| 岑燕斌,岑燕明.Whitney 引理的推广及应用(英文)[J].数学研究及应用,1997,17(3):319~326 |
| Whitney 引理的推广及应用(英文) |
| The Generalization of Whitney′s Lemma and Application |
| 投稿时间：1994-09-14 |
| DOI：10.3770/j.issn:1000-341X.1997.03.001 |
| 中文关键词: |
| 英文关键词:Whitney′s lemma generalization yield criterion. |
| 基金项目: |
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| 中文摘要: |
| Ｃ∞函数芽的局部奇点理论中，Ｗｈｉｔｎｅｙ引理是一个很重要的定理．本文将证明该定理的整体结论．基于这一推广，详细地讨论了一类材料的塑性屈服准则．发现，对于这类材料，塑性屈服准则最一般的形式应是：g(J1,J′2,J′32)=0．最后举例加以说明 |
| 英文摘要: |
| Whitney's lemma is an important theorem in the local singularity theory of germs of C∞ functions. In this paper, we prove the global conclusion of this lemma. Based on this generalization, the plastic yield criterion for certain kind materials is discussed in detail. We find that for this kind materials the most general form of the plastic yield criterion should be g(J,J′2,J′32)=0 . Finally, we shall also give some practical examples for explanation. |
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