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应用BRINSON[1]的形状记忆合金(SMA)一维本构模型及相变动力关系,编写ABAQUS中相应的UMAT子程序,使形状记忆合金成为ABAQUS可处理的材料之一.首先计算单根形状记忆合金丝在不同温度下的应力-应变曲线,约束条件下的温度-应力曲线及循环加载下的应力-应变曲线,验证了UMAT程序的正确性.然后用UTRS子程序引入基体梁的热粘弹性质.使用ABAQUS对形状记忆合金丝加强的环氧树脂梁在侧向载荷下的变形进行仿真分析,计算结果与前期研究得到的试验结果很吻合.

参考文献

[1] Brinson L C. One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable [J]. J of Intelligent Material Systems and Structures, 1993, 4(2): 229-242.
[2] 孙国钧. 形状记忆合金复合材料梁的弯曲 [J]. 复合材料学报, 1995, 12(4): 119-124.
[3] Baz A, Poh S, Ro J, et al. Active control of nitinol-reinforced composite beams [A]. In: Tzou H S editor. Intelligent Structures and Systems [C].The Netherlands: Kluwer Academic,1992.
[4] Baz A, Poh S, Ro J, Gilheany J. Control of the natural frequencies of nitinol-reinforced composite beams [J]. Journal of Sound and Vibration, 1995, 185(1): 171-185.
[5] Epps J, Chandra R. Shape memory alloy actuation for active tuning of composite beams [J]. Smart Materials and Structures, 1997, 6(3): 251-264.
[6] Sun S S, Sun G, Wu J S. Thermo-viscoelastic bending analysis of a shape memory alloy hybrid epoxy beam [J]. Smart Materials and Structures, 2002, 11(6): 970-975.
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