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Pobedrya, B. E.; Rodríguez, Ana Ruiz

doi:10.1023/a:1014217230202

Cited by 3 publications

(2 citation statements)

References 2 publications

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“…прошлого столетия одновременно в трех странах -во Франции [23], в США и в России [24]. Методика определения эффективных модулей упругости на основе метода осреднения представлена в [25]. Усреднение деформационных и прочностных свойств в механике скальных пород описано в [26].…”

Section: вычислительный способ определения упругих модулей и параметр...unclassified

Calculation of effective properties of geocomposites based on computed tomography images

Artamonova¹,

Sheshenin²,

Orlov³

et al. 2022

PNRPU Mechanics Bulletin

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Biot’s parameter is included in the formula for calculating effective stresses and should be taken into account when assessing the stress-strain state of a water-saturated rock mass. A method for calculating Biot’s tensor parameter based on asymptotic averaging of the equilibrium equation for a fluid-saturated porous medium is proposed. Calculations of elastic properties and Biot’s coefficient were carried out on various types of rocks - limestone, dolomite, hyaloclastite, basalt. The calculations were carried out using 3D models of geocomposites built from X-ray computed tomography images. The results of 3D calculations of Young's modulus and Biot’s coefficient coincided with the results of experimental determinations of these properties by the ultrasonic method. This fact shows the expediency of using a computational approach that implements asymptotic averaging to estimate the effective properties using 3D models of the real rock structure. The results of 3D and 2D simulation of effective properties of geocomposites are compared. 2D models were built using photographs of rock sections. It was found that the values of Young's modulus and Biot’s parameter for 2D models differ from the corresponding experimental and 3D calculation results by 20-30 %. Therefore, 2D modeling is not suitable for evaluating the effective properties of porous geomaterials. Based on the results of calculations and experiments, the dependences of Young's modulus and Biot’s coefficient on porosity were obtained and studied. These dependencies are used in non-linear numerical simulation of the consolidation of water-saturated soils. The results of the study showed that Biot’s coefficient does not depend on Young's modulus of the rock skeleton material. The influence of the pore shape on Young's modulus and Biot’s coefficient was studied using 2D calculations. A method for predicting the shape of pores from the values of porosity and Young's modulus using neural networks is proposed. Using this method, a specific algorithm for predicting the shape of pores in hyaloclastites has been implemented and studied.

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Section: вычислительный способ определения упругих модулей и параметр...unclassified

Calculation of effective properties of geocomposites based on computed tomography images

Artamonova¹,

Sheshenin²,

Orlov³

et al. 2022

PNRPU Mechanics Bulletin

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“…Оскільки у вихідних рівняннях визначений малий параметр, метод можливо вважати методом розкладання по малому параметру. Победря в роботі [5] узагальнив результати по розвитку і практичному застосуванню методу усереднення в задачах механіки композиційних матеріалів.…”

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Чисельне Визначення Ефективних Пружних Характеристик Тривимірноармованого Волокнистого Композиційного Матеріалу

Морозов¹

2020

aktt

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The processes occurring in composite materials are determined by differential equations in partial derivatives with variable coefficients. Most composite materials have a periodic structure, so the coefficients in the equations are rapidly oscillatory periodic functions. The most effective method for studying the stress and deformation field in structures made of composite materials is the method of finite elements, where a nonhomogeneous composite material is replaced by an equivalent homogeneous anisotropic material. To determine averaged characteristics of a composite material with a periodic structure requires a verified methodology allowing to do this. Therefore, the fundamental goal of the mechanics of composite materials is to calculate the effective elastic characteristics of the material. The paper considers the urgent issue of determining effective elastic characteristics of three-dimensional reinforced composite materials based on known elastic properties of fibers and matrix and distribution of reinforcing fibers by volume of composite material.The paper presents the mathematical modeling of the minimum three-dimensional representative volume element based on the specified reinforcement scheme and geometrical dimensions of components. Numerical experiments are performed with the ANSYS software package. A series of numerical experiments simulate six deformation cases: uniaxial tension in the X, Y, Z directions, and shear in the XY, YZ, and XZ planes. Numerical studies of the stress and strain state of the representative volume element of composite material determine the effective elastic constants of equivalent homogeneous material. Two series of calculations are performed with specifying appropriate symmetry and periodicity conditions.The results of the experimental study allow for the verification of the proposed methodology for determining the effective elastic characteristics of three-dimensional reinforced fiber composite materials. The developed numerical methodology enables us to solve the issues of the mechanics of composite materials with the help of modern software packages in the mathematical framework of which the finite element method is used.

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Stress concentration at the circular hole of cyclically bent layered composite plate within the framework of a moment theory of thermoviscoelasticity

Katunin

2014

J. Appl. Math. Comput. Mech.

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In the continuum mechanics there is a class of problems that cannot be solved directly or the solutions of these problems are affected by large errors when the classical equations of thermoviscoelasticity are considered. The paper discusses a special case of such problems-the cyclic bending of a composite plate with a circular hole subjected to the stationary self-heating, which was solved within the framework of a moment theory of thermoviscoelasticity.

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Cited by 3 publications

References 2 publications

Calculation of effective properties of geocomposites based on computed tomography images

Calculation of effective properties of geocomposites based on computed tomography images

Чисельне Визначення Ефективних Пружних Характеристик Тривимірноармованого Волокнистого Композиційного Матеріалу

Stress concentration at the circular hole of cyclically bent layered composite plate within the framework of a moment theory of thermoviscoelasticity

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