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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Reuleaux plasticity: Analytical backward Euler stress integration and consistent tangent
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Reuleaux plasticity: Analytical backward Euler stress integration and consistent tangent

机译：Reuleaux可塑性：解析后向Euler应力积分和一致的切线

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Analytical backward Euler stress integration is presented for a deviatoric yielding criterion based on a modified Reuleaux triangle. The criterion is applied to a cone model which allows control over the shape of the deviatoric section, independent of the internal friction angle on the compression meridian. The return strategy and consistent tangent are fully defined for all three regions of principal stress space in which elastic trial states may lie. Errors associated with the integration scheme are reported. These are shown to be less than 3% for the case examined. Run time analysis reveals a 2.5-5.0 times speed-up (at a material point) over the iterative Newton-Raphson backward Euler stress return scheme. Two finite-element analyses are presented demonstrating the speed benefits of adopting this new formulation in larger boundary value problems. The simple modified Reuleaux surface provides an advance over Mohr-Coulomb and Drucker-Prager yield envelopes in that it incorporates dependencies on both the Lode angle and intermediate principal stress, without incurring the run time penalties of more sophisticated models.
机译：提出了基于修正的Reuleaux三角形的偏屈服准则的解析后向Euler应力积分。该标准应用于圆锥模型，该圆锥模型可以控制偏斜截面的形状，而与压缩子午线上的内部摩擦角无关。对于可能存在弹性试验状态的主应力空间的所有三个区域，完全定义了返回策略和一致的切线。报告与集成方案相关的错误。对于所检查的情况，这些值小于3％。运行时分析显示，在迭代的Newton-Raphson后向Euler应力返回方案上，材料点加速了2.5-5.0倍。提出了两个有限元分析，证明了在较大的边值问题中采用这种新公式的速度优势。简单的经过修改的Reuleaux表面提供了超越Mohr-Coulomb和Drucker-Prager屈服范围的优势，因为它结合了对洛德角和中间主应力的依赖性，而不会招致更复杂模型的运行时间损失。

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