...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Smart Materials & Structures >An analytical study of the instability of a superelastic shape memory alloy cylinder subject to practical boundary conditions
【24h】

An analytical study of the instability of a superelastic shape memory alloy cylinder subject to practical boundary conditions

机译：实际边界条件下超弹性形状记忆合金圆柱的不稳定性分析研究

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper, we study phase transitions in a slender circular cylinder composed of a compressible hyperelastic material with a non-convex strain energy function. We aim to construct asymptotic solutions based on an axisymmetrical three-dimensional setting and use the results to describe the key features observed in the experiments by others. The problem of the solution bifurcations of the governing nonlinear partial differential equations (PDEs) is solved through a novel approach involving coupled series-asymptotic expansions. We derive the normal form equation of the original complicated system of nonlinear PDEs. By writing the normal form equation into a first-order dynamical system and with a phase-plane analysis, we deduce the global bifurcation properties and solve the boundary-value problem analytically. The asymptotic solutions in terms of integrals are obtained. The engineering stress-strain curve plotted from the asymptotic solutions can capture some key features of the curve measured in the experiments. It appears that the asymptotic solutions obtained shed certain light on the instability phenomena associated with phase transitions in a cylinder. Also, an important feature of this work is that we consider the clamped end conditions, which are more practical but rarely used in the literature for phase transition problems.
机译：在本文中，我们研究了由具有非凸应变能函数的可压缩超弹性材料构成的细长圆柱体中的相变。我们旨在基于轴对称三维设置构造渐近解，并使用结果描述他人在实验中观察到的关键特征。控制非线性偏微分方程（PDE）的解分叉问题通过涉及耦合级数渐近展开的新方法解决。我们导出了非线性PDE原始复杂系统的范式方程。通过将正规形式方程式写入一阶动力学系统并进行相平面分析，我们推导了整体分叉性质，并解析地解决了边值问题。获得关于积分的渐近解。从渐近解中绘制的工程应力-应变曲线可以捕获在实验中测得的曲线的一些关键特征。看来，所获得的渐近解对与圆柱体中相变相关的不稳定性现象提供了一定的启示。同样，这项工作的一个重要特征是我们考虑了钳制的最终条件，这种条件更实用，但在文献中很少用于相变问题。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号