Handbook of Contact Mechanics

Popov, Valentin L.; Heß, Markus; Willert, Emanuel

doi:10.1007/978-3-662-58709-6

Cited by 129 publications

(130 citation statements)

References 95 publications

(153 reference statements)

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“…A flat punch can either completely slip or completely stick (Popov et al, 2019). The solutions for the case of complete stick, are given by the substitution…”

Section: Tangential Contact In the Cattaneo-mindlin Approximationmentioning

confidence: 99%

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Stress Tensor and Gradient of Hydrostatic Pressure in the Half-Space Beneath Axisymmetric Bodies in Normal and Tangential Contact

Forsbach

2020

Front. Mech. Eng.

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The stress state in the volume of contacting bodies may essentially influence the material behavior. For evaluating various modes of inelastic behavior and/or failure, such as plastic deformation, crack initiation, and propagation or fatigue, the complete stress tensor beneath the contact interface may be of importance. For many geotechnical and biomechanical applications, the hydrostatic pressure gradient beneath the contact is of interest as well. However, most theories for normal and tangential contact provide only few stress components in the contact surface. In the present paper, we show that the full stress state in the half-space can be easily found for axisymmetric bodies. We provide expressions in form of one-dimensional integrals for all components of the stress tensor and the hydrostatic pressure gradient inside the half-space. In terms of numerical complexity, the proposed method can be advantageous to other elaborate methods.

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“…A flat punch can either completely slip or completely stick (Popov et al, 2019). The solutions for the case of complete stick, are given by the substitution…”

Section: Tangential Contact In the Cattaneo-mindlin Approximationmentioning

confidence: 99%

“…In the case of arbitrary loading histories, the solution is simply a finite number of superpositions in the form of Equation (21). Most conveniently, this can be modeled as one-dimensional tangential spring deflections u x,1D in the framework of MDR (see (Popov et al, 2019) for details), yielding…”

Section: Tangential Contact In the Cattaneo-mindlin Approximationmentioning

confidence: 99%

Stress Tensor and Gradient of Hydrostatic Pressure in the Half-Space Beneath Axisymmetric Bodies in Normal and Tangential Contact

Forsbach

2020

Front. Mech. Eng.

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“…Рассмотрим контакт аксиально-симметричного жесткого индентора и упругого полупространства с модулем упругости E и коэффициентом Пуассона ν. Аксиальная симметрия позволяет использовать для решения контактной задачи метод редукции размерности (MDR) [6]. В этом методе трехмерный профиль индентора f (r) замещается его одномерным эквивалентом g(x) согласно правилу (рис.…”

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“…. При наличии адгезии пружины на границе контакта подтягиваются к индентору, увеличивая радиус контакта a, который определяется по правилу Гесса [6]:…”

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Диссипация Механической Энергии В Осциллирующем Адгезионном Контакте Между Жестким Индентором И Эластомером

Ляшенко¹,

Попов²

2020

Письма В Журнал Технической Физики

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A model of hysteresis in an adhesive contact under oscillating loading is proposed, based on the chemical inhomogeneity of the indenter surface. Results of numerical simulation are compared with experimental data obtained with a setup allowing direct observation of the dynamics of contact area. It is shown that the hysteresis almost disappears if the amplitude of the oscillating load is smaller than a critical value depending on the maximum indentation depth.

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Analytical Model of Micropyramidal Capacitive Pressure Sensors and Machine‐Learning‐Assisted Design

Qin

et al. 2021

Adv Materials Technologies

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Flexible micro‐pyramidal capacitive pressure sensors provide a high‐level tunability, showing fascinating implications in various applications, such as advanced healthcare, protheses, and smart robots. In this work, analytical models for capacitive pressure sensors are reported based on micro‐pyramidal electrodes and dielectrics, which are confirmed by both finite element simulations and existing experimental results. The proposed models can be used to predict the pressure response in a wide dynamic range, which enables to efficiently analyze the pressure range, linearity, and multiple regimes of sensitivity for designing devices. Moreover, neural networks are introduced to approximate the pressure responses, and, in turn, to inversely design the parameters of the pressure sensors with a desired pressure response. The machine‐learning‐assisted design is able to find multiple designed parameters for the customization purpose, manifesting itself a powerful approach to customize the sensor performance.

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Handbook of Contact Mechanics

Cited by 129 publications

References 95 publications

Stress Tensor and Gradient of Hydrostatic Pressure in the Half-Space Beneath Axisymmetric Bodies in Normal and Tangential Contact

Stress Tensor and Gradient of Hydrostatic Pressure in the Half-Space Beneath Axisymmetric Bodies in Normal and Tangential Contact

Диссипация Механической Энергии В Осциллирующем Адгезионном Контакте Между Жестким Индентором И Эластомером

Analytical Model of Micropyramidal Capacitive Pressure Sensors and Machine‐Learning‐Assisted Design

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