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一种具有分形结构的弹黏塑性材料建模及其求解方法
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作者 李德建 祁浩 +3 位作者 张鸣原 霍君豪 刘江硕 饶远昊 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2024年第3期176-190,共15页
本文建立了一种具有分形结构的元件模型,用于描述材料弹粘塑性特性,并可以在无需求解相应的无限阶微分方程的情况下获得各载荷作用下模型的力学反应.首先,基于这种建模方法,建立了表征具有复杂无限阶分形结构材料弹黏塑性特性的混联元... 本文建立了一种具有分形结构的元件模型,用于描述材料弹粘塑性特性,并可以在无需求解相应的无限阶微分方程的情况下获得各载荷作用下模型的力学反应.首先,基于这种建模方法,建立了表征具有复杂无限阶分形结构材料弹黏塑性特性的混联元件模型(L-R模型).然后,利用MATLAB/Simulink,借助弹簧(弹性)、黏壶(黏性)和塑性体(塑性)单元的本构关系来描述材料的基本力学性能.之后,将宾厄姆模型作为基本模型按照分形理论进行迭代,通过求解得到描述材料在各种载荷作用下的力学(弹黏塑性)反应.最后,为了验证该建模方法及其求解结果的可靠性,在钢、板岩、煤、红砂岩和盐岩五种不同分形结构的材料上进行了循环载荷实验.将实验结果与求解结果进行比较,表明所建立的模型能够有效地描述材料的弹黏塑性性能. 展开更多
关键词 Infinite order fractal structure Elastic-viscous-plastic properties Element model Experimental simulation
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Application of semi-analytical finite element method coupled with infinite element for analysis of asphalt pavement structural response 被引量:6
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作者 Pengfei Liu Dawei Wang Markus Oeser 《Journal of Traffic and Transportation Engineering(English Edition)》 2015年第1期48-58,共11页
A specific computational program SAFEM was developed based on semi-analytical finite element (FE) method for analysis of asphalt pavement structural responses under static loads. The reliability and efficiency of th... A specific computational program SAFEM was developed based on semi-analytical finite element (FE) method for analysis of asphalt pavement structural responses under static loads. The reliability and efficiency of this FE program was proved by comparison with the general commercial FE software ABAQUS. In order to further reduce the computational time without decrease of the accuracy, the infinite element was added to this program. The results of the finite-infinite element coupling analysis were compared with those of finite element analysis derived from the verified FE program, The study shows that finite-infinite element coupling analysis has higher reliability and efficiency. 展开更多
关键词 Asphalt pavement Structural response Semi-analytical finite element method ABAQUS Infinite elementFinite-infinite element coupling analysis
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