带孔洞损伤弹性矩形板的屈曲 |
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引用本文: | 徐国林,盛冬发,张庆文,柏亚双,阳高.带孔洞损伤弹性矩形板的屈曲[J].工程力学,2014,31(1):154-159. |
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作者姓名: | 徐国林 盛冬发 张庆文 柏亚双 阳高 |
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作者单位: | 西南林业大学土木工程学院,云南,昆明 650224; 2. 福建工程学院机电及自动化工程系,福建,福州 350108 |
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基金项目: | 国家自然科学基金面上项目(31170534);云南省科技厅应用基础研究项目(2011FZ143);福建省自然科学基金项目(2011J01001);福建省新世纪优秀人才基金项目(GY_R0906) |
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摘 要: | 应用弹性微结构理论,建立了具有广义力场的损伤线弹性材料的基本方程。应用板小挠度理论,给出用挠度和损伤表示的薄板的平衡方程和损伤控制方程。在满足位移和损伤的几何和自然边界条件下,给出了挠曲面函数和损伤函数。最后应用Galerkin方法,分别求出四边简支的损伤弹性板在单向受压和纯剪切状态下的屈曲荷载。
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关 键 词: | 带孔洞弹性固体 Galerkin法 矩形薄板 屈曲 损伤 |
收稿时间: | 2012-09-05 |
THE BUCKLING OF A DAMAGE RECTANGULAR PLATE |
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Affiliation: | Civil Engineering Institute, Southwest Forestry University, Kunming, Yunnan 650224, China; 2. Electromechanical and Automation Engineering Department, Fujian University of Technology, Fuzhou, Fujian 350108, China |
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Abstract: | The basic equations with a generalized force field of linear elastic damage material are derived based on the theory of microstructure elasticity. The plates’ equilibrium equations and the damage control equations are provided via the utilization of theory of a small deflection plate. Under the satisfaction of displacements and damage geometrical and natural boundary conditions, the functions for computing deflection and damage are developed. At last, Galerkin method is used to calculate the buckling load of a simple supported thin rectangular plate under uniaxial compression and pure shear status. |
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