| Shakedown Analysis of 3-D Structures Using the Boundary Element Method Based on the Static Theorem |
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| 作者姓名： | 张晓峰 刘应华 岑章志 |
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| 作者单位： | [1]DepartmentofEngineeringMechanics,TsinghuaUniversity,Beijing100084,China [2]CenterofBoilerandPressureVesselInspectionandResearch,GeneralAdministrationofQualitySupervision,InspectionandQuarantine,Beijing100013,China |
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| 基金项目： | Supported by the Basic Research Foundation of Ts-inghua U niversity,the National Natural Science Foun-dation of China (No.1990 2 0 0 7) ,and the NationalFoundation for Excellent Ph.D.Thesis(2 0 0 0 2 5 ) |
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| 摘 要： | The static shakedown theorem was reformulated for the boundary element method (BEM) rather than the finite element method with Melan‘s theorem, then used to develop a numerical solution procedure for shakedown analysis. The self-equilibrium stress field was constructed by a linear combination of several basis self-equilibrium stress fields with undetermined parameters. These basis self-equilibrium stress fields were expressed as elastic responses of the body to imposed permanent strains obtained using a 3-D BEM elastic-plastic incremental analysis. The lower bound for the shakedown load was obtained from a series of nonlinear mathematical programming problems solved using the Complex method. Numerical examples verified the precision of the present method.
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| 关 键 词： | 新工艺试验分析 边界元法 弹塑性增量分析 非线性规划 三维结构 静态法则 机械工程 |
Shakedown Analysis of 3-D Structures Using the Boundary Element Method Based on the Static Theorem |
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| Abstract: | The static shakedown theorem was reformulated for the boundary element method (BEM) rather than the finite element method with Melan's theorem, then used to develop a numerical solution procedure for shakedown analysis. The self-equilibrium stress field was constructed by a linear combination of several basis self-equilibrium stress fields with undetermined parameters. These basis self-equilibrium stress fields were expressed as elastic responses of the body to imposed permanent strains obtained using a 3-D BEM elastic-plastic incremental analysis. The lower bound for the shakedown load was obtained from a series of nonlinear mathematical programming problems solved using the Complex method. Numerical examples verified the precision of the present method. |
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| Keywords: | boundary element method (BEM) shakedown analysis self-equilibrium stress nonlinear programming Complex method |
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