalite is a metastable silica polymorph. It exists at room temperature but easily transformed into quartz at high temperature. There is no study on the utilization of cristobalite as a filler in a composite system. This phase is very unique since it exhibits a negative Poisson's ratio [9][10][11][12]. Materials with a negative Poisson's ratio (called auxetic material) have a counterintuitive behaviour of becoming wider when stretched and thinner when compressed [12]. This behaviour has many beneficial effects on the materials' macroscopic properties (e.g., increased indentation resistance, a

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The Einstein-Like Field Theory and Renormalization of the Shear Modulus

Malyshev

2016

J Math Sci

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Non-free gas of dipoles of non-singular screw dislocations and the shear modulus near the melting

Cited by 3 publications

References 41 publications

The Einsteinian Translational Gauging and the Dislocations With Finite-Sized Core

The Einsteinian Translational Gauging and the Dislocations With Finite-Sized Core

Activation energy determination in multi-frequency dynamic molecular interaction analysis of PEG 4000-Cristobalite composites using DMA

The Einstein-Like Field Theory and Renormalization of the Shear Modulus

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