Implementation of contact interaction in a finite-element formulation

Abstract

The paper presents a technique which makes it possible to take into account contact interactions between surfaces based on the finite element method. The technique is based on iterative cycles, determining statuses of the contact elements and renewing the contact forces to satisfy the condition of zero penetration of all active contact elements. The proposed technique allows us also to take account of friction between the contacting elements. The paper considers an example of implementing contact interaction with regard to friction between bodies, and solves a model problem. 7890 O. A. Sachenkov et al.

Численное Исследование Влияния Степени Недопокрытия Вертлужного Компонента На Несущую Способность Эндопротеза Тазобедренного Сустава

“…Для оценки напряженно-деформированного состояния костной ткани важно учитывать контактное взаимодействие между имплантатом и костью, существуют различные подходы для реализации контактного взаимодействия [3,6,7,12,27], за основу был взят метод из работ [3,27], в котором для реализации контактного взаимодействия используются следующие соотношения: кинематические уравнения, условия контактного взаимодействия, уравнение статического равновесия.…”

Modeling of Hydraulic Fracturing on the Basis of the Particle Method

“…At present, most of the computational methods are based on the discretization of the domain, and most often finite element and finite difference methods are used [1][2][3][4][5][6][7][8][9][10][11][12]. Such an approach has perfectly proved itself in solving problems of deformation of complex heterogeneous media of various natures.…”

Investigation of stress-strain state in the flywheel and estimation their specific energy capacity

“…In a number of works kinetic energy storage devices made of rubber-like materials are proposed, for the calculation of which special methods are proposed [10][11][12][13][14]. The calculation of superflywheels, made by winding threads or tapes, presupposes methods for their contact interaction [15][16][17][18][19][20][21][22].…”