| 弹塑性问题的互补变分原理与模型 |
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| 引用本文： | 孙林松,郭兴文,王德信.弹塑性问题的互补变分原理与模型[J].河海大学学报(自然科学版),2002,30(2):35-38. |
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| 作者姓名： | 孙林松 郭兴文 王德信 |
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| 作者单位： | 1. 扬州大学水利与建筑工程学院,江苏,扬州,225001
2. 河海大学土木工程学院,江苏,南京,210098 |
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| 摘 要： | 首先利用塑性理论中屈服函数与塑性流动参量之间的互补性，给出了弹塑性问题的互补虚功原理；然后用Taylor级数对屈服函数进行线性化处理，导出了基于有限单元法的弹塑性问题的线性互补模型，并给出了求解方法，算例结果表明，本文方法不但具有较高的计算效率和计算精度，而且具有较广的适用范围。
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| 关 键 词： | 弹塑性 互补虚功原理 有限单元法 线性互补模型 |
| 文章编号： | 1000-1980(2002)02-0035-04 |
| 修稿时间： | 2000年12月8日 |
Complementary Variation Principle and Model for Elastoplastic Problems |
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| SUN Lin song ,GUO Xing wen ,WANG De xin.Complementary Variation Principle and Model for Elastoplastic Problems[J].Journal of Hohai University (Natural Sciences ),2002,30(2):35-38. |
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| Authors: | SUN Lin song GUO Xing wen WANG De xin |
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| Institution: | SUN Lin song 1,GUO Xing wen 2,WANG De xin 2 |
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| Abstract: | In consideration of the complementarity between yield function and plastic flow parameters in the plastic theory, a complementary virtual work principle is proposed for elastoplastic problems. Based on the linearization of yield function with the Taylor Series, a FEM based linear complementary model is developed, and an algorithm is also presented. Calculation shows that the present method may help improve the calculation efficiency and precision, and it has a wide scope of application. |
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| Keywords: | elastoplasticity virtual work principle with complementarity FEM linear complementary model |
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