| 用Drucker公设导出两个经典屈服准则 |
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| 引用本文： | 谢肖礼.用Drucker公设导出两个经典屈服准则[J].广西大学学报(自然科学版),2005,30(1):10-12. |
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| 作者姓名： | 谢肖礼 |
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| 作者单位： | 广西大学,土木建筑工程学院,广西,南宁,530004 |
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| 基金项目： | 广西自然科学基金(0339017)，桂科百色(0135008)，中国博士后研究基金(桂教科研字2002第316号) |
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| 摘 要： | 从Drucker公设所得的正交流动法则出发，利用塑性体应变增量、等效塑性应变增量这两个塑性指标的特性，对金属材料假定塑性体应变增量为零，并且假设材料屈服时等效塑性应变增量与应力状态无关，通过严密的数学推导，导出了Mises准则，并进而在不考虑第二主应力的条件下，应用塑性功的性质导出了Tresca准则．
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| 关 键 词： | Drucker公设 正交流动法则 Mises准则 Tresca准则 |
| 文章编号： | 1001-7445(2005)01-0010-03 |
| 修稿时间： | 2005年1月11日 |
The deduction of Mises yield criterion Tresca criterion with Drucker postulation |
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| XIE Xiao-li.The deduction of Mises yield criterion Tresca criterion with Drucker postulation[J].Journal of Guangxi University(Natural Science Edition),2005,30(1):10-12. |
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| Authors: | XIE Xiao-li |
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| Abstract: | Based on the plastic flow rule drawn from plastic flow rule of Drucker postulation,one of the two classic yield criteria i.e. Mises yield criterion & Tresca yield criterion is deduced strictly through rigorous mathematic deduction by using the characteristics of two scalar indexes-the plastic volumetric strain increment and equivalent plastic strain increment under yield condition . Assuming the middle principal stress being zero,combined with the character of the plastic work done increment,the other criterion i.e. Tresca yield criterion is deduced. |
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| Keywords: | Drucker postulation plastic flow rule Mises yield criterion Tresca yield criterion |
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