| 软化材料厚壁筒的解析解及其稳定性分析 |
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| 引用本文： | 殷有泉,陈朝伟.软化材料厚壁筒的解析解及其稳定性分析[J].力学学报,2010,42(1). |
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| 作者姓名： | 殷有泉 陈朝伟 |
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| 作者单位： | 1. 北京大学力学与工程科学系,北京,100871
2. 中国石油集团钻井工程技术研究院,北京,100195 |
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| 摘 要： | 将弹塑性材料的应力应变全过程曲线简化为三线性模型(弹性-线性软化-残余理想塑性),并假设材料服从Tresca屈服准则和关联流动法则,推导出受内压厚壁筒的解析解.在这个解析解的基础上,讨论了厚壁筒的平衡稳定性问题,内压达到临界载荷时,厚壁筒丧失稳定性,其临界载荷就是软化塑性材料厚壁筒的承载能力.
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| 关 键 词： | 厚壁筒 Treaca屈服准则 应变软化 临界载荷 平衡稳定性 |
THE ANALYTICAL SOLUTIONS OF THICK-WALLED CYLINDER OF SOFTENING MATERIAL AND ITS STABILITY |
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| Yin Youquan
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Chen Zhaowei.THE ANALYTICAL SOLUTIONS OF THICK-WALLED CYLINDER OF SOFTENING MATERIAL AND ITS STABILITY[J].chinese journal of theoretical and applied mechanics,2010,42(1). |
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| Authors: | Yin Youquan Chen Zhaowei |
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| Institution: | +/a>;1;Department of Mechanics and Engineering/a>;Peking University/a>;Beijing 100871/a>;China;Drilling Research Institute/a>;CNPC/a>;Beijing 100195/a>;China |
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| Abstract: | The constitutive law of elastoplastic material being simplified to three-line model(elastic-linear softening plastic-residual ideal plastic model),and the material obeying Tresca yield criteria and associated flow rule,the analytical solutions of thick-walled cylinder subject to internal pressure p were derived in the paper. The result shows that the yield stress in the softening plastic region is the inverse square of radial coordinate r. Firstly,the pressure p was taken as generalized force,the displaceme... |
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| Keywords: | thick-walled cylinder Treaca yield criteria strain-softening critical load equilibrium stability |
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