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首页> 外文期刊>Smart Materials & Structures >A three-dimensional constitutive model for the martensitic transformation in polycrystalline shape memory alloys under large deformation
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A three-dimensional constitutive model for the martensitic transformation in polycrystalline shape memory alloys under large deformation

机译：大变形下多晶体形状记忆合金马氏体变换的三维构成模型

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摘要

This work presents a three-dimensional constitutive model for the martensitic transformation in polycrystalline shape memory alloys (SMAs) under large deformation. By utilizing the logarithmic strain and rate, the model is able to account for large strains and rotations that SMA-based components may undertake, but also resolves the stress errors caused by the non-integrable objective rates that are widely used in current commercial finite element software. The model is developed through classical thermodynamic laws combined with the standard Coleman-Noll procedure. The scalar martensitic volume fraction and the second-order transformation strain tensor are chosen as the internal state variables to capture the material response exhibited by polycrystalline SMAs. A detailed implementation procedure of the proposed model is described through a user-defined material subroutine. Numerical experiments considering SMA components including a bar, a beam, a torque tube and a solid flexible structure under stress/thermally-induced phase transformations are investigated via the proposed model, and the results under cyclic loading are compared against the predictions provided by the Abaqus nonlinear solver. The development framework of the proposed model and its implementation procedure can be extended to incorporate other nonlinear phenomena exhibited by SMAs, such as transformation-induced plasticity, viscoplasticity, and damage under large deformation.
机译：该作品在大变形下呈现了多晶形状记忆合金（SMA）中的马氏体变换的三维结构型模型。通过利用对数应变和速率，该模型能够考虑基于SMA的组件可以承担的大型菌株和旋转，而且还可以解决由广泛用于当前商业有限元件中广泛使用的不可排益的客观速率引起的应力误差软件。该模型是通过古典热力学定律开发的，与标准Coleman-NOLL程序相结合。选择标量的马氏体体积分数和二阶变换应变张量作为内部状态变量，以捕获多晶SMA表现出的材料响应。通过用户定义的材料子例程描述所提出的模型的详细实现过程。考虑在应力/热诱导的相变下包括杆，梁，扭矩管和固体柔性结构的SMA部件的数值实验是通过所提出的模型研究的，并将循环载荷的结果与ABAQUS提供的预测进行比较非线性求解器。所提出的模型及其实施过程的发展框架可以扩展以掺入SMAS表现出的其他非线性现象，例如转化诱导的可塑性，粘合性和在大变形下的损伤。

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