ORIENTATION DISTRIBUTION FUNCTIONS FOR MICROSTRUCTURES OF HETEROGENEOUS MATERIALS (Ⅰ) ──DIRECTIONAL DISTRIBUTION FUNCTIONS AND IRREDUCIBLE TENSORS

In this two_part paper, a thorough investigation is made on Fourier expansions with irreducible tensorial coefficients for orientation distribution functions (ODFs) and crystal orientation distribution functions (CODFs), which are scalar functions defined on the unit sphere and the rotation group, respectively. Recently it has been becoming clearer and clearer that concepts of ODF and CODF play a dominant role in various micromechanically_based approaches to mechanical and physical properties of heterogeneous materials. The theory of group representations shows that a square integrable ODF can be expanded as an absolutely convergent Fourier series of spherical harmonics and these spherical harmonics can further be expressed in terms of irreducible tensors. The fundamental importance of such irreducible tensorial coefficients is that they characterize the macroscopic or overall effect of the orientation distribution of the size, shape, phase, position of the material constitutions and defects. In Part (Ⅰ), the investigation about the irreducible tensorial Fourier expansions of ODFs defined on the N_dimensional (N_D) unit sphere is carried out. Attention is particularly paid to constructing simple expressions for 2_ and 3_D irreducible tensors of any orders in accordance with the convenience of arriving at their restricted forms imposed by various point_group (the synonym of subgroup of the full orthogonal group) symmetries. In the continued work -Part (Ⅱ), the explicit expression for the irreducible tensorial expansions of CODFs is established. The restricted forms of irreducible tensors and irreducible tensorial Fourier expansions of ODFs and CODFs imposed by various point_group symmetries are derived.

ORIENTATION DISTRIBUTION FUNCTIONS FOR MICROSTRUCTURES OF HETEROGENEOUS MATERIALS (Ⅱ)──CRYSTAL DISTRIBUTION FUNCTIONS AND IRREDUCIBLE TENSORS RESTRICTED BY VARIOUS MATERIAL SYMMETRIES

The explicit representations for tensorial Fourier expansion of 3_D crystal orientation distribution functions (CODFs) are established. In comparison with that the coefficients in the mth term of the Fourier expansion of a 3_D ODF make up just a single irreducible mth_order tensor, the coefficients in the mth term of the Fourier expansion of a 3_D CODF constitute generally so many as 2m+1 irreducible mth_order tensors. Therefore, the restricted forms of tensorial Fourier expansions of 3_D CODFs imposed by various micro_ and macro_scopic symmetries are further established, and it is shown that in most cases of symmetry the restricted forms of tensorial Fourier expansions of 3_D CODFs contain remarkably reduced numbers of mth_order irreducible tensors than the number 2m+1 . These results are based on the restricted forms of irreducible tensors imposed by various point_group symmetries, which are also thoroughly investigated in the present part in both 2_ and 3_D spaces.

Analysis on Function Orientation and Development Countermeasures of New Agricultural Business Entities

Along with the rapid advance of industrialization and urbanization process, fostering new agricultural business entities become inevitable for agricultural transformation and the construction of agricultural modernization in China. The status of the new agricultural business entities determines the level of modern agricultural development. In recent years, new agricultural business entities have grew rapidly. However, there are still many problems including the difficulties in financing loans, inadequate agricultural insurance system, bad implementation of agricultural subsidies, jagged agricultural talents and so on. In order to foster new agricultural business entities, countermeasures should be carried out to ensure financial support, perfect the agricultural insurance, strengthen the level of agricultural subsidies, strive to develop the degree of specialization agricultural operators and so on.

Prediction of application scope of vertical fracture strike based on scattered wave fracture orientation function

Fracture system plays a very important role in the enrichment and accumulation of oil and gas in the reservoirs. Based on scattering wave information, Fracture Orientation Function （FOF） was built, which can be used to predict the fracture orientations. However, this method has only been verified by physical experiments without studies on the application scope. In this study, based on the linear sliding theory, F0F of the scattering wave was applied to the numerical simulation and the application scope was further studied according to fracture flexibility tensor. According to the fractures filled with gas and liquid, numerical simulation was conducted on the models with various fracture flexibilities. Numerical simulation results were used to inverse fracture orientation with the aid of the FOF of the scattering wave. The results show that it is workable to predict the vertical fracture orientation with the F0F of the scattering wave. Application of this method is more effective when the fractures are filled with gas than liquid. Moreover, the application scope can be predicted by the fracture flexibility.

NUMERICAL SIMULATION OF ORIENTATION DISTRIBUTION FUNCTION OF CYLINDRICAL PARTICLE SUSPENSIONS

The orientation distribution function of cylindrical particle suspensions was deduced and numerically simulated, and an application was taken in a wedge-shaped flow field. The relationship between the orientation distribution function and particle orientation angles was obtained. The results show that comparing with the most probable angle distribution which comes to being in short time, the distribution of the steady state doesn't vary much. in range; the main difference is the anti-clockwise rotation in the right and upper field, that is, particles rotate more at the points where the velocity gradients are larger. The most probable orientations are close to the direction of local streamlines. In the direction of streamlines, with poleradius decreasing, the most probable angles increase, but the angles between their orientations and the local streamlines decrease.

Direction-dependent functions of physical properties for crystals and polycrystals

Some physical properties of crystals differ in direction n because crystal lattices are often anisotropic. A polycrystal is an aggregate of numerous tiny crystallites. Unless the polycrystal is an isotropic aggregate of crystallites, the physical properties of the polycrystal vary with n. The direction-dependent functions （DDF） for crystals and polycrystals are introduced to describe the variations of the physical properties in direction n. Until now there are few papers dealing systematically with relations between the DDF and the crystalline orientation distribution. Herein we give general expressions of the DDF for crystals and polycrystals. We discuss the applications of the DDF in describing the physical properties of crystals and polycrystals.

Research on Functional Orientation and Industrial Distribution of Cruise Town in Baoshan District, Shanghai

Currently, the cruise market in North America is almost saturated and that in Europe is restricted by the scale. However, the cruise market prospect in East Asia is broad due to the deep cultural heritage, abundant tourism resources and large population base, resulting in the shift of the global cruise industry eastward to Asia. The position of Asia in the global cruise economy has become prominent increasingly. As a part of Shanghai, one of the most economically powerful coastal cities in China, Baoshan has national leading land, sea and air transportation networks, huge passenger flow and natural deep water terminals. Therefore, Shanghai steps in front in the development of cruise economy, shouldering the responsibility of a leader in the development of the national cruise industry. It will accelerate the growth of Shanghai＇s cruise industry to plan and construct the ＂cruise town＂ in Baoshan. In this paper, the author aims to further analyze the current construction orientation and development goal of the cruise town by studying the industrial base and analyzing the environment for the cruise town construction in Baoshan, explore the industrial distribution for the construction and development of the cruise town from the perspectives of tourism industry, leisure industry, finance and other service industries, and information industry, conduct in-depth analysis on the ideas about industrial distribution, and determine the system guarantee for industrial development so as to promote the healthy and orderly development of the cruise industry in China.

Major Function Oriented Zone: New Method of Spatial Regulation for Reshaping Regional Development Pattern in China

Newest planning methods implemented by Chinese government are promoting a coordinated regional development and shaping an orderly spatial structure by applying the regulation of territorial function. This article analyzes the problems of spatial planning and regional strategy caused by the wrongly-set primary goal of economic development; it states that the three-fold objective of competitiveness, sustainability, and welfare fairness shall be the principal for China to implement the spatial regulation in the new era; it discusses about theoretical thoughts and technology framework of conducting the ′Major Function Oriented Zone′ based on their different major functions that each region plays in urbanization and industrialization, ecological constructions, grain productions, and protection of natural and cultural heritages; it introduces the new concept of ′Major Function Oriented Zone′ that include the major functions category, the stereo regional equilibrium mode, the two-level zoning specification, and the territorial development intensity; it offers a zoning scheme that defines development-optimized and development-prioritized zones as regions with massive urbanization and industrialization, development-restricted zones as ecological constructing or grain producing regions, development-prohibited zones as natural and cultural heritage protecting regions; and finally it addresses the main obstacle for implementing ′Major Function Oriented Zone′, which is the institutional arrangement of the supreme goal of high GDP growth rate that is currently being implemented.

Influence of Rolling Reductions on Recrystallization Texture in Commercially Pure Al

The recrystallization texture in commercially pure Al is investigated after the samples are rolled differently and annealed.The samples with low rol- ling reductions could be generally recovered or recrystallized in situ and characterized by the re- tained G{110}<001>component.This recovery process decreases during annealing with the increase of reduction.The appearance of the B/R{359}. <132>and R{123}<634>components de- pending on the rolling reduction is investigated and the less developed Cube{100}<001>component in commercially pure ahninium is also discussed.

Study on the Comprehensive Tourism Development Pattern in Periphery Minority Area:A Case Study of Gannan Tibetan Autonomous Prefecture of Gansu Province, China

The paper took the human-land relations as a basic point, and the theories of tourism industry system and sustainable development as the guidance, with Gannan Tibetan Autonomous Prefecture （Gannan） as the case study area. From microcosmic and macroscopic viewpoints, the author carded out function orientation and evaluation to the tourism industry development, and research on the comprehensive tourism industry development pattern of Gannan. Results show that the fragile ecological environment and the traditional economic growth pattern have restricted regional sustainable development, and made Gannan to become a representative of the periphery minority areas in Northwest China. Tourism development of Gannan is at the primary phase, with the characteristics of short industry chain and low economic efficiency. It is an inevitable choice to transform the way of regional economic growth and the development pattern of tourism industry from the traditional pattern to the pattern of sustainable development. Simultaneously, Gannan＇s natural, national and religious culture makes Gannan a broad prospect on the comprehensive tourism development. Gannan should choose the comprehensive tourism industry as its scientific pattern to realize sustainable development, promote harmonious social, economic and ecological development, alleviate the human-land contradictory, and realize dual goals in terms of ecology construction and economical development. For Gannan and the similar areas in China, studies on the sustainable development pattern of tourism have extremely important strategic sense with respect to tourism development and the sustainable development of regional economy.

Rethinking about the Formulae of the Relationship between Euler Angles and Texture

The formulae of the relationships between Euler angles and texture are important for the orientation distribution functions of research materials.At present,it is found that the formulae for the orthogonal and hexagonal crystal structure proposed by Roe and Bunge are not in accord with the normal direction(ND)being perpendicular to the rolling direction(RD).In this paper,these formulae are deduced independently according to the notations proposed by Roe and Bunge.The results show that in addition to the coincidence with the formulae for the cubic crystal structure given by the Roe and Bunge,the other formulae are different from Roe’s and Bunge’s.The new formulae are in accord with ND,RD,and transverse direction(TD)at right angles.

Measuring coordination of economy-society and resource-environment based on major function oriented zoning: a case study of Pearl River Delta

A reasonable coordination degree assessment of the social-economic development level and the resource-environment quality level are essential to ident the key factory of the development, and vital to determine the appropriate development strategy and achieve sustainable development. The major function oriented zoning plays a role in spatial coordination mainly＇ by spatial guidance and restriction, so. the proposal of major function oriented zoning gives a new train of thought to generate a coordination evaluation of economy-society and the resource-environment system, From the view of major function oriented zoning that considers resource environmental bearing capacity, existing development density and development potential, this paper constructs an index system and model of coordination evahtation with a case study on Pearl River Delta. The results have shown： （I） It can reveal the conflicts of economic-social development and resource-environment quality to ac- curately consider resource environmental bearing capacity, existing development densio~ and development po- tential; （2） The coordination degree between social-economy system and resource-environment system in Pearl River Delta continued to decline in the past 10 years. The spatial extent of coordination evoh,es.from coordina- tion in the whole Pearl River Delta to imbalance in the core areas, and at present, the uncoordinated areas have already diffused from core areas to the outlying regions： （3） Most regions of the Pearl River Delta are in uncoordinated condition When considering the coordination degree of economic-social development and resollrceenvironment quality, not as coordinated as some scholars considered.

Urban Land-banking Planning:A New Instrument to Regulate Urban Land Supply-demand of Nanjing City

It is the major purpose of the paper to present the urban land-banking planning and its functions of promoting the urban land-banking system and land use administration.The urban land-banking system has the potential attribute of acting as an irreplaceable role in urban land administration,but its unexpected function-deviation has impacted its implementation effect in China.A few city governments are attempting to deal with the problem by the urban land-banking planning which is expected to contribute to the extension of urban function,optimization of urban patterns,promotion of urban core competitiveness and overall construction of the urban value chain.In this paper,we primarily discuss the necessity,functions,purposes and main contents of the urban land-banking planning.Subsequently,the implementing situation of the urban land-banking system in Nan- jing is analyzed,including its integrated mode,spatio-temporal quantitative distribution and main characteristics.Finally,the background and targets including total,compositions,space,and regulation points are gradually introduced to present the Nanjing land-banking planning version 2.

Textural Characteristic of 70-30 Brass Rolled by Cross Shear Rolling in Single Direction

70-30 brass is rolled with 90% reduction by cross shear rolling in single direction with speed ra- tio 1.39.The sheet is divided into five layers along rolling plane normal to measure macroscopic statis- tical unsymmetric textures in every layer are des- cribed and analysed by means of three dimensional orientation distribution function.The results indi- cate that the main textures in every layer of brass rolled by cross shear rolling in single direction are the same as the main textures of brass rolled by conventional rolling.But the intensities,peak posi- tions and scatters of every texture component in {110}<112>are different,namely,there is a macroscopic statistical unsymmetry.It is found that the textures in every layer of brass rolled by cross shear rolling in single direction can be considered as the textures of brass rolled by common rolling in single direction at identical shear forces,the macroscopic statistical unsymmetry depends on the shear forces which are exerted on the layer.

STUDY OF TEXTURE EFFECT ON STRAIN LOCALIZATION OF BCC STEEL SHEETS

Using elastic crystalline viscoplastic finite element (FE) annlysis, the formability of BCC steel sheets was assessed. An orientation probability assignment method in the FE modeling procedure, which can be categorized as an inhomogenized material modeling, was newly proposed. In the study, the crystal orientations of three materials, mild steel, dual phase steel and the high strength steel, were obtained by Xray diffraction and orientation distribution function (ODF) analyses. The measured ODF results have revealed clearly different textures in the sheets, featured by orientation fibers, skeleton lines and selected orientations in Euler angle space, which are closely related to the plastic anisotropy. Then, the crystal orientations were assigned to FE integration points by using this ODF data, individually. The FE analyses of the standard limiting dome height (LDH) test show how the fiber textures affect the extent of strain localization in the forming processes. It was confirmed by comparison with experimental results that this FE code could predict the extreme strain localization and assess the sheet formability.

PREDICTION OF EARING IN TEXTURED ALUMINIUM SHEETS BASED ON CRYSTAL PLASTICITY

The phenomenon of earing is investigated in the present studybased on the theory of crystal plasticity with the dynamic explicityfinite element program developed. Firstly texture analysis is carriedout of rolled aluminum alloy A15052 by means of X-ray technique. Thenfrom the texture coefficients an analytical expression for theorientation distribution function (ODF) is derived making use of thecomputer algebraic language Mathematica4.0, which makes it easier todiscretize the ODF into a series of Eulerian angles repre- sentingthe distribution of lattices and further the preferred orientation(texture) of crystals of the original she- ets.

A Kind of Equivalence of Three Nonlinear Scalarization Functions in Vector Optimization

In this paper,by the notions of base functionals and augmented dual cones,the authors indicate firstly that the norms,Gerstewitz functionals and oriented distance functions have common characteristics with base functionals.After that,the equivalence of these three sublinear functions on the ordering cone is established by using the structures of augmented dual cones under the assumption that it has a bounded base.However,the authors show that two superlinear functions do not have similar relations with the norms ahead.More generally,the equivalence of three sublinear functions outside the negative cone has also been obtained in the end.

Measuring the past 20 years of urban-rural land growth in flood-prone areas in the developed Taihu Lake watershed, China

There is growing interest in using the urban landscape for stormwater management studies, where land patterns and processes can be important controls for the sustainability of urban development and planning. This paper proposes an original index of Major Hazard Oriented Level （MHOL） and investigates the structure distribution, driving factors, and controlling suggestions of urban-rural land growth in flood-prone areas in the Taihu Lake watershed, China. The MHOL of incremental urban-rural land increased from M 31.51 during the years 1985-1995 to M 38.37 during the years 1995-2010 （M for medium structure distribution, and the number for high-hazard value）. The index shows that urban-rnraI land was distributed uniformly in flood hazard levels and tended to move rapidly to high-hazard areas, where 72.68% of incremental urban-rural land was aggregated maximally in new urban districts along the Huning traffic line and the Yangtze River. Thus, the current accelerating growth of new urban districts could account for the ampliative exposure to high-hazard areas. New districts are driven by the powerful link between land financial benefits and political achievements for local governments and the past unsustainable process of ＂single objective＂ oriented planning. The correlation categorical analysis of the current development intensity and carrying capacity of hydrological ecosystems for sub-basins was used to determine four types of development areas and provide decision makers with indications on the future watershed- scale subdivision of Major Function Oriented Zoning implemented by the Chinese government.

Rare earth texture analysis of rectangular extruded Mg alloys and a comparison of different alloying adding ways

The microstructures and textures of four rectangular extruded Mg alloys, Mg-3Gd, Mg-3Nd, Mg-1Gd-1Nd and Mg-1.5Gd-1.5Nd（all in wt%） were investigated by using optical microscopy（OM）, X-ray diffraction（XRD） and electron backscatter diffraction（EBSD）. The results demonstrate that the extruded alloys all reveal fully recrystallized microstructure and weak non-basal texture.For textures of the four extruded alloys, it is shown that the basal planes of majority grains tilt away from the sheet plane normal toward the extrusion direction. Compared with two binary alloys, the ternary alloys possess weaker texture strengths. Through orientation distribution function analysis, two types of rare earth textures, {0113} 〈0223〉and {1215} 〈1213〉, were found in the extruded alloys.Texture component {1215} 〈1213〉 is relatively weak, but it plays a critical role in the low texture intensities of two ternary alloys. A pairing effect of Gd and Nd elements has an influence on the texture modification. Additionally,there is a difference in the sensitivities of experimental parameters between the microstructure and texture.

1Chinese human geography and its contributions

The aim of this paper is to sift through examples of outstanding contributions made by Chinese human geography in terms of social applications and explain the basic concepts and theoretical methods explored by human geography that are behind the applications of results with major social influence, so as to be able to summarize the main school that represents developments in contemporary Chinese human geography. Chinese human geography upholds the subject＇s designation as being integrated and interdisciplinary. Research focuses on interactions between the natural and human spheres of the Earth＇s surface, and it is guided by the understanding and effects of the processes of regional sustainable development at different spatial scales. Chinese human geography has innovatively established the following development paradigm： ＂To be guided by application requirements, refine key issues of the discipline in the course of solving major issues of human geography in national and regional development, and by solving those key issues, to enhance its ability to provide scientific and technological support to serve national and local needs while promoting its own development.＂ Results from early Chinese human geography studies on land use and agricultural zoning, recent research results on point-axis system models and T-shaped national spatial development patterns, and current research results on territorial function theory and major function oriented zones have all continued and strengthened the mainstream school of Chinese human geography and have avoided the global tendency for human geography to become rapidly human-oriented, while results have been applied at the highest level of decision-making management. Chinese human geography can provide lessons for developing countries and may play a leading role in the future development of global human geography.