| 非对称多层薄板折算力学模量的讨论 |
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| 引用本文： | 武红岭.非对称多层薄板折算力学模量的讨论[J].地质力学学报,1997,3(2):24-32. |
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| 作者姓名： | 武红岭 |
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| 作者单位： | 中国地质科学院地质力学研究所 |
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| 摘 要： | 为使有限单元法中的板壳单元更适合于分析地学问题,本文放弃前人对多层薄板的几何和弹性对称性限制,根据等效原则,重新推导了非对称多层薄板的中性面位置,进而给出了用各分层弹性模量和厚度表示的折合抗弯刚度及弹性模量。并结合两个三层地壳模型例题讨论了地壳各分层弯曲和薄膜应力与等效应力的差异.
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| 关 键 词： | 非对称多层薄板 折算力学模量 等效应力 分层应力 |
| 收稿时间： | 1997/1/15 0:00:00 |
DISCUSSION ON THE EFFECTIVE ELASTIC MODULI IN THE UNSYNMMETRICAL MULTI-LAYER PLATE |
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| Wu Hongling.DISCUSSION ON THE EFFECTIVE ELASTIC MODULI IN THE UNSYNMMETRICAL MULTI-LAYER PLATE[J].Journal of Geomechanics,1997,3(2):24-32. |
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| Authors: | Wu Hongling |
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| Institution: | Institute of Geomechanics, CAGS |
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| Abstract: | In order to adapt plate and shell models in applying the finite element method to tectonic analysis problems in representing crustal layer,this paper relaxes the synmmetrical restrictions on the geometry and elasticity in the multi-layered structure.According to the effective principle we re-determine the location of the neutral plane of the plate,which is no longer in the middle of the plate as in the synmmetrical case.General expressions for effective bending stiffness and elastic moduli are given,they are expressed in terms of each layer''s thickness and elastic moduli of the plate.Two examples are given for three-layer crustal model.We also discuss the difference between the effective bending or membrane stress distribution and those obtained by treating each layer in their own moduli. |
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| Keywords: | unsynmmetrical multi-layer plate effective modulus effective stress layered stress |
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