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The position code algorithm for contact searching

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TLDR
A new global search method for general contact systems is developed and implemented in the DYNA3D program, along with a recent contact interface algorithm, and the concept of «position codes» for efficient global contact searching is presented.
Abstract
A new global search method for general contact systems is developed and implemented in the DYNA3D program, along with a recent contact interface algorithm. The concept of «position codes» for efficient global contact searching is presented. With the position code algorithm, the problem of sorting and searching in three dimensions is transformed to a process of sorting and searching within a one-dimensional array. The cost of contact searching is of the order of N log 2 N, where N is the number of nodes in the system. The proposed algorithms are uncomplicated and the implementation into any finite element code is straightforward

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Citations
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Journal ArticleDOI

NBS contact detection algorithm for bodies of similar size

TL;DR: The proposed contact detection algorithm involves no binary search at any stage, and the performance of the algorithm in terms of total detection time is not influenced by packing density, while memory requirements are insignificant.
Journal ArticleDOI

Penalty function method for combined finite–discrete element systems comprising large number of separate bodies

TL;DR: In this work, a contact algorithm based on the penalty function method and incorporating contact kinematics preserving energy balance, is proposed and implemented into the combined finite element code.
Journal ArticleDOI

Modelling and Simulation of Machining Processes

TL;DR: In this paper, the authors present a review of the numerical strategies used for metal cutting and a short discussion of their relative merits and drawbacks, and illustrate what numerical techniques, models and pertinent parameters are needed for successful simulations.
Journal ArticleDOI

The inside–outside contact search algorithm for finite element analysis

TL;DR: A new contact search algorithm for the sheet forming simulation has been developed and implemented in the dynamic explicit FE code: ‘DYNAMIC’ and the numerical results show that the new contact searching algorithm is more cost effective and robust than conventional ones.
Journal ArticleDOI

A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations

TL;DR: This paper presents a new contact searching algorithm for large deformation mortar-based contact formulations that is shown to be very efficient and readily applicable to a variety of large sliding contact problems.
References
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Book

Finite element procedures in engineering analysis

TL;DR: Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08.

Sliding interfaces with contact-impact in large scale lagurangian computation

TL;DR: The penalty methods are used to obtain solutions to almost all of the structural problems but it is found that the hydrocode approach is vastly superior if pressures greatly exceed the yield strength.
Journal ArticleDOI

Sliding interfaces with contact-impact in large-scale Lagrangian computations

TL;DR: The two-and three-dimensional contact algorithms used in the finite element programs developed at the Lawrence Livermore National Laboratory are described in this article, where the penalty methods are used to obtain solutions to almost all of the structural problems.
Journal ArticleDOI

A single surface contact algorithm for the post-buckling analysis of shell structures

TL;DR: A contact algorithm that requires only a single surface definition for its input and can be used to define master and slave contact surfaces of a structure.
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