On volumetric locking of low-order solid and solid-shell elements for finite elastoviscoplastic deformations and selective reduced integration

On volumetric locking of low-order solid and solid-shell elements for finite elastoviscoplastic deformations and selective reduced integration
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DOI:
10.1108/02644400010355871
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发表时间:
2000-01-01
影响因子:
1.6
通讯作者:
Freischläger, C
Freischläger, C
中科院分区:
工程技术4区
文献类型:
--
作者:
Doll, S;Schweizerhof, K;Freischläger, C

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从几乎不可压缩的弹性力学出发,选择性减缩积分(SRI)是克服二维和三维实体单元体积闭锁问题的一种简单有效的方法。讨论了这种有限弹粘塑性方法及其众所周知的局限性。在这种情况下,一个isochoric-volumetric解耦材料的行为被假定,因此附加的偏体积解耦的一致的算法模量张量是必不可少的。通过几个数值例子,使用选择性减少积分的元素的性能进行了演示,并与其他元素,如增强的假设应变元素的性能进行比较。如果示出的一个小的修改,很少的数值工作,导致相当强大的元素的行为。本文还讨论了这一过程在薄壁结构实体壳单元中的应用。
As known from nearly incompressible elasticity, selective reduced integration (SRI) is a simple and effective method of overcoming the volumetric locking problem in 2D and 3D solid elements. This method of finite elastoviscoplasticity is discussed as are its well-known limitations. In this context, an isochoric-volumetric decoupled material behavior is assumed and thus the additive deviatoric-volumetric decoupling of the consistent algorithmic moduli tensor is essential By means of several numerical examples, the performance of elements using selective reduced integration is demonstrated and compared to the performance of other elements such as the enhanced assumed strain elements. If is shown that a minor modification, with little numerical effort, leads to rather robust element behaviour. The application of this process to so-called solid-shell elements for thin-walled structures is also discussed.