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GENERALIZATIONS AND CARTESIAN CLOSED SUBCATEGORIES OF SEMICONTINUOUS LATTICES 被引量:4
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作者 李庆国 伍秀华 《Acta Mathematica Scientia》 SCIE CSCD 2009年第5期1366-1374,共9页
In this article, the authors mainly study how to obtain new semicontinuous lattices from the given semicontinuous lattices and discuss the conditions under which the image of a semicontinuous projection operator is al... In this article, the authors mainly study how to obtain new semicontinuous lattices from the given semicontinuous lattices and discuss the conditions under which the image of a semicontinuous projection operator is also semicontinuous. Moreover, the authors investigate the relation between semicontinuous lattices and completely distributive lattices. Finally, it is proved that the strongly semicontinuous lattice category is a Cartesian closed category. 展开更多
关键词 semicontinuous lattices strongly semicontinuous lattices semicontinuous mapping HEREDITARY function space Cartesian closed category
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Almost Fixed Points and Fixed Points of Upper [Lower] Semicontinuous Multimap on Locally G-convex Spaces 被引量:3
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作者 朴勇杰 《Northeastern Mathematical Journal》 CSCD 2005年第4期391-396,共6页
In this paper, we use the well known KKM type theorem for generalized convex spaces due to Park (Elements of the KKM theory for generalized convex spaces, Korean J. Comp. Appl. Math., 7(2000), 1-28) to obtain an a... In this paper, we use the well known KKM type theorem for generalized convex spaces due to Park (Elements of the KKM theory for generalized convex spaces, Korean J. Comp. Appl. Math., 7(2000), 1-28) to obtain an almost fixed point theorem for upper [resp., lower] semicontinuous multimaps in locally G-convex spaces, and then give a fixed point theorem for upper semicontinuous multimap with closed Γ-convex values. 展开更多
关键词 G-convex space upper [lower] semicontinuous locally G-convex space ahnost fixed point property ahnost Γ-convex
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On <i>M</i>-Asymmetric Semi-Open Sets and Semicontinuous Multifunctions in Bitopological Spaces 被引量:2
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作者 Levy K. Matindih Edwin Moyo 《Advances in Pure Mathematics》 2021年第4期218-236,共19页
The purpose of this paper is to introduce the notions of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions defined between asymmetric sets satisfying c... The purpose of this paper is to introduce the notions of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions defined between asymmetric sets satisfying certain minimal conditions in the framework of bitopological spaces. Some new characterizations of <em>m</em>-asymmetric semiopen sets and <em>M</em>-asymmetric semicontinuous multifunctions will be investigated and several fundamental properties will be obtained. 展开更多
关键词 m-Spaces m-Semiasymmetric Open and Closed Sets Upper and Lower M-Asymmetric semicontinuous Multifunction
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SEED SEMICONTINUOUS EMULSION MULTI-COPOLYMERIZATION OF (METH) ACRYLATES WITH HIGH-SOLID CONTENT: EFFECT OF THE OPERATION CONDITIONS
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作者 王文俊 于在璋 +1 位作者 李伯耿 潘祖仁 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 1995年第2期162-172,共11页
The seeded semicontinuous emulsion multi-copolymerization of butyl acrylate (BA), 2-ethylhexyl acrylate (2EHA), methyl methacrylate (MMA), 2-hydroxyl propyl acrylate (HOPA) and acrylic acid (AA) was used to prepare th... The seeded semicontinuous emulsion multi-copolymerization of butyl acrylate (BA), 2-ethylhexyl acrylate (2EHA), methyl methacrylate (MMA), 2-hydroxyl propyl acrylate (HOPA) and acrylic acid (AA) was used to prepare the acrylic latexes with high-solid content. The effects of monomer emulsion feed rates (R(a)) and (R/E)(E) values, the ratio of emulsifier amount between the initial charge (R) and the addition monomer emulsion (E), on the polymerization reaction features, the viscosities, surface tensions,particle sizes and particle sizes distributions of latexes, T-g and the insoluble fractions of films, the 180 degrees peel strength, tack and holding power of pressure-sensitive adhesive (PSA) tapes, prepared from the latexes, were studied. Experimental study shows that the grafting and crosslinking fraction in the PSA tapes must be controlled within a suitable range to keep the balance of the 180 degrees peel strength, tack and holding power. 展开更多
关键词 EMULSION POLYMERIZATION SEEDED semicontinuous POLYMERIZATION LATEX HIGH-SOLID CONTENT ACRYLATE PRESSURE SENSITIVE ADHESIVES
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Inverse Limit of Spaces of Upper Semicontinuous Functions
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作者 张德学 《Northeastern Mathematical Journal》 CSCD 2001年第1期49-52,共4页
Given a compact Hausdorff space X, U(X) denotes the compact Hausdorff space of all the upper semicontinuous functions from X to the unit interval with the dual lim inf topology. Then U is an endofunctor o... Given a compact Hausdorff space X, U(X) denotes the compact Hausdorff space of all the upper semicontinuous functions from X to the unit interval with the dual lim inf topology. Then U is an endofunctor on compact Hausdorff space. It is proved in this note that this functor preserves inverse limits. 展开更多
关键词 upper semicontinuous function continuous lattice lim inf convergence inverse limit
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Texture evolution during semicontinuous equal-channel angular extrusion process of interstitial-free steel
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作者 YAN Bo JIAO Sihai ZHANG Dianhua 《Baosteel Technical Research》 CAS 2015年第4期45-51,共7页
Semicontinuous equal-channel angular extrusion( SC-ECAE) is a novel severe plastic deformation technique that has been developed to produce ultrafine-grain steels. Instead of external forces being exerted on specime... Semicontinuous equal-channel angular extrusion( SC-ECAE) is a novel severe plastic deformation technique that has been developed to produce ultrafine-grain steels. Instead of external forces being exerted on specimens in the conventional ECAE,driving forces are applied to dies in SC-EACE. The deformation of interstitial-free( IF) steel w as performed at room temperature,and individual specimens w ere repeatedly processed at various passes. An overall grain size of 0. 55 μm w as achieved after 10 passes. During SC-ECAE,the main textures of IF steel included { 111} ,{ 110} ,{ 112} ,{ 110} ,and { 110} At an early stage,increasing dislocations induce new textures and increase intensity. When the deformation continues,low-angle boundaries are formed betw een dislocation cell bands,w hich cause some dislocation cell bands to change their orientation,and therefore,the intensity of the textures begins to decrease. After more passes,the intensity of textures continues to decrease w ith high-angle boundaries,and the sub-grains in dislocation cell bands continuously increase. The present study reports the evolution of textures during deformation; these w ere examined and characterized using high-resolution electron backscattered diffraction( EBSD) in a field emission scanning electron microscope. The mechanisms of texture evolution are discussed. 展开更多
关键词 severe plastic deformation semicontinuous equal-channel angular extrusion interstitial-free steel texture evolution electron backscattered diffraction
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Upper and Lower Semicontinuity of Solution Sets for Parametric Generalized Vector Quasi-equilibrium Problems
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作者 LI AI-QIN FAN LI-YA 《Communications in Mathematical Research》 CSCD 2011年第1期1-5,共5页
In this paper, two kinds of parametric generalized vector quasi-equilibrium problems are introduced and the relations between them are studied. The upper and lower semicontinuity of their solution sets to parameters a... In this paper, two kinds of parametric generalized vector quasi-equilibrium problems are introduced and the relations between them are studied. The upper and lower semicontinuity of their solution sets to parameters are investigated. 展开更多
关键词 parametric generalized vector quasi-equilibrium problem solution set upper semicontinuity lower semicontinuity set-valued mapping
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LOWER SEMICONTINUITY OF A CLASS OF FUNCTIONALSIN SBV_H
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作者 SongYingqing YangXiaoping LongFei 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第1期27-34,共8页
In this paper lower semicontinuity of the functional I(u)=∫_Ωf(x,u,Δ~ _Hu)dx is investigated for f being a Carathéodory function defined on Hn×R×R^2n and for u∈SBV_H(Ω),where Hn is the Heisenberg g... In this paper lower semicontinuity of the functional I(u)=∫_Ωf(x,u,Δ~ _Hu)dx is investigated for f being a Carathéodory function defined on Hn×R×R^2n and for u∈SBV_H(Ω),where Hn is the Heisenberg group with dimension 2n+1,ΩHn is an open set and Δ~ _Hu denotes the approximate derivative of the absolute continuous part Da_Hu with respect to D_Hu.In addition,a Lusin type approximation theorem for a SBV_H function is proved. 展开更多
关键词 lower semicontinuity SBV_H function Heisenberg group Lusin approximation.
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UPPER SEMICONTINUITY OF ATTRACTORS FORTHE REACTION DIFFUSION EQUATION
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作者 郭柏灵 王碧祥 《Acta Mathematica Scientia》 SCIE CSCD 1998年第2期139-145,共7页
This paper deals with the reaction diffusion equation in domain, Omega = R or Omega = (-L, L) with L < infinity. Let A(L) and A be the global attractor of this equation corresponding to Omega = (-L,L) and Omega = R... This paper deals with the reaction diffusion equation in domain, Omega = R or Omega = (-L, L) with L < infinity. Let A(L) and A be the global attractor of this equation corresponding to Omega = (-L,L) and Omega = R, respectively. It is showed that the global attractor A is upper semicontinuity at 0 with respect to the sets {A(L)} in some sense. 展开更多
关键词 global attractor upper semicontinuity reaction diffusion equation
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半参数双重Tweedie复合泊松回归模型的贝叶斯分析 被引量:1
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作者 段星德 伍震寰 +1 位作者 张钟妮 张文专 《应用数学》 北大核心 2024年第1期272-279,共8页
为了分析健康保险行业中出现的半连续卫生保健费用数据,本文提出一类半参数双重Tweedie复合泊松回归模型.在分析中,首先采用修正鞍点逼近的数值方法去近似Tweedie复合泊松分布的密度函数;其次,利用Gibbs抽样技术和Metropolis-Hastings(... 为了分析健康保险行业中出现的半连续卫生保健费用数据,本文提出一类半参数双重Tweedie复合泊松回归模型.在分析中,首先采用修正鞍点逼近的数值方法去近似Tweedie复合泊松分布的密度函数;其次,利用Gibbs抽样技术和Metropolis-Hastings(MH)算法的混合算法获得了模型参数的联合贝叶斯估计;最后,给出了几个模拟研究以及把这些方法用来分析兰德健康保险实验中的卫生保健费用数据. 展开更多
关键词 卫生保健利用 复合泊松分布 半连续数据 MH算法 GIBBS抽样 贝叶斯P-样条
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基于集成计算平台的高强韧铝合金半连铸工艺优化 被引量:1
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作者 张增硕 何生平 +5 位作者 詹磊 王新璋 王贤年 王依山 单长智 郝海 《铸造技术》 CAS 2024年第5期479-486,共8页
基于集成计算材料工程(ICME)思想,使用数字化集成计算平台依托ProCAST仿真模拟软件、MATLAB数值分析软件,并使用最优化方法中序列(逐步)二次规划法(SQP),优化了半连续铸造制备直径254 mm的7050铝合金圆锭工艺,得到较优铸造温度为690℃,... 基于集成计算材料工程(ICME)思想,使用数字化集成计算平台依托ProCAST仿真模拟软件、MATLAB数值分析软件,并使用最优化方法中序列(逐步)二次规划法(SQP),优化了半连续铸造制备直径254 mm的7050铝合金圆锭工艺,得到较优铸造温度为690℃,所得铸锭的残余应力值最小。与传统优化方式,即逐步调整工艺参数并分析模拟结果的方法相比,数字化集成平台迭代进行工艺寻优的效率提高了1倍。在此优化工艺下得到铸锭的屈服强度为218 MPa,抗拉强度为336 MPa。 展开更多
关键词 7050铝合金 半连续铸造 集成计算材料工程 工艺优化
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Comparative study of nudged elastic band and molecular dynamics methods for diffusion kinetics in solid-state electrolytes
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作者 林啊鸣 石晶 +1 位作者 魏苏淮 孙宜阳 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第8期96-100,共5页
Considerable efforts are being made to transition current lithium-ion and sodium-ion batteries towards the use of solid-state electrolytes.Computational methods,specifically nudged elastic band(NEB)and molecular dynam... Considerable efforts are being made to transition current lithium-ion and sodium-ion batteries towards the use of solid-state electrolytes.Computational methods,specifically nudged elastic band(NEB)and molecular dynamics(MD)methods,provide powerful tools for the design of solid-state electrolytes.The MD method is usually the choice for studying the materials involving complex multiple diffusion paths or having disordered structures.However,it relies on simulations at temperatures much higher than working temperature.This paper studies the reliability of the MD method using the system of Na diffusion in MgO as a benchmark.We carefully study the convergence behavior of the MD method and demonstrate that total effective simulation time of 12 ns can converge the calculated diffusion barrier to about 0.01 eV.The calculated diffusion barrier is 0.31 eV from both methods.The diffusion coefficients at room temperature are 4.3×10^(-9) cm^(2)⋅s^(−1) and 2.2×10^(-9) cm^(2)⋅s^(−1),respectively,from the NEB and MD methods.Our results justify the reliability of the MD method,even though high temperature simulations have to be employed to overcome the limitation on simulation time. 展开更多
关键词 nudged elastic band method molecular dynamics solid electrolyte ion transport density func-tional theory
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表达猪瘟病毒E2蛋白的重组杆状病毒反应器工艺研究
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作者 陈晓 李伟国 +4 位作者 宋欢欢 苏晓蕊 王同燕 谭菲菲 田克恭 《中国动物传染病学报》 CAS 北大核心 2024年第2期49-57,共9页
为建立一套表达猪瘟病毒E2蛋白的重组杆状病毒反应器工艺,提高反应器上猪瘟病毒E2蛋白的表达量,以商业化培养基为基础,通过对关键营养组分添加量的DOE试验设计优化,获得一种组合补料配方,并在3 L反应器上对补料方式进行优化,以最大限度... 为建立一套表达猪瘟病毒E2蛋白的重组杆状病毒反应器工艺,提高反应器上猪瘟病毒E2蛋白的表达量,以商业化培养基为基础,通过对关键营养组分添加量的DOE试验设计优化,获得一种组合补料配方,并在3 L反应器上对补料方式进行优化,以最大限度提高细胞密度。进一步在反应器上摸索了通气策略,以精确调控猪瘟E2重组杆状病毒培养过程的营养代谢平衡,解决副产物乳酸和氨过度积累导致细胞活力下降的问题。首次使用半连续补料工艺与渗透压动态平衡相结合的补料策略以及定向调节通气的工艺模式,使猪瘟病毒E2蛋白的表达量由130 mg/L增加至520 mg/L,提高了3倍。将3 L反应器工艺在100 L反应器上进行了连续3个批次的验证,结果猪瘟病毒E2蛋白的表达量均大于500 mg/L,收获猪瘟E2蛋白制备的疫苗抗体均在2周后转阳,且抗体水平持续上升,接种后8周抗体阻断率仍维持在80%左右。综上,3 L反应器工艺能够稳定放大至100 L反应器,建立了表达猪瘟病毒E2蛋白的重组杆状病毒100 L反应器工艺,且100 L反应器上重组蛋白的表达量稳定、免疫原性良好。 展开更多
关键词 猪瘟病毒 E2蛋白 重组杆状病毒 关键营养单元 半连续补料 定向调节
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α-预不变凸函数的若干性质 被引量:10
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作者 王海英 符祖峰 何芝 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2015年第3期99-105,共7页
考虑了一类广义凸函数——α-预不变凸函数,利用中间点的α-预不变凸性,讨论了α-预不变凸函数与半连续函数之间的关系,得到了α-预不变凸函数的一些性质.
关键词 α-预不变凸函数 上半连续 下半连续
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7050合金半连续铸锭中结晶相及其均匀化处理 被引量:23
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作者 高凤华 李念奎 +2 位作者 丛福官 田妮 赵刚 《稀有金属》 EI CAS CSCD 北大核心 2008年第3期274-278,共5页
采用DSC、金相、扫描电镜及能谱分析、X射线衍射相分析等方法,研究了7050合金Φ200mm半连续铸锭的结晶相及其在470℃均匀化处理过程的变化规律。结果表明:7050合金半连续铸锭中存在大量非平衡凝固共晶体,其过烧温度为477℃,共晶体中的... 采用DSC、金相、扫描电镜及能谱分析、X射线衍射相分析等方法,研究了7050合金Φ200mm半连续铸锭的结晶相及其在470℃均匀化处理过程的变化规律。结果表明:7050合金半连续铸锭中存在大量非平衡凝固共晶体,其过烧温度为477℃,共晶体中的非基体共晶相为MgZn2型晶体结构的含AlZnMgCu元素的非平衡第二相;在均匀化处理过程中,该非平衡凝固共晶体不仅向合金基体溶解还转变成Al2CuMg(S相),S相在该合金中的熔化温度为490℃左右;在470℃均匀化处理时,半连续铸锭中含Zn结晶相于12h前全部消失,其中部分形成S相,但在470℃均匀化处理时,S相不能完全溶入合金基体。铸锭中还存在少量的块状Al7Cu2Fe相,该相在均匀化处理过程中基本保持不变。 展开更多
关键词 7050铝合金 半连续铸锭 均匀化处理 结晶相
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预不变凸模糊数值函数及其应用 被引量:9
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作者 巩增泰 白玉娟 《西北师范大学学报(自然科学版)》 CAS 北大核心 2010年第1期1-5,共5页
利用本文所定义的上(下)半连续,在一种新序意义下讨论了预不变凸模糊数值函数的若干判定定理.特别地,给出了预不变凸模糊数值函数的刻划定理.最后,作为应用,讨论了一类模糊数学规划问题的严格局部最优解和全局最优解存在的条件.
关键词 模糊数 上半连续 下半连续 预不变凸性
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露天煤矿半连续工艺关键技术研究 被引量:10
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作者 王喜富 张幼蒂 +2 位作者 才庆祥 车兆学 尚涛 《中国矿业大学学报》 EI CAS CSCD 北大核心 1998年第4期402-405,共4页
针对我国露天煤矿的特点及半连续工艺系统的构成方式,研究了该系统中的若干关键技术问题,包括半连续工艺系统设置技术及环节专题技术,从而提高了半连续工艺在我国露天矿山的应用范围及矿山的经济效益.
关键词 露天煤矿 半连续工艺 关键技术 采煤
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高固含量微乳液聚合的研究 被引量:12
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作者 刘意 张力 +1 位作者 刘敬芹 朱志博 《精细化工》 EI CAS CSCD 北大核心 2002年第12期729-731,共3页
采用半连续微乳液聚合法,在复合型乳化剂体系中,进行高固含量微乳液的研究,结果表明,当SDS(十二烷基硫酸钠)与DNS6(乙烯基烷基酚聚氧乙烯磺酸盐)的质量比等于2时,制备了固体质量分数为42%,总乳化剂质量分数为2%的高固含量聚丙烯酸酯微... 采用半连续微乳液聚合法,在复合型乳化剂体系中,进行高固含量微乳液的研究,结果表明,当SDS(十二烷基硫酸钠)与DNS6(乙烯基烷基酚聚氧乙烯磺酸盐)的质量比等于2时,制备了固体质量分数为42%,总乳化剂质量分数为2%的高固含量聚丙烯酸酯微乳液。TEM图片显示,随固含量的增加,乳胶粒子的尺寸变大,分布变宽。 展开更多
关键词 高固含量 微乳液聚合 研究 半连续法 复合乳化剂
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拟半连续格和交半连续格 被引量:8
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作者 伍秀华 李庆国 《模糊系统与数学》 CSCD 北大核心 2008年第6期11-16,共6页
作为半连续格的推广,引入了拟半连续格的概念。讨论了拟半连续格的基本性质。在拟半连续格上得到了类似于拟连续偏序集的一些主要结果。同时探讨了半连续格、拟半连续格、交半连续格、交连续格、强连续格几种不同结构之间的关系。最后,... 作为半连续格的推广,引入了拟半连续格的概念。讨论了拟半连续格的基本性质。在拟半连续格上得到了类似于拟连续偏序集的一些主要结果。同时探讨了半连续格、拟半连续格、交半连续格、交连续格、强连续格几种不同结构之间的关系。最后,讨论了半连续函数空间仍是半连续格的条件。 展开更多
关键词 〈=-关系 拟半连续格 交半连续格 强半连续映射 函数空间
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有机硅-丙烯酸酯乳液聚合稳定性研究 被引量:12
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作者 周新华 涂伟萍 夏正斌 《精细化工》 EI CAS CSCD 北大核心 2003年第7期434-436,445,共4页
采用种子乳液聚合工艺,以过硫酸铵为引发剂、十二烷基二苯醚二磺酸钠(DOWFAX2A1)/辛基酚聚氧乙烯(40)醚(TRIONX-405)为复合乳化剂合成了乙烯基 三(2 甲氧基乙氧基)硅烷(A-172)改性丙烯酸酯聚合物。研究了单体加入方式、乳化剂用量、聚... 采用种子乳液聚合工艺,以过硫酸铵为引发剂、十二烷基二苯醚二磺酸钠(DOWFAX2A1)/辛基酚聚氧乙烯(40)醚(TRIONX-405)为复合乳化剂合成了乙烯基 三(2 甲氧基乙氧基)硅烷(A-172)改性丙烯酸酯聚合物。研究了单体加入方式、乳化剂用量、聚合温度、pH值等对聚合稳定性的影响。结果表明,当总乳化剂质量分数为3 0%、聚合温度为75~80℃、pH=6 5~7 5时,采用净单体滴加法制备聚合物的聚合过程稳定性较好;增加A-172用量,聚合稳定性降低。 展开更多
关键词 有机硅氧烷 聚合稳定性 硅丙乳液 半连续法
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