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Transformation and Plasticity of Shape Memory Alloy Structures: Constitutive Modeling and Finite Element Implementation

机译:形状记忆合金结构的转化和可塑性:本构型建模与有限元实现

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摘要

In this work, we extend a well-known three-dimensional phenomenological shape memory alloy (SMA) constitutive model known as Souza model. The proposed model describes more precisely the hardening behavior observed during forward- and reverse-phase transformation as well as evolution of plastic strain and its effects on transformation behavior. Moreover, we present a solution algorithm for low temperatures and evolution of plastic strains which considerably reduces the computational cost. Through calibration of material parameters, the model is able to predict pseudo-elasticity and shape memory properties of SMAs more accurately compared to Souza model. Moreover, the plasticity and its effect on transformation are well predicted by the proposed model. Through finite element implementation, we can perform simulations on complex SMA structures. Finally we compare the run time for the present algorithm with the iterative Newton method used for solving equations of Souza model. The comparisons show that the computational cost of the proposed algorithm is considerably lower than previous algorithms.
机译:在这项工作中,我们扩展了称为Souza模型的公知的三维现象形状记忆合金(SMA)本构模型。所提出的模型更准确地描述了在正向和反相变换期间观察到的硬化行为以及塑性应变的演化及其对转化行为的影响。此外,我们提出了一种用于低温和塑性菌株的演化的解决方案算法,其显着降低了计算成本。通过材料参数的校准,与Souza模型相比,该模型能够更准确地预测SMA的伪弹性和形状记忆特性。此外,通过所提出的模型,可塑性及其对转化的影响。通过有限元实现,我们可以对复杂的SMA结构进行模拟。最后,我们将目前算法的运行时间与用于求解Souza模型的方程的迭代牛顿方法进行比较。比较表明,所提出的算法的计算成本远远低于以前的算法。

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