Abstract

In this paper, based on three-dimensional phenomenological model and using a user-defined material subroutine mechanical behavior of shape memory alloy (SMA) wire ropes (or cables) and their components have been studied through implicit solution method in Abaqus software. Material parameters have been extracted using available experimental data and numerical simulations. Due to the convoluted geometry and interwire contact status within a cable, a finite element analysis is firstly performed for a 1 × 37 steel wire rope to validate modeling and mechanical interactions of a wire rope. Afterwards, superelastic and shape memory effect cables with different constructions (7 × 7 and 1 × 27) are studied and their mechanical behavior including normal stress, shear stress, strain, and temperature diagrams as well as the relationship between axial force and displacement for a full cable and each component are extracted. Furthermore, the SMA wire ropes have been optimized in terms of achieving maximum specific energy through experimental design method. Comparison of numerical results with experimental data indicates the acceptable accuracy of this study.

摘要

本文基于三维唯象模型，采用用户自定义材料子程序，在Abaqus软件中通过隐式求解方法对形状记忆合金（SMA）钢丝绳（或电缆）及其部件的力学行为进行了研究。已使用可用的实验数据和数值模拟提取材料参数。由于电缆内复杂的几何形状和线间接触状态，首先对 1 × 37 钢丝绳进行有限元分析，以验证钢丝绳的建模和机械相互作用。然后，研究了具有不同结构（7×7 和 1×27）的超弹性和形状记忆效应电缆及其力学性能，包括正应力、剪应力、应变、和温度图以及完整电缆和每个组件的轴向力和位移之间的关系被提取。此外，SMA 钢丝绳已通过实验设计方法在实现最大比能量方面进行了优化。数值结果与实验数据的比较表明本研究的准确性可以接受。