Performance of time‐stepping schemes for discrete models in fracture dynamic analysis

Performance of time‐stepping schemes for discrete models in fracture dynamic analysis
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断裂动态分析中离散模型的时间步进方案的性能

DOI:
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发表时间:
2006
期刊:
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通讯作者:
A. Ibrahimbegovic
A. Ibrahimbegovic
中科院分区:
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文献类型:
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作者:
A. Delaplace;A. Ibrahimbegovic

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在这项工作中,我们在一个离散模型描述的脆性断裂问题的非线性动力分析的背景下,对不同的时间积分方案进行了评价。这种离散模型由代表非均质结构的颗粒的Voronoi单元组成,这些单元通过由梁状连接模拟的内聚力相互连接,能够适当地考虑脆性动态断裂和可能从结构中分离的仍然相连的颗粒的大位移。内聚链节的脆性行为要求谨慎对待此类模型的动态分析,并选择可能的最佳集成方案。探讨并比较了Newmark显式和隐式、HHT-α和能量衰减四种不同格式在动态牵引力试验中的应用。版权所有©2005 John Wiley&Sons,Ltd.
In this work we present a critical evaluation of different time integration schemes within the setting of non‐linear dynamic analysis of brittle fracture problem represented by a discrete model. The discrete model of this kind consists of Voronoi cells representing the grains of a heterogeneous structure, which are interconnected by cohesive forces modelled by beam‐like links capable of taking properly into account both brittle dynamic fracture and large displacement of a still connected pack of grains that might split from the structure. The brittle behaviour of cohesive links requires that the dynamic analysis of such a model be treated with care, and the best possible integration scheme be selected. Four different schemes are explored and compared in application to a dynamic traction test, including Newmark explicit and implicit schemes, HHT‐α scheme and energy‐decaying scheme. Copyright © 2005 John Wiley & Sons, Ltd.