In this paper, necessary and sufficient conditions for a closed range composition operator CФ on the general family of holomorphic function spaces F（p,q,s） and more generally on α-Besov type spaces F（p,αp-2,s） ...In this paper, necessary and sufficient conditions for a closed range composition operator CФ on the general family of holomorphic function spaces F（p,q,s） and more generally on α-Besov type spaces F（p,αp-2,s） are given. We give a Carleson measure characterization on F （p, αp - 2, s） spaces, then we indicate how Carleson measures can be used to characterize boundedness and compactness of CФ on F（p,q,s） and F（p,αp- 2,s） spaces.展开更多
In this paper, using incremental equilibrium equation, the authors have studiedthe effeet of ultimate bearing capacity of every component on structuralstability, and discussed the stability analysis method for space c...In this paper, using incremental equilibrium equation, the authors have studiedthe effeet of ultimate bearing capacity of every component on structuralstability, and discussed the stability analysis method for space compositestructures. With the help of the test results for the concrete filled ateel tubeskeleton of the long-spen RC arch bridse, it is proved that the proposed methodis accurate and reliable.展开更多
Some new coincidence theorems involving a new class of set-valued mappingscontaining composites of acyclic mappings defined on a contractible space are proved.As applications, some existence theorems of maximal elemen...Some new coincidence theorems involving a new class of set-valued mappingscontaining composites of acyclic mappings defined on a contractible space are proved.As applications, some existence theorems of maximal elements and solutions of abstract variational inequalities, and best approximation theorems are proved. These theorems improve and generalize a number of known results in recent literature.展开更多
A theory invoking concepts from differential geometry of generalized Finsler space in conjunction with diffuse interface modeling is described and implemented in finite element(FE)simulations of dual-phase polycrystal...A theory invoking concepts from differential geometry of generalized Finsler space in conjunction with diffuse interface modeling is described and implemented in finite element(FE)simulations of dual-phase polycrystalline ceramic microstructures.Order parameters accounting for fracture and other structural transformations,notably partial dislocation slip,twinning,or phase changes,are dimensionless entries of an internal state vector of generalized pseudo-Finsler space.Ceramics investigated in computations are a boron carbide-titanium diboride(B4C-TiB2)composite and a diamond-silicon carbide(C-SiC)composite.Deformation mechanisms-in addition to elasticity and cleavage fracture in grains of any phase-include restricted dislocation glide(TiB2 phase),deformation twinning(B4C and-SiC phases),and stress-induced amorphization(B4C phase).The metric tensor of generalized Finsler space is scaled conformally according to dilatation induced by cavitation or other fracture modes and densification induced by phase changes.Simulations of pure shear consider various morphologies and lattice orientations.Effects of microstructure on overall strength of each composite are reported.In B4C-TiB2,minor improvements in shear strength and ductility are observed with an increase in the second phase from 10 to 18%by volume,suggesting that residual stresses or larger-scale crack inhibition may be responsible for toughness gains reported experimentally.In diamond-SiC,a composite consisting of diamond crystals encapsulated in a nano-crystalline SiC matrix shows improved strength and ductility relative to a two-phase composite with isolated bulk SiC grains.展开更多
Based on the generalized landscape perspective, regional connotation of urban river landscape is expanded. The area connotation of urban river landscape is expanded based on the generalized landscape perspective. In a...Based on the generalized landscape perspective, regional connotation of urban river landscape is expanded. The area connotation of urban river landscape is expanded based on the generalized landscape perspective. In addition to natural and functional attributes, river landscape should be regarded as a regional space element based on heterogeneous space scale. First, as for research method system, the space research models(including ecological footprint, space planning, and landscape pattern index, etc.) coupled with different angle scales and interdisciplinary theory, are utilized to study different correlations and results formed by urban river landscape elements and other regional space elements from the perspective of the regional ecological space, and the overall development goal of the urban river landscape pattern based on the goals of the regional ecological space planning is obtained. Second, the oriented urban river landscape planning and the "M" type close-tonature design strategy are evaluated through the city function zoning orientation and micro-scale urban river landscape pattern index. The research realizes the compatibility of overall goals in terms of the regional ecology, the development of urban functional areas, and the river landscape planning, without losing micro difference and maneuverability based on the urban river landscape planning and design oriented strategy, which innovates the new approach of urban river landscape planning and design with sustainable and balanced development of regional resources, multi-scale, and multiple objectives.展开更多
文摘In this paper, necessary and sufficient conditions for a closed range composition operator CФ on the general family of holomorphic function spaces F（p,q,s） and more generally on α-Besov type spaces F（p,αp-2,s） are given. We give a Carleson measure characterization on F （p, αp - 2, s） spaces, then we indicate how Carleson measures can be used to characterize boundedness and compactness of CФ on F（p,q,s） and F（p,αp- 2,s） spaces.
文摘In this paper, using incremental equilibrium equation, the authors have studiedthe effeet of ultimate bearing capacity of every component on structuralstability, and discussed the stability analysis method for space compositestructures. With the help of the test results for the concrete filled ateel tubeskeleton of the long-spen RC arch bridse, it is proved that the proposed methodis accurate and reliable.
文摘Some new coincidence theorems involving a new class of set-valued mappingscontaining composites of acyclic mappings defined on a contractible space are proved.As applications, some existence theorems of maximal elements and solutions of abstract variational inequalities, and best approximation theorems are proved. These theorems improve and generalize a number of known results in recent literature.
文摘A theory invoking concepts from differential geometry of generalized Finsler space in conjunction with diffuse interface modeling is described and implemented in finite element(FE)simulations of dual-phase polycrystalline ceramic microstructures.Order parameters accounting for fracture and other structural transformations,notably partial dislocation slip,twinning,or phase changes,are dimensionless entries of an internal state vector of generalized pseudo-Finsler space.Ceramics investigated in computations are a boron carbide-titanium diboride(B4C-TiB2)composite and a diamond-silicon carbide(C-SiC)composite.Deformation mechanisms-in addition to elasticity and cleavage fracture in grains of any phase-include restricted dislocation glide(TiB2 phase),deformation twinning(B4C and-SiC phases),and stress-induced amorphization(B4C phase).The metric tensor of generalized Finsler space is scaled conformally according to dilatation induced by cavitation or other fracture modes and densification induced by phase changes.Simulations of pure shear consider various morphologies and lattice orientations.Effects of microstructure on overall strength of each composite are reported.In B4C-TiB2,minor improvements in shear strength and ductility are observed with an increase in the second phase from 10 to 18%by volume,suggesting that residual stresses or larger-scale crack inhibition may be responsible for toughness gains reported experimentally.In diamond-SiC,a composite consisting of diamond crystals encapsulated in a nano-crystalline SiC matrix shows improved strength and ductility relative to a two-phase composite with isolated bulk SiC grains.
基金Sponsored by National Natural Science Foundation of China(NSFC)(51208428)Applied Basic Research Program of Sichuan Province(2013JY0038)+1 种基金Sichuan Research Center for Landscape and Recreation Research Project(JGYQ201419)Central University Fundamental Research Funds for Science and Technology Innovation Project(SWJTU11CX158)
文摘Based on the generalized landscape perspective, regional connotation of urban river landscape is expanded. The area connotation of urban river landscape is expanded based on the generalized landscape perspective. In addition to natural and functional attributes, river landscape should be regarded as a regional space element based on heterogeneous space scale. First, as for research method system, the space research models(including ecological footprint, space planning, and landscape pattern index, etc.) coupled with different angle scales and interdisciplinary theory, are utilized to study different correlations and results formed by urban river landscape elements and other regional space elements from the perspective of the regional ecological space, and the overall development goal of the urban river landscape pattern based on the goals of the regional ecological space planning is obtained. Second, the oriented urban river landscape planning and the "M" type close-tonature design strategy are evaluated through the city function zoning orientation and micro-scale urban river landscape pattern index. The research realizes the compatibility of overall goals in terms of the regional ecology, the development of urban functional areas, and the river landscape planning, without losing micro difference and maneuverability based on the urban river landscape planning and design oriented strategy, which innovates the new approach of urban river landscape planning and design with sustainable and balanced development of regional resources, multi-scale, and multiple objectives.
