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首页> 外文期刊>International Journal of Solids and Structures >An incrementally continuous deformation theory of plasticity with unloading
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An incrementally continuous deformation theory of plasticity with unloading

机译：卸荷塑性的增量连续变形理论

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摘要

For predictions of plastic buckling, and especially postbuckling behaviour and imperfection sensitivity it is desirable to have a plasticity theory that combines some of the desired characteristics of both the flow and deformation theories of plasticity. For this purpose a way to include unloading within a deformation theory of plasticity is given that preserves the incremental continuity of the resulting constitutive equations. This can only be achieved by allowing plastic deformations to occur within the yield surface. Such plastic deformations are controlled by a parameter m, which describes how rapidly the possibility of such plastic deformations disappears as the stress state moves away from the yield surface. A finite strain version of the formulation is given. The approach can be implemented with minimal changes to an elastic predictor - radial return algorithm for the flow theory of plasticity, by changing the elastic predictor phase only. For tests involving thick-walled (D/t approximate to 10) cylinders with known axisymmetric imperfections under axial compression, this new deformation theory overpredicted the concertina wrinkling type deformations for a given amount of applied axial shortening, whereas the flow theory underpredicted these wrinkling deformations in some cases. (C) 2000 Elsevier Science Ltd. All rights reserved. [References: 22]
机译：为了预测塑性屈曲，特别是预测屈曲后的行为和缺陷的敏感性，希望具有一种可塑性理论，该理论结合了塑性流动理论和变形理论的一些所需特性。为此目的，给出了一种在塑性变形理论中包括卸载的方法，该方法保留了所得本构方程的增量连续性。这只能通过在屈服面内发生塑性变形来实现。这种塑性变形由参数m控制，该参数m描述了当应力状态从屈服面移开时，这种塑性变形的可能性消失的速度有多快。给出了配方的有限应变形式。仅通过更改弹性预测变量的相位，就可以对弹性预测变量的最小更改来实现该方法-用于塑性流动理论的径向返回算法。对于在轴向压缩下具有已知轴对称缺陷的厚壁（D / t约10）圆柱体的测试，对于给定的轴向缩短量，这种新的变形理论高估了六角形起皱型变形，而流动理论则低估了这些起皱变形在某些情况下。 （C）2000 Elsevier ScienceLtd。保留所有权利。 [参考：22]

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