| 基于偶应力理论的压杆屈曲载荷的尺寸效应 |
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| 引用本文： | 孔胜利,周慎杰,聂志峰,王凯.基于偶应力理论的压杆屈曲载荷的尺寸效应[J].机械强度,2009,31(1). |
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| 作者姓名： | 孔胜利 周慎杰 聂志峰 王凯 |
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| 作者单位： | 山东大学,机械工程学院,济南,250061 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金，山东省自然科学基金 |
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| 摘 要： | 许多微尺度实验证实,一些材料在微尺度下的力学性能存在尺寸效应.基于修正偶应力理论研究细长压杆屈曲载荷的尺寸效应,利用变分原理得到细长压杆屈曲的控制方程和边界条件,求解相应的屈曲边界值问题.结果表明,当细长压杆的特征尺寸与其材料本征尺度参数相当时,其屈曲载荷显著增大,表现出明显的尺寸效应;而当细长压杆的特征尺寸远大于其材料本征尺度参数时,其屈曲载荷与传统理论值基本相等,即其尺寸效应消失.
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| 关 键 词： | 尺寸效应 偶应力理论 变分原理 屈曲载荷 微电子机械系统 |
SIZE EFFECT ON THE BUCKLING LOADS OF SLENDER COLUMNS BASED ON A MODIFIED COUPLE STRESS THEORY |
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| KONG ShengLi,ZHOU ShenJie,NIE ZhiFeng,WANG Kai.SIZE EFFECT ON THE BUCKLING LOADS OF SLENDER COLUMNS BASED ON A MODIFIED COUPLE STRESS THEORY[J].Journal of Mechanical Strength,2009,31(1). |
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| Authors: | KONG ShengLi ZHOU ShenJie NIE ZhiFeng WANG Kai |
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| Affiliation: | School of Mechanical Engineering;Shandong University;Jinan 250061;China |
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| Abstract: | Many micro experiments had shown that the mechanical properties of some materials at micro scales are size dependence.Based on modified couple stress theory,size effect on buckling loads of slender columns has been analyzed theoretically.The governing equation and boundary conditions of slender columns are derived with the aid of variational principle and the solutions of corresponding boundary values problems for buckling are presented.The results show that the buckling load of slender columns increase rem... |
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