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首页> 外文会议>AMD-vol.256; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20051105-11; Orlando,FL(US) >COMPARISON OF THE STRAIN LOCALIZATION APPROACHES: VISCOPLASTICITY THEORY AND GRADIENT DEPENDENT THEORY
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COMPARISON OF THE STRAIN LOCALIZATION APPROACHES: VISCOPLASTICITY THEORY AND GRADIENT DEPENDENT THEORY

机译：应变局部化方法的比较：粘塑性理论和梯度依赖理论

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摘要

This work is focused on the comparison between the two strain localization techniques namely, the viscoplasticity and the gradient dependent theory. In the first approach a length-scale parameter is introduced implicitly through viscosity in order to address strain localization and material instability in the (initial) boundary value problems. The second approach is the enhanced nonlocal gradient-dependent theory which formulates a constitutive framework on the continuum level that is used to bridge the gap between the micromechanical theories and the classical (local) continuum. It is successful in explaining the size effects encountered at the micron scale and in preserving the well-posedeness of the (initial) boundary value problems governing the solution of material instability triggering strain localization. This is due to the explicit incorporation of an intrinsic material length scale parameter in the constitutive description. These numerical examples prove the excellent performance of the present frameworks in describing the strain localization problem.
机译：这项工作的重点是比较两种应变定位技术，即粘塑性和梯度相关理论。在第一种方法中，通过粘度隐式引入长度尺度参数，以解决（初始）边界值问题中的应变局部化和材料不稳定性。第二种方法是增强的非局部梯度相关理论，该理论在连续体水平上构造了本构框架，该构架用于弥合微机械理论和经典（局部）连续体之间的差距。它成功地解释了在微米尺度上遇到的尺寸效应，并保持了（初始）边界值问题的适定性，该问题控制着触发应变局部化的材料不稳定性的解决方案。这是由于在本构描述中明确包含了固有材料长度比例参数。这些数值示例证明了当前框架在描述应变局部化问题方面的出色性能。

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