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On the elasticity and plasticity of dilatant granular materials

机译:关于膨胀粒状材料的弹性和可塑性

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We present a model which simulates the response of a granular material (made up of non- plastic grains) to small cyclic shear strain. The model is based upon a dissipation function representing energy dissipated as plastic deformation and a quadratic dilatancy rule describing the volume response which produces kinematic hardening. Elastic defOrmation is included in the model through a function describing the rate at which it is stored as deformation occurs. Two sets of experimental data (one for a shear test, the other for a circular loading test) are used to evaluate the accuracy of the model. For the shear test, both the shear strain--shear stress curve and the shear strain--volume strain curve are reproduced well. In the circular loading test, the principal strain response and volume response are modelled realistically.
机译:我们提出了一个模型,该模型模拟颗粒材料(由非塑料颗粒组成)对较小的循环剪切应变的响应。该模型基于表示耗散为塑性变形的能量的耗散函数和描述产生运动硬化的体积响应的二次膨胀规则。弹性变形是通过描述变形发生时存储速率的函数包含在模型中的。两组实验数据(一组用于剪切试验,另一组用于圆形载荷试验)用于评估模型的准确性。对于剪切试验,剪切应变-剪切应力曲线和剪切应变-体积应变曲线均能很好地再现。在圆形载荷测试中,实际应变模型主要响应和体积响应。

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