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能量非局部模型和新的应变梯度理论
ENERGY NON-LOCAL MODEL AND NEW STRAIN GRADIENT THEORY

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文摘 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.
其他语种文摘 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 strain gradient theory agree well with the experimental data, while the hardness values predicted by classic plasticity theory are remarkably lower than the experimental data.
来源 力学学报 ,2009,41(1):60-66 【核心库】
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
地址

中国科学院力学研究所, 非线性国家重点实验室, 北京, 100190

语种 中文
文献类型 研究性论文
ISSN 0459-1879
学科 力学
文献收藏号 CSCD:3502868

参考文献 共 29 共2页

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引证文献 3

1 王昕捷 含能单晶微纳米力学性能试验研究及数值表征 力学学报,2015,47(1):95-104
CSCD被引 5

2 陈玲 梯度型非局部高阶梁理论与非局部弯曲新解法 力学学报,2016,48(1):127-134
CSCD被引 1

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