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Comparison of evolving gradient damage formulations with different activity functions

机译:不同活动功能的演化梯度损伤制剂的比较

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摘要

In the paper, two existing upgrades of the gradient damage model for the simulations of cracking in concrete are compared. The damage theory is made nonlocal via a gradient enhancement to overcome the mesh dependence of simulation results. The implicit gradient model with an averaging equation, where the internal length parameter is assumed as constant during the strain softening analysis, gives unrealistically broadened damage zones. The gradient enhancement of the scalar damage model can be improved via a function of an internal length scale, so an evolution of the gradient activity is postulated during the localization process. Two different modifications of the averaging equation and respective evolving gradient damage formulations are presented. Different activity functions are tested to see whether the formation of a too wide damage zone still occurs. Activating or localizing character of the gradient influence can be introduced and the impact of both approaches on the numerical results is shown in the paper. The aforementioned variants are implemented and examined using the benchmarks of tension in a bar and bending of a cantilever beam.
机译:在论文中,比较了混凝土裂缝模拟梯度损伤模型的两个现有升级。损伤理论通过梯度增强使非局部变得非局部,以克服模拟结果的网格依赖性。具有平均方程的隐式梯度模型,其中内部长度参数在应变软化分析期间被认为是恒定的,给出不切实际的损坏区域。通过内部长度尺度的函数可以改善标量损伤模型的梯度增强,因此在本地化过程中假设梯度活动的演变。介绍了平均方程的两种不同修改和相应的不断变化的梯度损伤制剂。测试不同的活动功能,看看仍然发生太宽损伤区的形成。可以介绍梯度影响的激活或定位特征,并且两种方法对数值结果的影响显示在纸张中。使用张力的基准和悬臂梁弯曲的张力的基准来实现和检查上述变型。

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