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contact algorithms FOR contact DYNAMICAL SYSTEMS

Journal of Computational Mathematics 1998年第1期16卷 1-14页

作者： Kang Feng 中科院计算数学与科学工程计算所北京

In this paper, we develop a general way to construct contact algorithms for contact dynamical systems. Such an algorithm requires the corresponding step transition map preserve the contact structure of the underlying contact phase space. The constructions are based on the correspondence between the contact geometry of R2n+1 and the conic symplectic one of R2n+2 and therefore, the algorithms are derived naturally from the symplectic algorithms of Hamiltonian systems.

关键词： contact algorithms contact systems conic symplectic geometry generating functions

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EXTERNAL PENALIZED MIXED FUNCTIONAL algorithms FOR UNILATERAL contact AND FRICTION IN A LARGE-STRAIN FINITE-ELEMENT FRAMEWORK

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ENGINEERING COMPUTATIONS 1995年第4期12卷 307-331页

作者： LOCHEGNIES, D OUDIN, J Laboratoire de Génie Mécanique Unité de recherches Associée au CNRS MECAMAT Université de Valenciennes et du Hainaut—Cambrésis BP 311 59304 Valenciennes Cedex France Laboratoire de Génie Mécanique Unité de recherches Associée au CNRS MECAMAT Université de Valenciennes et du Hainaut—Cambrésis BP 311 59304 Valenciennes Cedex France

New contact boundary modelling is achieved with a basic set of 2 and 3 dimension contact primitives. contact constraints are originally introduced in the variational equations and associated Newton-Raphson scheme via an external penalty formulation using primitive equations. Consequently, penalty part of external load vector and tangent stiffness matrices are developed for all contact primitives. In this way, contact prescribed boundary displacements are also taken into account. contact treatment is then completed with Newton-Raphson elements for elastic and plastic regularized friction constitutive models. In this paper, the process is extended to elastoplastic models. Finally, we propose a self acting procedure with contact algorithms (interiority, sliding and contact loss) and related subroutines for implementation in finite element framework. We illustrate these developments by means of two-dimensional open die forging and three-dimensional plate coining typical benchmarks with reference to bulk elastoplastic and viscoplastic constitutive models.

关键词： UNILATERAL contact FRICTION LARGE STRAIN EXTERNAL PENALTY TANGENT OPERATOR FINITE ELEMENT contact algorithms

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Some considerations for 3D EFP computations

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INTERNATIONAL JOURNAL OF IMPACT ENGINEERING 2006年第10期32卷 1621-1634页

作者： Johnson, GR Stryk, RA Network Comp Serv Inc Minneapolis MN 55415 USA

This article identifies some issues, options and results associated with 3D Explosively Formed Penetrator (EFP) computations. The three broad categories of interest (for Lagrangian computations) are the sliding/contact interfaces, the type and arrangement of elements, and the generation of the grid. The sliding/contact algorithm uses a virtual particle approach that is very robust, and it is described in detail. Tetrahedral elements are considered for both symmetric and non-symmetric arrangement, each with some advantages and disadvantages. A mixed element algorithm is also considered for the non-symmetric arrangement, in an effort to eliminate some of the locking that occurs for the non-symmetric arrangement. Hexahedral (brick) elements are not considered herein, but some of the effects (for tetrahedral elements) also apply to hexahedral elements. For axisymmetric EFPs there are also some trade-offs (symmetric grid vs. equally sized elements) associated with the generation of the grid. Computational results are provided to illustrate each of the issues and effects. The virtual particle algorithm is also well suited for high-velocity impact computations, and an example is included to demonstrate this capability for a complex problem. (c) 2005 Elsevier Ltd. All rights reserved.

关键词： explosively formed penetrators contact algorithms explosives computations impact computations

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Robust numerical approaches for simulating the buckling response of 3D fiber-metal laminates under axial impact - Validation with experimental results

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JOURNAL OF SANDWICH STRUCTURES & MATERIALS 2020年第5期22卷 1564-1593页

作者： De Cicco, Davide Taheri, Farid Dalhousie Univ Dept Mech Engn Adv Composite & Mech Lab Halifax NS Canada

The reliability and efficiency of three different numerical modeling approaches for simulating the response of a newly developed 3D fiber-metal laminate (3D-FML), subject to axial impact loading, are considered in this paper. The main objective of the study is to establish the most robust numerical framework for analyzing the performance of such complexly configured hybrid materials subject to axial impact loading in a fairly accurate, yet efficient manner. LS-DYNA finite element software is used for the purpose. The models include: (i) a full 3D solid model, where all 3D-FML constituents are modeled with 3D elements;(ii) a model with intermediate complexity, in which two different element types are used to model the metallic skins and 3D-fiberglass/foam core, respectively;and (iii) a simplified scheme, consisting of a single layer of thin-shell elements, representing all constituents of the FML. An experimental investigation is also conducted in parallel to verify the accuracy of the modeling schemes. Force and axial-shortening histories, energy absorption capacity, and overall qualitative behavior obtained numerically are compared to experimental results. Both accuracy and computation cost are considered as the performance criteria, all with the aim of providing the reader with some perspective for robust modeling of such geometrically sophisticated composites, subject to a complex loading mechanism.

关键词： 3D fiber metal laminates buckling impact buckling finite element modeling contact algorithms

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Consistent mesh tying methods for topologically distinct discretized surfaces in non-linear solid mechanics

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2003年第9期57卷 1197-1242页

作者： Laursen, TA Heinstein, MW Duke Univ Dept Civil & Environm Engn Computat Mech Lab Durham NC 27708 USA Sandia Natl Labs Computat Solid Mech & Struct Dynam Dept Albuquerque NM 87185 USA

This work presents a new technique for joining dissimilar meshes in non-linear finite element analysis, with the novel result that the adjoining surfaces do not need to be spatially coincident for patch tests to be passed. The work builds in some sense on results previously presented by Dohrmann et al. (International Journal for Numerical Methods in Engineering 1991;40:1205), but considerably generalizes upon the results presented there. Most importantly, it is shown that consistency of the tied finite element formulation may be achieved such that implementation of element formulations is not affected, through the use of a three-field variational principle applied over the contacting region. A key conclusion of the work is that although the approach advocated bears some resemblance to mortar element schemes for contact analysis (see, for example, McDevitt and Laursen, International Journal for Numerical Methods in Engineering 2000;48:1525), a straightforward application of a mortaring scheme is not sufficient to guarantee patch test passage when dissimilar meshing of curved surfaces leads to local open volumes (or overlaps) between tied surfaces in their reference configurations. The proposed algorithm is demonstrated through a number of numerical examples performed within a matrix-free non-linear equation solving framework. Published in 2003 by John Wiley Sons, Ltd.

关键词： mesh tying methods contact algorithms patch tests mortar element methods

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