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Fuzzy子格与Fuzzy同态 被引量:9
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作者 明平华 《模糊系统与数学》 CSCD 1995年第1期57-63,共7页
每个代数结构一般都可引入相应的Fuzzy子结构,为了进一步研究Fuzzy子格以及Fuzzy同态的各种性质,本文引入了亚格的概念,并建立了Fuzzy子格与亚格的对应关系(定理1.7);给出了Fuzzy同态(同构)的分解... 每个代数结构一般都可引入相应的Fuzzy子结构,为了进一步研究Fuzzy子格以及Fuzzy同态的各种性质,本文引入了亚格的概念,并建立了Fuzzy子格与亚格的对应关系(定理1.7);给出了Fuzzy同态(同构)的分解定理(定理2.5和推论2.7);最后讨论了同余关系商格的Fuzzy子格问题,证明了在自然映射下,任一保序映射可以引导出商格中相应的Fuzzy子格,并由此引出了─Fuzzy商子格的概念。 展开更多
关键词 亚格 模糊子格 模糊同态 模糊点 模糊同构
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Crushing behaviors of buckling-induced metallic meta-lattice structures 被引量:2
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作者 Jian-hua Dong Yong-jun Wang +1 位作者 Feng-nian Jin Hua-lin Fan 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2022年第8期1301-1310,共10页
Thin-walled lattice materials can be applied as energy absorbers in protective structures of civil defense. In this paper, quasi-static in-plane crushing tests were carried out to investigate the crushing behavior and... Thin-walled lattice materials can be applied as energy absorbers in protective structures of civil defense. In this paper, quasi-static in-plane crushing tests were carried out to investigate the crushing behavior and energy absorption of buckling induced meta-lattice structures (BIMSs) with different central angles made of plastic iron material DT3 and formed by wire cutting technique. Three crushing patterns were revealed and analyzed. The test results clearly show that the initial peak force (IPF), the crushing force efficiency (CFE), the specific energy absorption (SEA) and the mean crushing force (MCF) can be substantially improved by introducing buckling pattern into the straight-walled lattice structure. The MCF of the BIMS was consistently predicted based on the simplified super folding element (SSFE) and the flattening element. 展开更多
关键词 Buckling induced meta-lattice structure (BIMS) Crushing force efficiency
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Design,manufacture and crushing behaviors of bucklinginspired auxetic meta-lattice structures 被引量:1
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作者 Jianhua Dong Gaoyuan Ye +2 位作者 Yongjun Wang Fengnian Jin Hualin Fan 《International Journal of Smart and Nano Materials》 SCIE EI 2021年第4期491-510,共20页
Introducing buckling pattern into straight-walled lattice structure,anovel buckling inspired lattice meta-structure(BILM)was designed and fabricated using polylactic acid(PLA)by three-dimensional(3D)printing technolog... Introducing buckling pattern into straight-walled lattice structure,anovel buckling inspired lattice meta-structure(BILM)was designed and fabricated using polylactic acid(PLA)by three-dimensional(3D)printing technology.The square lattice structure with positive Poisson’s ratio(PPR)is transformed into negative Poisson’s ratio(NPR)structure by buckling induction.Curved struts decrease the maximum strain,prohibit strut fracture,increase strut contact and induce ductile bending deformation.The meta-topology changes the crushing pattern from brittle layer-by-layer fracture,hybrid crushing pattern to stable plastic crushing when increasing the central angle from 0°to 120°.Buckling inspired meta-lattice structures can obviously improve the energy absorption(EA)performance through reducing the initial peak force(IPF)while increasing the EA,specific energy absorption(SEA)and crushing force efficiency(CFE).Ductile crushing endows BILM excellent EA. 展开更多
关键词 Auxetic meta-lattice crushing behavior analytical modeling
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Internalization of Foreign Ions into Meta-stable Lattices:a Case Study of Transition-metal-doped Brookite
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作者 黄新松 李莉萍 李广社 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2016年第8期1157-1166,共10页
The connections between the building units of meta-stable lattice were generally considered to be easily disturbed during the doping process, causing serious hindrances blocking the development of functional doped mat... The connections between the building units of meta-stable lattice were generally considered to be easily disturbed during the doping process, causing serious hindrances blocking the development of functional doped materials. In this work, the synthesis of doped brookite, a typical meta-stable phase of TiO2, has been explored novelly by in-situ adding of cations of VIIIB and IB,IIB elements in the 3rd period(Fe, Co, Ni, Cu, Zn) during the urea-lactate aided low-basicity hydrothermal process. The results showed that only Cu-doped brookite could be successfully synthesized with trace amount of copper intensively internalized into the brookite lattice, while the other dopants lead to the formation of anatase TiO2. Extensive characterizations indicated a two-step doping process, where copper ions were firstly dispersed in an amorphous layer on the lattice surface and then they were internalized into brookite lattice. Cu-doped brookite exhibited significantly enhanced photocatalytic activity in the phenol degradation under visible light compared to bare brookite. The enhancement of catalytic performance was assigned to the impurity band gap and the reduction of charge carriers' recombination introduced by the internalization of Cu ions. The investigation reported herein contributes to the understanding of complex ion-doping effects on the structures of meta-stable materials, and provides hints for obtaining other functional doped materials. 展开更多
关键词 meta-stable lattice doped materials brookite photocatalyst phenol degradation
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