| 用最小二乘配点法解矩形板的弹塑性弯曲问题 |
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| 引用本文： | 惠颖,万虹,梅占馨. 用最小二乘配点法解矩形板的弹塑性弯曲问题[J]. 西安建筑科技大学学报(自然科学版), 1991, 0(3) |
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| 作者姓名： | 惠颖 万虹 梅占馨 |
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| 作者单位： | Xi Ying，Wan Hong，Mei Zhanxin |
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| 摘 要： | 本文采用Prandtl-Reuss理论,考虑材料的强化特性,根据等向强化条件,导出了薄板处于弹塑性弯曲状态时平衡方程的增量形式。选用最小二乘配点法,成功地解决了板的弹塑性弯曲问题。计算了一个四边简支承受均布荷载的薄板弹塑性弯曲问题,计算结果和文献吻合较好。
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| 关 键 词： | 弹塑性 弯曲/矩形板 最小二乘配点法 应变强化 |
Analysis of Elastoplastic Bending Problem of Rectangular Plate by LSCM |
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| Xi Ying,Wan Hong,Mei Zhanxin. Analysis of Elastoplastic Bending Problem of Rectangular Plate by LSCM[J]. Journal of Xi'an University of Architecture & Technology, 1991, 0(3) |
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| Authors: | Xi Ying Wan Hong Mei Zhanxin |
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| Abstract: | In this paper, considering the hardening characteristic of material and the isotropic strain hardening condition, the incremental from of equilibrium equation for thin plate in elastoplastic bending is obtained by the theory of prandtl-Reuss. The LSCM (least square collocation method) has been used successfully to solve the problem of elastoplastic bending of thin plates. As an example, a rectangular plate simply supported at four edges with uniformly distributed load is computed. The calculated results are in good argeement with the data reported in literature. |
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| Keywords: | elastic-plastic bending/rectangular plates least square collocation strain hardening |
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