| 能量非局部模型和新的应变梯度理论 |
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| 引用本文： | 易大可,王自强. 能量非局部模型和新的应变梯度理论[J]. 力学学报, 2009, 41(1): 60-66. DOI: 10.6052/0459-1879-2009-1-2008-025 |
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| 作者姓名： | 易大可 王自强 |
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| 作者单位： | 中国科学院力学研究所非线性国家重点实验室中国科学院力学研究所非线性国家重点实验室 |
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| 摘 要： | 提出一种新的基于能量非局部模型的应变梯度理论，并应用此理论对多晶铜以及薄膜基底的微压痕硬度进行理论预测和数值分析. 首先，提出了能量非局部模型，并由此模型，得出新应变梯度理论的本构关系；其次，由变分原理，得出相应的有限元公式；再次，给出了微压痕硬度的有限元分析方法；最后，将该理论预测结果与经典理论预测结果以及实验结果进行了对比. 结果表明，计算结果与实验结果相符；而经典理论的预测结果远低于实验结果.
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| 关 键 词： | 非局部理论 应变梯度理论 微纳米压痕实验 薄膜基底 有限元方法 |
| 收稿时间： | 2008-01-14 |
| 修稿时间： | 2008-05-23 |
ENERGY NON-LOCAL MODEL AND NEW STRAIN GRADIENT THEORY |
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| Yi Dake , Wang Ziqiang. ENERGY NON-LOCAL MODEL AND NEW STRAIN GRADIENT THEORY[J]. chinese journal of theoretical and applied mechanics, 2009, 41(1): 60-66. DOI: 10.6052/0459-1879-2009-1-2008-025 |
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| Authors: | Yi Dake Wang Ziqiang |
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| Affiliation: | LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaLNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | A new strain gradient theory based on energy non-local model is proposed in the paper,and applied to predict the micro-indentation hardness of polycrystalline copper and the thin film-substrate system.First, an energy non-local model is presented to derive the constitutive equation of a new strain gradient theory. Second,the finite element formula of the new strain gradient theory is obtained with the case of the prediction of micro-indentation hardness.It is found that the predicted results by the new stra... |
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| Keywords: | non-local theory strain gradient theory micro-indentation test thin film-substrate system finite element method |
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