Contact Problem for a Rigid Punch and an Elastic Half Space as an Inverse Problem

Ободан, Н. І.; Zaitseva, T. A.; Фридман, О. Д.

doi:10.1007/s10958-019-04346-2

Cited by 3 publications

(9 citation statements)

References 2 publications

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“…In a general form, the problem of determining the contour of the cross section of the punch interacting with the elastic half-space is stated [20,23,24]. With the help of the free software system CLIPS, (C Language Integrated Production System) (USA) [25], an expert system is built to automate the search for the most suitable punch form.…”

Section: The Study Materials and Methodsmentioning

confidence: 99%

“…The method of solving inverse problems was proposed by the authors of [19], in which the problem of shell theory in the variational statement was considered. This method was developed in [20], in which the authors solved the contact problem as an inverse one. The authors obtained a solution to the contact problem of pressing a punch into an elastic half-space, taking into account friction, in the presence of adhesion, separation, and sliding zones.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

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Construction of mathematical and computer models for calculating contact characteristics of interaction between a rigid punch and an elastic half-space

Zaytseva,

Zhushman

2024

EEJET

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The subject of this study is a punch-elastic half-space system under compressive force. The paper solves the problem of determining contact stresses and displacements. The content of results is the constructed models and the assessment of their adequacy. This work considers the problem of pressing a rigid plane double-connected punch on a homogeneous and isotropic elastic half-space. To obtain an analytical solution, a variant of the perturbation method based on the expansion of the potential of a simple layer distributed over a double-connected region by a small parameter was applied. The problem of pressing a flat punch in the form of a non-circular ring is reduced to a sequence of problems for a punch in the form of a circular ring. This allows us to use a known solution for a circular ring. Finite element models were built using ANSYS. A group of models was constructed to take into account possible damage in the event that the punch-elastic half-space system is exposed to difficult natural conditions or an aggressive environment during a certain time of modeling. A database was formed for the purpose of further transferring it to CLIPS. Sets of rules and knowledge were compiled. A generalizing algorithm was developed for the problems of constructing and analyzing mathematical and computer models of contact interaction between a rigid cylindrical punch with a flat double-connected base with an elastic half-space under the action of a compressive force. The problem of determining the geometric shape of the cross-section of an annular punch in the plan for the punch-elastic half-space system was solved for the case when the contact zone is not known in advance. The devised approach could be employed in engineering calculations for strength and durability

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Section: The Study Materials and Methodsmentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Construction of mathematical and computer models for calculating contact characteristics of interaction between a rigid punch and an elastic half-space

Zaytseva,

Zhushman

2024

EEJET

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“…The results of an aluminum (half cylinder) in contact with tungsten plate during the elastic stage were investigated [27]. Three values of force were used in this study (0.1kN, 0.2 kN and 0.3 kN).…”

Section: Numerical Model Validationmentioning

confidence: 99%

“…However, the stresses of the contact may lead to plastic deformation. Several researchers studied the problem of the mechanical contact between two bodies in the elastic phase [23][24][25][26][27][28]. Due to the nonlinearity of the material behavior with plastic deformations, the experimental methods and the numerical calculations are used to determine the material deformation.…”

Section: Introductionmentioning

confidence: 99%

Thermo elasto-plastic contact analyzis for high temperature applications

et al. 2022

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This study presents the development of a thermo-mechanical simulation model for an elastic-plastic contact problem between a half cylinder and a plane plate. The set of equations was solved using direct coupling method by Ansys mechanical. The results obtained from the present numerical model of the structural contact without heat transfer are compared with those of analytical, experimental and other numerical models. Then, the contact problem was solved using a coupled thermo-mechanical model. Computational results showed significant effects of thermal consideration in the elastic-plastic contact problem. Large deformations of structure due to high temperature are predicted using the thermo-mechanical model with elastic-plastic deformations. This model is useful to predict deformations on the structural components due to contact at high temperature situation.

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“…Therefore, a surface with microgeometry around the pitch line of the gear can be constructed by superimposing the rough surface generated by the fractal method on the surface with a radial gear profile equivalent to the profile of the pitch point. The contact stress can then be computed based on previously reported models of rough contact using the conjugate gradient method [20][21][22]. For the two types of gears with different machining processes, the contact-stress distribution around the pitch line using the equivalent model is shown in Figure 6.…”

Section: Contact Stress Of the Gear Surface Considering Microgeometrymentioning

confidence: 99%

Influence of the Machining Process on the Service Life and Pitting Morphology of Gear-Tooth Surfaces

Huang

Gao³

et al. 2022

Metals

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Pitting, which results from contact fatigue, is a common failure mode in gear transmission systems and is influenced by the material strength and stress state of the contact area, which is further influenced by lubrication and roughness because of stress fluctuations. In this study, a comparative contact-fatigue test was conducted on two types of gears with different terminal machining processes. The contact stress of the tooth surface considering the microtopography was analyzed using the fractal method based on surface microtopography data measured from the surface formed by the two processes. Test results show that the average service life of gears machined using the barrel-finishing process was approximately 5–7 times that of gears machined using grinding. The pitting morphologies of gears fabricated using different processes exhibited evident differences. The maximum stress level of the gears machined with barrel finishing was approximately twice that of the gears machined through grinding. Different stress levels resulted in different micropitting load-bearing capacities, which could be attributed to the different service lives of gears manufactured through different machining processes. The different presence features of the pitting morphology were due to the different micromorphologies of the surface formed by the different finishing processes. In particular, the randomly distributed pitting morphology of the gear surface machined using the barrel-finishing process was due to its flattening and polishing effect. Optimization of the surface-microgeometry distribution via the finishing process is an effective method for prolonging the service life of gears.

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Contact Problem for a Rigid Punch and an Elastic Half Space as an Inverse Problem

Cited by 3 publications

References 2 publications

Construction of mathematical and computer models for calculating contact characteristics of interaction between a rigid punch and an elastic half-space

Construction of mathematical and computer models for calculating contact characteristics of interaction between a rigid punch and an elastic half-space

Thermo elasto-plastic contact analyzis for high temperature applications

Influence of the Machining Process on the Service Life and Pitting Morphology of Gear-Tooth Surfaces

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