A Finite-Strain Phase-Field Description of Thermomechanically Induced Fracture in Shape Memory Alloys
A Finite-Strain Phase-Field Description of Thermomechanically Induced Fracture in Shape Memory Alloys
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DOI：
10.1007/s40830-022-00393-y
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发表时间：
2022-11
影响因子：
2.2
通讯作者：
M. M. Hasan-M.;M. Zhang;T. Baxevanis
中科院分区：
文献类型：
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作者：
M. M. Hasan-M.;M. Zhang;T. Baxevanis
基于欧拉对数 (Hencky) 应变和对数目标速率，提出了形状记忆合金 (SMA) 中热机械诱导断裂的有限应变相场模型，即可以利用 SMA 中的超弹性响应或形状记忆效应的加载路径下的断裂。根据表明 SMA 以应力控制方式断裂的实验观察，假设损伤是由弹性能驱动的，即假设相变通过应力重新分布间接促进裂纹的形成和扩展。该模型仅限于准静态机械载荷（无潜热效应）和相对于传导传热时间速率足够慢的热载荷（无热梯度），并且可以描述马氏体变体从自调节状态的相变和取向。假定单一断裂韧性值，即马氏体的断裂韧性值，因此，感兴趣的温度范围低于该温度，高于该温度奥氏体相稳定。描述了该模型在有效方案中的数值实现，并证明了其重现 SMA 断裂响应实验观察结果以及处理复杂几何形状和载荷条件的能力。
A finite-strain, phase-field model for thermomechanically induced fracture in shape memory alloys (SMAs),i.e., fracture under loading paths that may take advantage of either the superelastic response or the shape memory effect in SMAs, is presented based on the Eulerian logarithmic (Hencky) strain and the logarithmic objective rate. Based on experimental observations suggesting that SMAs fracture in a stress-controlled manner, damage is assumed to be driven by the elastic energy,i.e., phase transformation is assumed to contribute in crack formation and growth indirectly through stress redistribution. The model is restricted to quasistatic mechanical loading (no latent heat effects) and thermal loading sufficiently slow with respect to the time rate of heat transfer by conduction (no thermal gradients), and can describe phase transformation and orientation of martensite variants from a self-accommodated state. A single fracture toughness value is assumed, that of martensite, thus, the temperature range of interest is below, which is the temperature above which the austenite phase is stable. The numerical implementation of the model in an efficient scheme is described and its ability to reproduce experimental observations on the fracture response of SMAs and handle complex geometries and loading conditions is demonstrated.