Numerical investigation of sliding frictional contact in functionally graded steels (FGS)

Vanini, S.A. Sadough; Shahba, Mohamad; Kordani, Naser

doi:10.1590/1516-1439.204713

Cited by 4 publications

(4 citation statements)

References 13 publications

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“…Вступ. При дослідженні процесів тертя та зношування матеріалів з покриттями для задач контактної взаємодії важливим напрямком є комп'ютерна автоматизація розрахунків з використанням математичного апарату імітаційного моделювання на основі аналітикочислових методів [11]. На практиці додаткових досліджень потребують задачі про зношування тонких покриттів, оскільки питання підвищення зносостійкості деталей шляхом додавання накладок та напилень є актуальним у техніці та виробництві з використанням імітаційних моделей механічних систем з точки зору фінансових затрат для проведення експериментальних досліджень [1,10].…”

Section: ключові слова: контактна взаємодія інтегро-диференціальні рі...unclassified

Simulation of the Wear Process of a Thin Coating of an Elastic Semi-Plane by Stamps of the Canonical Form

Sachuk¹,

Sachuk²

2022

mcm-math

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In the article, using mathematical modeling methods, the contact inter-action of rigid bodies (stamps) of canonical form with an elastic half-plane protected by a Winkler coating is investigated, taking into account the wear of the intermediate layer.Under the conditions of a flat problem of the theory of elasticity basedon the abrasive wear model, which is expressed through a linear relation-ship between the intensity of wear and the work of friction forces, the main integro-differential equation of the problem for determining the contact pressure between the stamp and the coating is constructed.A technique for solving an integro-differential equation using Cheby-shov polynomials has been developed, which reduces the problem to an in-finite system of linear algebraic equations. A time-stepping algorithm was proposed for solving the equation. According to the algorithm, the working time of the friction pair with wear is divided into small time segments and the assumption is made that the contact area and contact pressure are con-stant at each time interval.When constructing graphs of contact pressure at different fixed mo-ments of time for the variable area of wear (contact), which, according to the assumption, is constant at each fixed step of the breakdown of the time of operation of the friction pair, an algorithm was used to reduce the ob-tained numerical data to one coordinate system, taking into account the proportionality of the ratio of the current area of the contact at the corre-sponding moment of time to the initial contact area at the moment of time equal to zero (problem without wear).The selection and analysis of contact pairs with various physical and mechanical parameters that would satisfy the selected mathematical model were carried out. For the dimensionless quantities described in the work, reverse calculations were carried out with the transition to dimensional quantities.For two different pairs of materials, based on the given force applied to the stamp, the corresponding initial contact area and the wear area were numerically calculated by the semi-inverse method at the given time inter-vals of the friction pair's operation. The characteristics of wear of the coat-ing for four canonical forms of stamps were studied and analyzed

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Section: ключові слова: контактна взаємодія інтегро-диференціальні рі...unclassified

Simulation of the Wear Process of a Thin Coating of an Elastic Semi-Plane by Stamps of the Canonical Form

Sachuk¹,

Sachuk²

2022

mcm-math

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“…Vanini et al. [13] analysed the two‐dimensional nonlinear partial slip contact problem between a graded HP normal to the contact interface and a rigid flat punch subject to a normal load. Balci and Dag [14] developed an analytical method to investigate the dynamic frictional contact mechanics between an FG coating and a rigid moving cylindrical punch.…”

Section: Introductionmentioning

confidence: 99%

On the plane receding contact between two functionally graded layers using computational, finite element and artificial neural network methods

et al. 2022

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The frictionless double receding contact problem for two functionally graded (FG) layers pressed by a uniformly distributed load is addressed in this paper. The gradation in the layers is assumed to follow an exponential variation through the height with constant Poisson's ratios. The lower layer rests on a homogeneous half‐plane (HP). There is no adhesion between the FG layers or between the lower layer and the HP. The body forces of the FG layers and HP are ignored. First, the governing equations are reduced to a system of two singular integral equations with contact pressures and contact lengths as unknowns using Fourier transform techniques and boundary conditions. The integral equations are solved numerically using the Gauss‐Chebyshev integration formula. Then, a parametric finite element analysis is performed using the augmented contact method. Finally, the problem was extended based on the multilayer perceptron (MLP), an artificial neural network used for different problem parameters. The effects of stiffness parameters, the normalized load length, the ratio of shear moduli, the ratio of FG layer heights to the normalized contact lengths, and normalized maximum contact pressures are explored. The results of finite element analysis and the MLP approach are used to validate the normalized maximum contact pressures and contact lengths obtained from an analytical method based on elasticity theory, and finally, good agreement between these three methods results is obtained. The obtained results could help in designing multibody indentation systems with FGMs.

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“…These problems become especially urgent in connection with the intense introduction of units with contact interaction of thin-walled structural elements into the contemporary engineering practice. In this case, contact problems differ from the classical contact problems of the theory of elasticity [6,8,41,43,54,62,65] and their solution requires the application of different mathematical methods [11,20,64,73,77,80,81]. By using different versions of the theory of plates and shells, one can significantly simplify the mathematical model of the problems of contact interaction and wear and, at the same time, take into account the anisotropy of physicomechanical and thermal characteristics of contacting bodies (typical of new modern antifriction composite materials) and the presence of thin protective coatings [9,47,61,70,71,75].…”

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confidence: 99%

Specific Features of the Contact Interaction and Wear of Thin-Walled Structural Elements

Maksymuk

2023

J Math Sci

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We consider contact problems for thin-walled structural elements and their wear. We propose a unified method for solving the problems based on the reduction to Volterra integral equations. This enables us to detect singularities of solutions depending on the hypotheses characterizing the process of deformation of thin-walled elements. We present the solutions and analyze the problems of wear of the plates by a rigid punch and a hot punch with regard for the friction heating and changes in the thickness of the plate in the process of wear.

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Numerical investigation of sliding frictional contact in functionally graded steels (FGS)

Cited by 4 publications

References 13 publications

Simulation of the Wear Process of a Thin Coating of an Elastic Semi-Plane by Stamps of the Canonical Form

Simulation of the Wear Process of a Thin Coating of an Elastic Semi-Plane by Stamps of the Canonical Form

On the plane receding contact between two functionally graded layers using computational, finite element and artificial neural network methods

Specific Features of the Contact Interaction and Wear of Thin-Walled Structural Elements

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