Modeling Payne effect on basis of linearization of a visco-hyperelastic model

The present work concerns the modeling of the Payne effect in nonlinear viscoelasticity. This effect is a characteristic property of filled elastomers. Indeed, under cyclic loading of increasing amplitude, a decrease is shown in the storage modulus and a peak in the loss modulus. In this study, the Payne effect is assumed to arise from a change of the material microstructure, i.e., the thixotropy. The so-called intrinsic time or shift time was inferred from solving a differential equation that represents the evolution of a material's microstructure. Then, the physical time is replaced by the shift time in the framework of a recent fractional visco-hyperelastic model, which was linearized in the neighborhood of a static pre-deformation. As a result, we have investigated the effects of static pre-deformation, frequency, and magnitude of dynamic strain on storage and loss moduli in the steady state. Thereafter, the same set of parameters identified from the complex Young's modulus was used to predict the stress in the pre-deformed configuration. Finally, it is demonstrated that the proposed model is reasonably accurate in predicting Payne effect.

Physicochemical Variation of the Main Components during Wild Pretreatment Process Based on the Concept of the Whole Utilization of Bamboo

Attempting to correlate the characteristics of the fractionated components from bamboo to its susceptibility to enzyme is often inconclusive depending on the parameters of pretreatment conditions. Based on the integrated analysis of chemical components, cellulose bioconversion, characteristic property of isolated hemicellulose, and lignin, the optimal mild pretreatment operation for Moso bamboo was 4% NaOH in 20% ethanol aqueous solution. A total of 91.9% mass was successfully recovered, and 66% bioconversion efficiency of the cellulosic sample was finally achieved. Meanwhile, over 25% hemicelluloses and 7% lignin were isolated, and the characteristic analysis indicated that the fractionated biomacromolecule maintained the original core structure, which is a benefit to be further utilized for the production of chemicals or polymers.

In Silico Modeling of the Influence of Environment on Amyloid Folding Using FOD-M Model

The role of the environment in amyloid formation based on the fuzzy oil drop model (FOD) is discussed here. This model assumes that the hydrophobicity distribution within a globular protein is consistent with a 3D Gaussian (3DG) distribution. Such a distribution is interpreted as the idealized effect of the presence of a polar solvent—water. A chain with a sequence of amino acids (which are bipolar molecules) determined by evolution recreates a micelle-like structure with varying accuracy. The membrane, which is a specific environment with opposite characteristics to the polar aquatic environment, directs the hydrophobic residues towards the surface. The modification of the FOD model to the FOD-M form takes into account the specificity of the cell membrane. It consists in “inverting” the 3DG distribution (complementing the Gaussian distribution), which expresses the exposure of hydrophobic residues on the surface. It turns out that the influence of the environment for any protein (soluble or membrane-anchored) is the result of a consensus factor expressing the participation of the polar environment and the “inverted” environment. The ratio between the proportion of the aqueous and the “reversed” environment turns out to be a characteristic property of a given protein, including amyloid protein in particular. The structure of amyloid proteins has been characterized in the context of prion, intrinsically disordered, and other non-complexing proteins to cover a wider spectrum of molecules with the given characteristics based on the FOD-M model.

The Corporeality Poetics in V. Shalamov’s Lyrics

The article is devoted to the category of corporeality and the forms of its implementation in V. Shalamov’s lyrics, viz. identifying both the uniqueness of the poet’s artistic approach and the connections with tradition, in particular, acmeistic one. The stated problems have not become the object of detailed literary anal- ysis yet. To disclose the topic, the author of the article uses materials of V.T. Shalamov’s archive (Russian State Archive of Literature and Art). The article considers the most important perspectives concerning the realization of corporeality category, viz. the principle of revealing mental aspects of a personality’s life through the prism of body images, when certain emotional sensory or ideological facets are realized in a poetic text with the help of a somatological code; the relation and interaction of spiritual and physical in the characteristic of the lyrical subject; the semantic filling of key leitmotifs in Shalamov’s lyrics related to the corporate sphere and human organism. The study reveals and considers Shalamov’s characteristic property of poetic thinking consisting in extrapolating corporeality to the phenomena of natural world, as well as intelligible phenomena. The author touches upon Shalamov’s attitude to religion and specifics concerning the refraction of moral ideas in poetic discourse through the prism of tangible images. The article discloses aspects relating to the interpretation of corporeality problem in Shalamov’s lyrics and correlating with acmeistic artistic attitude.

Comparison of discontinuous damage models of Mullins-type

The Mullins effect is a characteristic property of filled rubber materials whose accurate and efficient modelling is still a challenging task. Innumerable constitutive models for elastomers are described in the literature. Therefore, this contribution gives a review on some widely used approaches, presents a classification, proves their thermodynamic consistency, and discusses reasonable modifications. To reduce the wide range of models, the choice is restricted to those which reproduce the idealised, discontinuous Mullins effect. Apart from the theoretical considerations, two compounds were produced and tested under cyclic uniaxial and equibiaxial tension as well as pure shear. Based on this experimental data, a benchmark that compares the fitting quality of the discussed models is compiled and favourable approaches are identified. The results are a sound basis for establishing novel or improving existing rubber models.

Capacity of entanglement in local operators

We study the time evolution of the excess value of capacity of entanglement between a locally excited state and ground state in free, massless fermionic theory and free Yang-Mills theory in four spacetime dimensions. Capacity has non-trivial time evolution and is sensitive to the partial entanglement structure, and shows a universal peak at early times. We define a quantity, the normalized “Page time”, which measures the timescale when capacity reaches its peak. This quantity turns out to be a characteristic property of the inserted operator. This firmly establishes capacity as a valuable measure of entanglement structure of an operator, especially at early times similar in spirit to the Rényi entropies at late times. Interestingly, the time evolution of capacity closely resembles its evolution in microcanonical and canonical ensemble of the replica wormhole model in the context of the black hole information paradox.

Competency approach to the study of the second-order surface interface as the geometric location of points in space

The necessity of the formation of students' functional literacy as a competency approach to the training of future Mathematics teachers is substantiated on the example of studying of one of the topics of analytical geometry. It has been established that a prerequisite for the development of any competency prescribed in the standards of secondary education is the initial existence of a sufficiently new concept of functional literacy for a student of a certain level. The basic literacy comes down to the ability to read, write and express of one's thoughts correctly. Let us consider the issue of functional literacy from the point of view of the pedagogic specialty. Acquaintance with the well-known textbooks of analytic geometry allows us to say that 2nd order algebraic surfaces in Euclidean space are determined in most cases algebraically by means of equations. A constructive approach is also of use – surfaces are obtained by rotating 2nd degree curves around their symmetry axes and by deformation of the resulting surfaces by compression. The metric approach, as it used for 2nd order curves, is restricted only by the formulation of problems to find the certain locus of points in space. The exception is the article Dmitriy Perepyolkin which was published in 1936. In this paper the locus of points in space with the following characteristic property is studied – the ratio of the distance to a given point to the distance to a given straight line is constant. The strait line is assumed not to contain the point. The study is held out in pure geometrical manner – it is done using the method of sections and known loci of points on the surface. In the present article we study the locus of points in space defined by metric relation to a certain set of pairs of points, lines and planes. It is shown that any non-degenerate 2nd order surface can be considered as a certain locus of points of space and this interpretation is not unique.

The activities of Geopolymer aggregate and Fly ash with different Grades of concrete M25, M30, & M40

Endeavors are expected to grow harmless to the ecosystem development materials, to diminish ozone depleting substance outflows. This paper persents the exercises of geo polymer total and fly debris with various evaluation of M25, M30 and M40. We are confronting climate issue because of greatest utilization of normal development material, to diminish this kind of issue this paper is a thought of renewal and utilization of contamination free, eco-accommodating, development material for example fly debris. Fly debris assumes an indispensable part in the creation cycle of Geopolymer in light of Quantity and fineness. In geopolymer concrete, a result material wealthy in silicon and alumminium, for example, low-calcium fly debris, is synthetically actuated by a high-soluble answer for structure a glue that ties the free coarse and fine totals, and other unreacted material in the blend. Concrete is one of the greatest devoured essential development materials on the planet with an imperative job in the development field. Assembling of one ton of concrete delivers almost one ton of CO2 causing natural issues. So there is a need to diminish concrete creation and utilize a few added substances to make concrete economical. Because of developing ecological mindfulness, there is a heightening interest in the utilization of fly debris. It tends to be utilized either as an admixture or as fragmentary substitution of concrete or as fractional substitution of fine total and furthermore as beneficial expansion to accomplish various properties of cement. This paper presents the trial examinations on the impact of fly debris content on compressive strength of M25, M30 and M40 evaluations of cement at an age of 3, 7, and 28. Because of higher finess shows higher workbability, strength with early length of warming. In this examination the strength properties of cement of M-40 evaluation can be dissected by supplanting concrete by pozzolanic materials like Fly Ash and actuated by profoundly antacid answers for go about as a fastener in blend. Utilization of Cement in any nation is straightforwardly identified with the nation's foundation and along these lines development in deciding the improvement of the country. India is the second biggest maker of concrete on the planet. Creation of Portland concrete not just deliveries 7% of the World's carbon dioxide, the concrete business likewise utilizes a great deal of characteristic property like limestone, earth, oil, coal and different substances to save the common assets and to lessen the contamination because of the creation of concrete is by prohibitive the concrete substance in the solid without bargaining the strength. Concrete has a negative effect over Environmental, in light of the fact that at the hour of assembling it radiates about a huge load of ozone harming substance (CO2) into the air for each huge load of concrete manufactured.There were endeavors before to incompletely supplant concrete in concrete with new mixtures and industry results.

Mathematical Considerations for Unmanned Aerial Vehicle Navigation in the Magnetic Field of Two Parallel Transmission Lines

This publication deals with the navigation of unmanned aerial vehicles (UAVs) moving in the magnetic field of two long, straight, parallel conductors, which is of high interest for several new technical applications. How the position and orientation of the UAV can be calculated using a minimal number of only three three-axis magnetometers are discussed. It is shown that the angles can be determined without the knowledge of the conductor currents and the magnetic field equations, but only by combining the sensor measurements with the rotation matrix and exploiting a characteristic property of the magnetic field. Furthermore, different strategies were investigated to determine the respective sensor positions. An analytical solution was derived from the nonlinear magnetic field equations, which promises a low computational time. It is shown that for a given sensor, several solutions exist, from which the correct one has to be selected. Therefore, a specific detection method is introduced. Once the solution is known, the UAV location can be determined. Finally, the overall algorithm was tested by simulations far from and near the conductors with superimposed typical magnetic noise.