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关于拐点的几点思考
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作者 杜红春 《克拉玛依学刊》 2005年第6期57-58,共2页
通过对几种常见教材中拐点定义的辨析与思考,提出自已对拐点的名称、定义以及几何与数值特性的看法,并提出求拐点的完整步骤。
关键词 拐点 变曲点 扭转点 凹凸性 导数 拐点的条件
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也谈拐点的定义 被引量:6
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作者 解元元 《高等数学研究》 2003年第3期11-12,39,共3页
对“关于拐点的定义”一文列举的拐点的定义加以分析 ,提出对拐点的看法 。
关键词 拐点 定义 连续函数 凹性 变曲点
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Field measurement of strain response for typical asphalt pavement 被引量:7
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作者 PAN Qin-xue ZHENG Ce-ce +5 位作者 Lü Song-tao QIAN Guo-ping ZHANG Jun-hui WEN Pi-hua MILKOS Borges Cabrera ZHOU Huai-de 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第2期618-632,共15页
In order to reveal the changing law of the mechanical response of asphalt pavements under the action of vehicle load and provide references for the design of durable pavements,three typical asphalt pavement structures... In order to reveal the changing law of the mechanical response of asphalt pavements under the action of vehicle load and provide references for the design of durable pavements,three typical asphalt pavement structures with flexible base(S1),combined base(S2),and semi-rigid base(S3)were selected to perform field strain tests under static and dynamic load using the fiber Bragg grating optical sensing technology.The changing characteristics of the strain field along the horizontal and depth directions of pavements were analyzed.The results indicate that the most unfavorable asphalt pavement layers were the upper-middle surface layer and the lower base layer.In addition,the most unfavorable loading positions on the surface layer and the base layer were the center of wheel load and the gap center between two wheels,respectively.The most unfavorable layer of the surface layers gradually moved from the lower layer to the upper layer with the increase of base layer modulus.The power function relationships between structural layer strain and vehicle speed were revealed.The semi-rigid base asphalt pavement was the most durable pavement type,since its strain value was lower compared to those of the other structures. 展开更多
关键词 asphalt pavement strain duration curve load position vehicle speed fiber Bragg grating optical sensors
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Parameter fitting of constitutive model and FEM analysis of solder joint thermal cycle reliability for lead-free solder Sn-3.5Ag 被引量:1
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作者 周萍 胡炳亭 +1 位作者 周孑民 杨莺 《Journal of Central South University》 SCIE EI CAS 2009年第3期339-343,共5页
The experimental tests of tensile for lead-flee solder Sn-3.5Ag were performed for the general work temperatures range from 11 to 90 ℃ and strain rate range from 5 × 10^-5 to 2 × 10^-2s^-1, and its stress--... The experimental tests of tensile for lead-flee solder Sn-3.5Ag were performed for the general work temperatures range from 11 to 90 ℃ and strain rate range from 5 × 10^-5 to 2 × 10^-2s^-1, and its stress--strain curves were compared to those of solder Sn-37Pb. The parameters in Anand model for solder Sn-3.5Ag were fitted based on experimental data and nonlinear fitting method, and its validity was checked by means of experimental data. Furthermore, the Anand model was used in the FEM analysis to evaluate solder joint thermal cycle reliability. The results show that solder Sn-3.5Ag has a better creep resistance than solder Sn-37Pb. The maximum stress is located at the upper right comer of the outmost solder joint from the symmetric center, and thermal fatigue life is predicted to be 3.796 × 10^4 cycles under the calculated conditions. 展开更多
关键词 lead free solder Sn-3.5Ag alloy Sn-37Pb alloy constitutive model TENSILE FEM analysis thermal cycle reliability
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Laguerre isothermic surfaces in R^3 and their Darboux transformation 被引量:1
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作者 SONG YuPing 《Science China Mathematics》 SCIE 2013年第1期67-78,共12页
In this paper,we study Laguerre isothermic surfaces in R3.We show that the Darboux transformation of a Laguerre isothermic surface x produces a new Laguerre isothermic surface x and their respective Laguerre Gauss map... In this paper,we study Laguerre isothermic surfaces in R3.We show that the Darboux transformation of a Laguerre isothermic surface x produces a new Laguerre isothermic surface x and their respective Laguerre Gauss maps form a Darboux pair of each other at the corresponding point.We also classify the surfaces which are both Laguerre isothermic and Laguerre minimal and show that they must be Laguerre equivalent to surfaces with vanishing mean curvature in R3,R13 or R03. 展开更多
关键词 Laguerre isothermic surfaces Darboux transformation Laguerre minimal surfaces
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