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功能梯度圆筒热弹性问题的状态空间解

Journal of Hefei University of Technology(Natural Science)(2019)

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Abstract
文章研究了功能梯度圆筒受轴对称温度荷载时的热弹性问题.基于热传导方程、热弹性方程、平衡方程和引入热流密度,建立了圆筒热弹性轴对称平面应变问题的状态空间理论,得到了材料参数沿径向任意梯度变化圆筒热弹性问题的状态空间解.算例验证了文中解的正确性和有效性.文中方法可推广到任意梯度圆筒的瞬态热应力和热动力响应分析.
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