| 关于弹性力学的Boussinesq和Love解 |
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| 引用本文： | 王炜.关于弹性力学的Boussinesq和Love解[J].北京大学学报(自然科学版),1999,35(5):616-623. |
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| 作者姓名： | 王炜 |
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| 作者单位： | 北京大学力学与工程科学系，北京，100871 |
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| 基金项目： | 国家自然科学基金;19772004; |
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| 摘 要： | 如果弹性区域满足4个条件，Noll和Gurtin证明了Boussinesq和Love解是完备的。在本文中，将证明对Boussinesq解的完备性而言，上述4个假设是不必要的，而对Love解的完备性，只需2个假设就足够了。
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| 关 键 词： | 弹性力学 弹性通解 完备性 |
| 收稿时间： | 1998-07-07 |
On the Solutions of Boussinesq and Love in Elasticity |
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| WANG Wei.On the Solutions of Boussinesq and Love in Elasticity[J].Acta Scientiarum Naturalium Universitatis Pekinensis,1999,35(5):616-623. |
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| Authors: | WANG Wei |
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| Institution: | Department of Mechanics and Engineering Science, Peking University, Beijing, 100871 |
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| Abstract: | The completeness of the solutions of Boussinesq and Love has been prov ed by Noll and Gurtin if the four hypotheses about an elastic region are satisfi ed. In this paper, it is proved that the four hypotheses about the elastic regio n are unnecessary for the completeness of Boussinesq's solution and that only tw o hypotheses are sufficient for the completeness of Love's solution. |
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| Keywords: | elasticity general solution completeness |
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