论文标题
考虑转换诱导的可塑性和双向形状记忆效应的形状记忆合金的有限应变组成型建模
Finite strain constitutive modeling for shape memory alloys considering transformation-induced plasticity and two-way shape memory effect
论文作者
论文摘要
这项工作提出了一个三维的本构模型，用于考虑转换诱导的可塑性（TRIP）以及通过大型变形框架的双向形状记忆效应（TWSME）的三维本构模型。提出的基于对数菌株的模型能够捕获SMA在一般热力学循环下表现出的大型菌株和旋转。通过使用马塞西氏菌体积分数，转化应变，内部应力和跳闸应变张量作为内部状态变量，该模型能够在SMA受到多轴应力状态以及在无负荷条件下的热力学训练的SMA的TWSME以及TWSME时捕获应力依赖性跳闸的产生。提出的模型的详细实现过程是通过用户定义的材料子例程在有限元框架中介绍的，该过程允许解决不同的边界价值问题（BVP）。还提供了有关校准模型参数以及连续性切线刚度矩阵的推导的全面指导。最后，比较了在单轴和多轴应力状态下，与实验结果进行了比较，以验证提出的建模功能，将模拟模型模拟的循环假弹性和驱动响应进行了比较。
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.
