高周循环荷载作用过程中土体塑性包络的弹塑性累积模型

doi:ELASTOPLASTIC ACCUMULATION MODEL FOR PREDICTING SOIL PLASTIC ENVELOPE DUE TO HIGH-CYCLIC LOADING

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摘要目前仍没有一个完整的理论框架既能合理描述土体的循环变形，又能适合于高周循环计算与预测，基于Perzyna黏塑性本构模型的理论框架，将一定循环荷载增量内的累积塑性应变增量作为一个封装，提出一个既反映高周循环荷载的特征，又可任意选取积分步长的弹塑性累积模型。采用临界状态土力学的观点，使用累积塑性体应变作为硬化参数并通过幂律的形式来描述塑性应变累积的大小，在硬化准则的描述上，引入反映平均应力影响因式来描述安定性应力水平的硬化过程；另外，在塑性应变累积方向的描述上，采用平均应力状态下修正Cam-clay模型的流动准则。通过模型预测与循环三轴试验结果对比发现，模型在模拟低应力水平下的塑性应变累积行为具有足够的精度，对于高应力水平(尤其当平均应力水平接近或高于临界状态线时)的情况，模型预测与试验结果有一定差距。

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关键词 ：土力学, 砂土, 塑性包络, 弹塑性, 累积模型, 高周循环荷载

Abstract：At present，there is no comprehensive theoretical framework that not only can describe reasonably the behaviour of normal cyclic deformation of soil，but is also suitable for its calculation and prediction at high-cyclic conditions，i.e.，at large numbers of load cycles. In this paper，an elastoplastic accumulation model was developed which incorporates the characteristics of high-cyclic loading and allows a free selection of the integration step size. This model adopts the theoretical framework of Perzyna viscoplasticity and uses an accumulated plastic strain increment over a number of load cycles as a response envelope. Based on the general principles of critical state soil mechanics，the accumulated plastic volumetric strain was used as the hardening parameter to describe the size of the plastic strain accumulation using a power law. A factor representing the influence of average stress was introduced to describe the strain hardening process. In addition，the principles of the modified Cam-clay model at the average stress state were used to describe the direction of the plastic strain accumulation. The developed model was calibrated with data from cyclic triaxial tests. It was found that the model can describe with a sufficient level of accuracy the plastic strain accumulation at low stress levels. However，there were some discrepancies between the model predictions and experimental results at high stress levels，especially when the average stress level was close to or higher than the critical state values.

Key words： soil mechanics sand plastic envelope elastoplastic accumulation model high-cyclic loading

引用本文:

贾鹏飞1，孔令伟2. 高周循环荷载作用过程中土体塑性包络的弹塑性累积模型[J]. 岩石力学与工程学报, 2015, 34(12): 2542-2549.
JIA Pengfei1，KONG Lingwei2. ELASTOPLASTIC ACCUMULATION MODEL FOR PREDICTING SOIL PLASTIC ENVELOPE DUE TO HIGH-CYCLIC LOADING. , 2015, 34(12): 2542-2549.

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http://www.rockmech.org/CN/ELASTOPLASTIC ACCUMULATION MODEL FOR PREDICTING SOIL PLASTIC ENVELOPE DUE TO HIGH-CYCLIC LOADING 或 http://www.rockmech.org/CN/Y2015/V34/I12/2542

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