| 线弹性双材料一维泛形本构模型 |
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| 引用本文： | 杨敏,欧卓成,李竟艳,段卓平,黄风雷.线弹性双材料一维泛形本构模型[J].北京理工大学学报,2016,36(S1):188-190. |
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| 作者姓名： | 杨敏 欧卓成 李竟艳 段卓平 黄风雷 |
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| 作者单位： | 北京理工大学爆炸科学与技术国家重点实验室, 北京 100081,北京理工大学爆炸科学与技术国家重点实验室, 北京 100081,北京理工大学爆炸科学与技术国家重点实验室, 北京 100081,北京理工大学爆炸科学与技术国家重点实验室, 北京 100081,北京理工大学爆炸科学与技术国家重点实验室, 北京 100081 |
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| 基金项目： | 国家自然科学基金资助项目（11221202，11390362） |
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| 摘 要： | 基于广义泛形Cantor集，建立了一维双材料杆的泛形本构模型，能够体现骨料体积比和骨料级配对弹性模量的影响，进而给出其等效弹性模量的解析表达式.将其应用于混凝土，计算结果与实验结果吻合.此外，泛形模型具有连续的材料界面位移分布，从而避免了分形模型中界面位移间断的困惑.
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| 关 键 词： | 泛形 分形 混凝土 位移分布 等效弹性模量 |
| 收稿时间： | 2016/3/26 0:00:00 |
Alinear Elastic One-Dimensional Ubiquitiformal Constitutivemodel for Bi-Material |
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| YANG Min,OU Zhuo-cheng,LI Jing-yan,DUAN Zhuo-ping and HUANG Feng-lei.Alinear Elastic One-Dimensional Ubiquitiformal Constitutivemodel for Bi-Material[J].Journal of Beijing Institute of Technology(Natural Science Edition),2016,36(S1):188-190. |
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| Authors: | YANG Min OU Zhuo-cheng LI Jing-yan DUAN Zhuo-ping and HUANG Feng-lei |
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| Institution: | State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China,State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China,State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China,State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China and State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | Based on the generalized ubiquitiformal Cantor set,a ubiquitiformal constitutive model for a bi-material rod was proposed. Effect of both aggregate volume ratio and aggregate gradation can be taken into account, and then the explicit analytical expressions for calculating effective elastic modulus was obtained. The numerical results for concrete were found to be in good agreement with previous experimental data.Moreover, in the ubiquitiformal model, the interfacial displacements between the two materials are continuous, which avoids the difficulty of the discontinuous interfacial displacements in previous fractal models. |
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| Keywords: | ubiquitiform fractal concrete displacement distribution elasticity modulus |
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