•Journal•ISSN: 0079-3701
Journal of Theoretical and Applied Mechanics
Exeley Inc
About: Journal of Theoretical and Applied Mechanics is an academic journal published by Exeley Inc. The journal publishes majorly in the area(s): Finite element method & Vibration. It has an ISSN identifier of 0079-3701. It is also open access. Over the lifetime, 2160 publications have been published receiving 15389 citations. The journal is also known as: Teoretičeskaâ i Prikladnaâ Mechanika & Theoretical and Applied Mechanics.
Topics: Finite element method, Vibration, Nonlinear system, Boundary value problem, Beam (structure)
Papers published on a yearly basis
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TL;DR: In this article, a straight beam of a rectangular cross-section pivoted at both ends and loaded with a lengthwise compressive force is considered, where the modulus of elasticity is minimal on the beam axis and assumes maximum values at its top and bottom surfaces.
Abstract: The work deals with the problem a straight beam of a rectangular cross-section pivoted at both ends and loaded with a lengthwise compressive force. The beam is made of an isotropic porous material. Its properties vary through thickness of the beam. The modulus of elasticity is minimal on the beam axis and assumes maximum values at its top and bottom surfaces. The principle of stationarity of the total potential energy enables one to define a system of differential equations that govern the beam stability. The system is analytically solved, which leads to an explicit expression for the critical load of the compressed beam. Results of the solution are verified on an example beam by means of the Finite Element Method (COSMOS).
122 citations
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TL;DR: In this paper, constitutive equations of anisotropic wear are extensions of the Archard law of wear, describing abrasion of materials with micro-structures, and the gap between contacting bodies takes into account deformations of bodies and evolutions of wear profiles.
Abstract: Wear is a process of gradual removal of a material from surfaces of solids subject to contact and sliding Damages of contact surfaces are results of wear They can have various patterns (abrasion, fatigue, ploughing, corrugation, erosion and cavitation) The results of abrasive wear are identified as irreversible changes in body contours and as evolutions of gaps between contacting solids The wear depth profile of a surface is a useful measure of the removed material The definition of the gap between contacting bodies takes into account deformations of bodies and evolutions of wear profiles The wear depth can be estimated with the aid of wear laws Derived in this study, constitutive equations of anisotropic wear are extensions of the Archard law of wear The equations describe abrasion of materials with microstructures The illustrative example demonstrates calculations of the abraded mass and temperatures in pin-on-disc test rig
121 citations
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TL;DR: Two high resolution schemes are used for discretization of the nonlinear convective term in the equation for transport of the volume fraction using the Volume of Fluid method.
Abstract: The paper concerns the modelling of a flow with high density and viscosity ratios using the Volume of Fluid method (VOF). Two high resolution schemes are used for discretization of the nonlinear convective term in the equation for transport of the volume fraction. Properties of the schemes are compared by taking into consideration their ability to capture the interface subjected to strong deformation. We show that diffusive properties of the high-resolution schemes affect the obtained solution. Verification of the schemes is performed in two test cases: rotation of a solid body with a slot and sloshing of water in a rectangular tank.
93 citations
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TL;DR: In this article, an approach to the dynamics of the energy collection system based on the finite elements method, for the catenary, and on multibody dynamics methods for the pantograph, integrated via a co-simulation procedure is proposed.
Abstract: The quality of the current collection of high-speed trains is dependent on the compatibility of the catenary and pantograph dynamics and on its implications on the contact force. The design and analysis of these systems using proper computational procedures allows capturing all the relevant features of their dynamic behavior. This work proposes an approach to the dynamics of the energy collection system based on the finite elements method, for the catenary, and on multibody dynamics methods, for the pantograph, integrated via a co-simulation procedure. A contact model based on a penalty formulation is selected to represent the pantograph-catenary interaction. The methodology is applied to the study of high speed train operations with multiple pantographs, as this environment constitutes one of the limiting scenarios for the increase of the operation speed.
83 citations
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TL;DR: In this paper, the authors used the double population thermal lattice Boltzmann method (LBM) at different values of the Richardson number, inclination angle and the Prandtl number to investigate the laminar mixed convection in a two-dimensional rectangular inclined cavity with moving top lid.
Abstract: The laminar mixed convection in a two-dimensional rectangular inclined cavity with moving top lid is investigated using the double population thermal lattice Boltzmann method (LBM) at different values of the Richardson number, inclination angle and the Prandtl number. In this problem, velocity components are changed by both buoyancy forces and the inclination angle of the cavity. Comparison of the present results with other available data shows good agreement. As the results, the velocity and temperature profiles, the Nusselt number, streamlines and isotherms are presented and discussed. It is shown that the increase of Prandtl number enhances the heat transfer rate, especially at higher values of inclination angle and Richardson number. Moreover, the average Nusselt number at the upper limit of the considered range of the Richardson and Prandtl numbers variability increases by a factor of 9.
81 citations