This work presents a three-dimensional constitutive model for shape memory alloys considering the TRansformation-Induced Plasticity (TRIP) as well as the Two-Way Shape Memory Effect (TWSME) through a large deformation framework. The presented logarithmic strain based model is able to capture the large strains and rotations exhibited by SMAs under general thermomechanical cycling. By using the martensitic volume fraction, transformation strain, internal stress, and TRIP strain tensors as internal state variables, the model is capable to capture the stress-dependent TRIP generation when SMAs are subjected to a multiaxial stress state, as well as the TWSME for thermomechanically trained SMAs under load-free conditions. A detailed implementation procedure of the proposed model is presented through a user-defined material subroutine within a finite element framework allowing for solving different Boundary Value Problems (BVPs). Comprehensive instruction on calibrating the model parameters as well as the derivation of continuum tangent stiffness matrix are also provided. In the end, the simulated cyclic pseudoelastic and actuation responses by the presented model for a wide range of SMA material systems under both uniaxial and multiaxial stress states are compared against experimental results to validate the proposed modeling capabilities.

中文翻译：

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考虑相变诱导塑性和双向形状记忆效应的形状记忆合金有限应变本构建模

这项工作通过大变形框架提出了形状记忆合金的三维本构模型，该模型考虑了变形诱导塑性 (TRIP) 以及双向形状记忆效应 (TWSME)。提出的基于对数应变的模型能够捕获 SMA 在一般热机械循环下表现出的大应变和旋转。通过使用马氏体体积分数、转变应变、内应力和 TRIP 应变张量作为内部状态变量，该模型能够捕获当 SMA 受到多轴应力状态时与应力相关的 TRIP 生成，以及 TWSME在无负载条件下经过热机械训练的 SMA。所提出模型的详细实施过程通过有限元框架内的用户定义材料子程序呈现，允许解决不同的边界值问题 (BVP)。还提供了有关校准模型参数以及推导连续切线刚度矩阵的综合说明。最后，将所提出的模型在单轴和多轴应力状态下针对各种 SMA 材料系统模拟的循环伪弹性和驱动响应与实验结果进行比较，以验证所提出的建模能力。