A solution method for general contact–impact problems

Farahani, K.; Mofid, Massood; Vafai, A.

doi:10.1016/s0045-7825(99)00110-3

Cited by 19 publications

(15 citation statements)

References 12 publications

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“…It only has tangential motion along the A-B-C-D surface. By the method of eliminating point P freedom, two units are made together, as shown in Formula 2 [7][8].…”

Section: Coulomb Bilinear Models On Contact Analysismentioning

confidence: 99%

Simulation analysis of prestressed tensioning whole processon direct constraint method

Liu¹

2017

Funct.Mater.

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The accuracy simulation of the prestressed tensioning effect is the foundation of prestressed bridge design, construction and reinforcement. Direct constraint method was used in the application of prestressed tensioning whole process simulation analysis on the background of prestressed testing experiment. Its aim was to achieve the real simulation of interaction between prestressed tendon and concrete in the tensioning whole process. Three-dimensional solid elements were adopted to simulate pre-stressed reinforcement unit and concrete unit. Bilinear Coulomb friction was adopted as the friction form between prestressed tendon and concrete. Direct constraint method that has the characteristics of good stability and fast convergence speed was used to calculate the effective stress of prestressed tendon at each tension stage. The loss of one-way stress was also calculated. The effective prestressed values by simulation on direct constraints method can be well with the measured values and the theoretical values on Code for Design of Highway Reinforced Concrete and Prestressed Concrete Bridges and Culverts. The method has theoretical basis on accurately simulating the actual stress in different stages of the prestressed tendon. It can be helpful for bridge design and reinforcement.Keywords-Direct constraint method; Finite element simulation; Tensioning whole process; Effective prestress; Prestressed tendon Методом прямого ограничения проведено моделирование процесса предварительного натяжения на основании экспериментов по тестированию предварительного напряженных систем. В качестве модельного объекта рассмотрено взаимодействие между предварительно напряженой арматурой и бетоном. Для имитации армирующих блоков и блоков бетона был адаптирован трехмерный метод упругого твердого тела. В качестве модели, описывающей силы трения, возникающие между предварительно напряженной арматурой и бетоном, рассматривается модель кулоновского трения. Для вычисления эффективных напряжений армирующей матрицы на разных этапах натяжения был использован метод прямого ограничения, обладающий хорошей стабильностью и высокой скоростью сходимости. Показано, что значения эффективных преднапряжений, полученные путем моделирования методом прямого ограничения, находятся в качественном согласии с экспериментальными и теоретическими значениями.Моделювання натягу в попередньо напружених системах. Каймінь Лю. Методом прямого обмеження проведено моделювання процесу попереднього натягнення на підставі експериментів по тестуванню попередньо напружених систем. В якості модельного об'єкту розглянуто взаємодію між переднапруженою арматурою і бетоном. Для імітації блоків, що армують та блоків бетону був адаптований тривимірний метод пружного твердого тіла. В якості моделі, яка описує сили тертя, що виникають між попередньо напруженою арматурою і бетоном, розглядається модель кулоновського тертя. Для обчислення ефективних напружень матриці, що армує, на різних етапах натягу був використаний метод прямого обмеження, що володіє гарною стабільністю та високою швид...

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“…It only has tangential motion along the A-B-C-D surface. By the method of eliminating point P freedom, two units are made together, as shown in Formula 2 [7][8].…”

Section: Coulomb Bilinear Models On Contact Analysismentioning

confidence: 99%

Simulation analysis of prestressed tensioning whole processon direct constraint method

Liu¹

2017

Funct.Mater.

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“…They can be solved by numerical time integration procedures (Bathe and Bouzinov, 1997;Farahani et al, 2000;Heinstein et al, 2000).…”

Section: Mathematical Formulationmentioning

confidence: 99%

Seismic stability of a standalone glove box structure

Saraswat

Reddy

Ghosh

et al. 2014

Nuclear Engineering and Design

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“…Farahani et al . tried to reduce the increased Degree of Freedoms (DOFs) through transformation of stiffness matrix in contact problems. Jean resolved the difficulty of the nonlinearity in frictional contact problems with implicit time integration.…”

Section: Introductionmentioning

confidence: 99%

Impact analysis of arbitrarily‐shaped bodies using a finite element method and a smoothed particle hydrodynamics method

Tak

Park

2016

Numerical Meth Engineering

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Summary We propose a new method to obtain contact forces under a non‐smoothed contact problem between arbitrarily‐shaped bodies which are discretized by finite element method. Contact forces are calculated by the specific contact algorithm between two particles of smoothed particle hydrodynamics, which is a meshfree method, and that are applied to each colliding body. This approach has advantages that accurate contact forces can be obtained within an accelerated collision without a jump problem in a discrete time increment. Also, this can be simply applied into any contact problems like a point‐to‐point, a point‐to‐line, and a point‐to‐surface contact for complex shaped and deformable bodies. In order to describe this method, an impulse based method, a unilateral contact method and smoothed particle hydrodynamics method are firstly introduced in this paper. Then, a procedure about the proposed method is handled in great detail. Finally, accuracy of the proposed method is verified by a conservation of momentum through three contact examples. Copyright © 2016 John Wiley & Sons, Ltd.

show abstract

A solution method for general contact–impact problems

Cited by 19 publications

References 12 publications

Simulation analysis of prestressed tensioning whole processon direct constraint method

Simulation analysis of prestressed tensioning whole processon direct constraint method

Seismic stability of a standalone glove box structure

Impact analysis of arbitrarily‐shaped bodies using a finite element method and a smoothed particle hydrodynamics method

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