A first‐order hyperbolic framework for large strain computational solid dynamics: An upwind cell centred Total Lagrangian scheme
A first‐order hyperbolic framework for large strain computational solid dynamics: An upwind cell centred Total Lagrangian scheme
复制标题
大应变计算固体动力学的一阶双曲框架：以逆风单元为中心的总拉格朗日方案
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
J. Bonet
中科院分区：
文献类型：
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作者：
Jibran Haider;C. H. Lee;A. J. Gil;J. Bonet
本文建立在最近的工作，作者开发的大应变固体动力学的数值分析，通过引入一个迎风单元为中心的六面体有限体积框架内实现的开源代码OpenFOAM [http：//www.openfoam.com/]。在Lee，Gil and Bonet（2013）中，根据系统的线性动量和变形梯度张量引入了一阶双曲守恒律系统，从而在二维弯曲主导的几乎不可压缩场景中表现出优异的行为。本文的主要目的是将该算法扩展到三维空间，将其量身定制到OpenFOAM中，并通过三个关键的新颖性来增强该公式。首先，引入两种不同的策略，以确保满足系统的底层对合，即变形梯度张量在整个变形过程中必须是无旋的。其次，采用离散角动量投影算法和单片总变差递减龙格-库塔时间积分器相结合，以保证角动量守恒。第三，为了比较的目的，Kluth和Després（2010）的超弹性-GLACE节点格式的修改后的全拉格朗日版本。一系列具有挑战性的数值例子进行检查，以评估所提出的算法的鲁棒性和准确性，基准它对丰富的频谱的替代数值策略的作者在最近的出版物。版权所有© 2016约翰威利父子有限公司.
This paper builds on recent work developed by the authors for the numerical analysis of large strain solid dynamics, by introducing an upwind cell centred hexahedral finite volume framework implemented within the open source code OpenFOAM [http://www.openfoam.com/]. In Lee, Gil and Bonet (2013), a first‐order hyperbolic system of conservation laws was introduced in terms of the linear momentum and the deformation gradient tensor of the system, leading to excellent behaviour in two‐dimensional bending dominated nearly incompressible scenarios. The main aim of this paper is the extension of this algorithm into three dimensions, its tailor‐made implementation into OpenFOAM and the enhancement of the formulation with three key novelties. First, the introduction of two different strategies in order to ensure the satisfaction of the underlying involutions of the system, that is, that the deformation gradient tensor must be curl‐free throughout the deformation process. Second, the use of a discrete angular momentum projection algorithm and a monolithic Total Variation Diminishing Runge–Kutta time integrator combined in order to guarantee the conservation of angular momentum. Third, and for comparison purposes, an adapted Total Lagrangian version of the hyperelastic‐GLACE nodal scheme of Kluth and Després (2010) is presented. A series of challenging numerical examples are examined in order to assess the robustness and accuracy of the proposed algorithm, benchmarking it against an ample spectrum of alternative numerical strategies developed by the authors in recent publications. Copyright © 2016 John Wiley & Sons, Ltd.
影响因子：
4.1
作者：
Gil, A. J.;Carreno, A. Arranz;Hassan, O.
通讯作者：
Hassan, O.
影响因子：
4.1
作者：
Gil, A. J.;Carreno, A. Arranz;Hassan, O.
通讯作者：
Hassan, O.
影响因子：
4.7
作者：
Jin, D.;Ledger, P. D.;Gil, A. J.
通讯作者：
Gil, A. J.