Modeling of volumetric damage of multielement clamp‐knife‐base tribo‐fatigue system

Журавков, М. А.; Sherbakov, Sergei; Круподеров, А. В.

doi:10.1002/zamm.201500294

Cited by 6 publications

(5 citation statements)

References 25 publications

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“…In this connection, the newly introduced functions of matrix arguments together with their properties presented here and the other uninvestigated ones (if any) are hoped and believed to have potential applications to various research subjects including the above-mentioned ones. For example, in addition to Section 5, it seems possible for the extended gamma and beta functions to be relevantly employed to make the multivariate statistical analysis of damage of tribo-fatigue and mechanothermodynamic systems (see, e.g., [32][33][34][35][36][37]). Certain applications to other research subjects and investigation of more properties of these newly introduced functions are left to the authors and the interested researchers for future study.…”

Section: Discussionmentioning

confidence: 99%

Extended k-Gamma and k-Beta Functions of Matrix Arguments

2020

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Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented and studied. In this paper, we aim to introduce an extended k-gamma function of a matrix argument and an extended k-beta function of matrix arguments and investigate some of their properties such as functional relations, inequality, integral formula, and integral representations. Also an application of the extended k-beta function of matrix arguments to statistics is considered.

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Section: Discussionmentioning

confidence: 99%

Extended k-Gamma and k-Beta Functions of Matrix Arguments

2020

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“…Finally, the damage is related to the discontinuity and integrity of a solid up to its decomposition e.g., into atoms (see Table 1) [46,47]. Thus, the damageability is treated as a fundamental property (and duty) of moving and deformable systems [4,[45][46][47], and the failure is considered as a specific type of damage, i.e., the corresponding discontinuity and integrity of objects including the ones of great practical importance [46][47][48][49][50][51][52].…”

Section: Tribo-fatigue Entropymentioning

confidence: 99%

A Model of Mechanothermodynamic Entropy in Tribology

Sosnovskiy

Sherbakov

2017

Entropy

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A brief analysis of entropy concepts in continuum mechanics and thermodynamics is presented. The methods of accounting for friction, wear and fatigue processes in the calculation of the thermodynamic entropy are described. It is shown that these and other damage processes of solids are more adequately described by tribo-fatigue entropy. It was established that mechanothermodynamic entropy calculated as the sum of interacting thermodynamic and tribo-fatigue entropy components has the most general character. Examples of usage (application) of tribo-fatigue and mechanothermodynamic entropies for practical analysis of wear and fatigue processes are given.Keywords: entropy; mechanothermodynamics; tribo-fatigue; tribology; fatigue; damage Thermodynamic EntropyThe following functions are used to describe the state of thermodynamic systems [1]:where temperature T, volume V, and number of moles of chemical components N k are the macroscopic state variables. In the general case of an open system, the change dU of internal energy U is presented [1] as:where dQ is the amount of heat; dA is the amount of mechanical energy; dU sub is the amount of substance, which the system exchanged with the environment for a time interval dt; p is the pressure; the µ k 's are the chemical potentials. Planck especially emphasized that dU in Equation (2) is an infinitely small difference, whereas dQ, dA, and dU sub are the infinitely small amounts. It follows from (2) that entropy S change in a thermodynamic system (subscript T) is: Abstract: A brief analysis of entropy concepts in continuum mechanics and thermodynamics is presented. The methods of accounting for friction, wear and fatigue processes in the calculation of the thermodynamic entropy are described. It is shown that these and other damage processes of solids are more adequately described by tribo-fatigue entropy. It was established that mechanothermodynamic entropy calculated as the sum of interacting thermodynamic and tribofatigue entropy components has the most general character. Examples of usage (application) of tribo-fatigue and mechanothermodynamic entropies for practical analysis of wear and fatigue processes are given.

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“…This material of (patent of the Republic of Belarus №15617) is based on austempered ductile iron but has high strength (up to 1500 MPa) and plastic (elongation up to 5 %) characteristics [6]. The use of this new material for the manufacturing of rails requires solving the problem of assessing the stress-strain state of the wheel-rail system, taking into account both the contact interaction between the wheel and the rail and rail bending under the weight of the whole train [7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Comparison of Stress-Strain States of Rail-Wheel Pair Made of Steel and MoNiCa

Sherbakov

Bahdanovich

Nasan

et al. 2021

SSP

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Contact interaction in a wheel-rail pair and its corresponding stress-strain state for various combinations of materials of this pair and the weights of passenger and freight cars were considered. The materials under study were steel and high-strength cast iron based structural material MoNiCa with strength and wear-fatigue characteristics close to steel ones.The load on each wheel was: 53.9 and 294.3 kN for an empty and loaded freight car, 146.8 kN and 230.5 kN for an empty and loaded passenger car. The bottom surface of the rail was rigidly fixed.Young's modules were adopted as follows: 200 GPa for steel and 165 for MoNiCa. The results of finite element calculations of the three-dimensional stress-strain state showed that the largest von Mises stresses of 613.08 MPa occur in the wheel (steel)-rail (steel) pair of the loaded freight car. For all types of loading, the lowest stresses (15.8 % – 16.7 % less than in the steel-steel pair) are observed in the wheel (MoNiCa)-rail (MoNiCa) pair. This indicates the appropriateness of using MoNiCa for the manufacturing elements of the wheel-rail system.

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Modeling of volumetric damage of multielement clamp‐knife‐base tribo‐fatigue system

Cited by 6 publications

References 25 publications

Extended k-Gamma and k-Beta Functions of Matrix Arguments

Extended k-Gamma and k-Beta Functions of Matrix Arguments

A Model of Mechanothermodynamic Entropy in Tribology

Comparison of Stress-Strain States of Rail-Wheel Pair Made of Steel and MoNiCa

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