Трёхмерная контактная задача для двухслойного дополнительно нагруженного упругого основания

теория упругости контактные задачи двухслойное упругое основание нелинейные граничные интегральные уравнения метод Галанова.

Уточнение расчёта акустических экранов, устанавливаемых в производственном помещении, Исследование поперечных смещений трубной заготовки в процессе её механической обработки на основе компьютерного моделирования, ...

L. A. Galin was probably the first who has considered the contact problem for a half-space with an additional concentrated force applied outside the contact area [1]. <...> A similar contact problem for a two-layered elastic base was investigated earlier [2] without additional force. <...> The Galanov’s method used below to take the additional concentrated force into account allows us to estimate the influence of the extra force onto the contact pressure as well as onto the force applied of the punch. <...> This problem is of interest for the contact mechanics of the bodies with coverings. <...> Consider the contact problem of the indentation of a punch into an elastic layer of the thickness The shape of the punch foot is described by the function and half-space are 1, ν1 and of an elliptic paraboloid, i. e. The force that an additional normal concentrated force Ω 0 1 4 2 ξ,η , 1 2 2 2 2 2 . is applied to the punch so that the punch penetrates without rotation by a depth δ. <...> Let the contact area be a priori included into the rectangle , , , 2 1 , 2 2 , To calculate the function integral 0 The elastic materials chosen for calculations and their elastic parameters (Young's modulus son's ratio ν) are presented in Table 1. <...> The dimensionless parameter λ characterizes the relative thickness of the elastic layer. ( ) in formula (2) one should extract its principal term by using the , . 2 1 κ 2 , θ 1 ν Here, Ω is an unknown contact area. <...> As the force contact area), the force and the pressure increases and also as the value of and the pressure will drop because of the force 0 are greater than those and the pressure drop because the top steel layer decreases (the force goes to the input becomes significant. <...> Alexandrov, V. M., Kalker, J. J., Pozharskiy, D. A. Three-dimensional contact problem for a twolayered elastic base with an unknown contact area. <...> Alexandrov, V. M., Kalker, J. J., Pozharskiy, D. A. Three-dimensional contact problem for a twolayered elastic base with an unknown contact area. <...> Трёхмерная контактная задача для двухслойного дополнительно нагруженного упругого основания* Д. <...> Исследуется трёхмерная контактная задача (типа задачи Галина) для двухслойного упругого основания (слой полностью сцеплен с полупространством из другого материала) при действии <...>

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