Extension of the Linear Matching Method to frame structures made from a material that exhibits softening

Extension of the Linear Matching Method to frame structures made from a material that exhibits softening
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将线性匹配方法扩展到由软化材料制成的框架结构

DOI:
10.1016/j.euromechsol.2011.04.009
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发表时间:
2011
期刊:
European Journal of Mechanics - A/Solids
影响因子:
--
通讯作者:
Barrera O
Barrera O
中科院分区:
--
文献类型:
--
作者:
Barrera O

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本文研究了在材料或构件发生软化时弹塑性框架结构所能承受的最大荷载的评定问题。在这里,我们提出了线性匹配方法的扩展,以考虑材料软化。该技术有两个主要步骤:减少总势能以获得线性问题的解,并缩放由此产生的变形机制以使载荷最大化。对于这些步骤的第二步,评估两个程序;一种直接的方法是简单地检查解如何沿着自由度空间的径向路径演变,一种增量方法是考虑解如何沿着远离该径向线的路径演变。结果表明,增量方法对于高软化和低软化水平具有更强的鲁棒性,并提供了稳定的解,但对于中等软化程度,该过程中的数值不稳定可能发生。
This paper considers the problem of evaluating the maximum load that an elastic–plastic frame structure can withstand when material or element softening is present. Here we propose an extension of the Linear Matching Method to take into account material softening. The technique has two major steps: reduction of the total potential energy to obtain the solution of a linear problem and scaling of the resulting mechanism of deformation to maximize the load. Two procedures are evaluated for the second of these steps; a direct approach which simply examines how the solution evolves along a radial path in degree of freedom space, and an incremental method which takes into account how the solution might evolve along paths away from this radial line. It is demonstrated that the incremental approach is more robust and provides stable solutions for high and low levels of softening, but numerical instabilities in the procedure can occur for intermediate degrees of softening.
DOI: 10.1016/j.jcsr.2006.11.007
发表时间: 2007
影响因子: 4.1
作者:
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发表时间: 2009
期刊: European Journal of Mechanics - A/Solids
影响因子: --
作者:
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通讯作者: Barrera O
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