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A finite element solution scheme for an elastic-viscoplastic soil model

机译:弹黏塑性土模型的有限元求解方案

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摘要

A Newton-Raphson solution scheme with a stress point algorithm is presented for the implementation of an elastic-viscoplastic soil model in a finite element program. Viscoplastic strain rates are calculated using the stress and volumetric states of the soil. Sub-increments of time are defined for each iterative calculation of elastic-viscoplastic stress changes so that their sum adds up to the time increment for the load step. This carefully defined 'iterative time' ensures that the correct amount of viscoplastic straining is accumulated over the applied load step. The algorithms and assumptions required to implement the solution scheme are provided. Verification of the solution scheme is achieved by using it to analyze typical boundary value problems.
机译:提出了一种带有应力点算法的牛顿-拉夫森求解方案,用于在有限元程序中实现弹黏塑性土模型。使用土壤的应力和体积状态来计算粘塑性应变率。对于每次弹-粘塑性应力变化的迭代计算,都定义了时间的增量,因此它们的总和等于载荷步的时间增量。精心定义的“迭代时间”可确保在施加的载荷步骤中积累正确量的粘塑性应变。提供了实现解决方案所需的算法和假设。通过使用解决方案方案分析典型的边值问题,可以验证解决方案。

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