Molecular Integral for the Double Electron-Repulsion Potential： A Closed Form Underived for Forty Years

A closed form of the title integral formula over the Gaussian-type orbitals is derived for the first time. The present closed form is analytical as the multiple hyper-geometric function of five variables.

Crack Propagation Path in Two-Directionally Graded Composites Subjected to Mixed-Mode Ⅰ+Ⅱ Loading

Crack propagation path in two-directionally graded composites was investigated by the finite element method.A graded extended finite element method(XFEM)was employed to calculate displacement and stress fields in cracked graded structures.And a post-processing subroutine of interaction energy integral was implemented to extract the mixed-mode stress intensity factors(SIFs).The maximum hoop stress(MHS)criterion was adopted to predict crack growth direction based on the assumption of local homogenization of asymptotic crack-tip fields in graded materials.Effects of material nonhomogeneous parameters on crack propagation paths were also discussed in detail.It is shown that the present method can provide relatively accurate predictions of crack paths in two-directionally graded composites.Crack propagates in the decreasing direction of effective Young′s modulus.The shape and steepness of property gradient perpendicular to the crack surface have great influences on crack paths.Through redesigning material property reasonably,crack growth in graded material can be changed to improve mechanical behaviours of cracked structures.

Driving factors and innovation paths of rural tourism transformation and upgrading under the background of industrial integration:From the perspective of ecological integration of culture and tourism

This paper analyzes the interactive process of the integration of ecological agriculture and cultural tourism industry from the aspects of rural tourism products,technology and market,and points out that the integration of tourism products constitutes the basis of industrial integration;The integration of technology plays a role in the whole process of industrial integration development;Market level integration is the core goal of industrial integration development.Then,it explains the driving factors of the integrated development of the two industries from two aspects:the relevance of the two industries,the diversification of demand and the diversity of investment constitute the internal driving force of the integration of cultural tourism industry and ecological agriculture under the background of rural revitalization;Multiple factors,such as policy guidance,economic drive and technological innovation,together constitute the external driving force for the integration of cultural tourism industry and ecological agriculture under the background of rural revitalization.On this basis,it puts forward the path of the integrated development of innovative cultural tourism industry and ecological agriculture from six aspects:first,the government actively guides and constructs a perfect policy support system;Second,the development of industrial projects create basic conditions for industrial integration;Third,to strengthen publicity and promotion,strengthen industrial integration and form brand effect;Fourth,to encourage scientific and technological innovation and provide technical support for industrial integration;Fifth,to build industrial alliance and help industrial integration through multi-dimensional cooperation;Sixth,to promote the construction of legal system and build a perfect market access system.

Towards Interaction,Communication and Integration of Ethnic Groups with Commonality:A Comparison of Inner Mongolia,Guangxi and Ningxia Autonomous Region

One crucial measure of strengthening and advancing the Party's work on ethnic affairs in the new era is to promote interaction,communication and integration of various ethnic groups,so as to enhance commonality.Entering the new era,Inner Mongolia,Guangxi and Ningxia have achieved remarkable results in encouraging interaction,communication and integration of various ethnic groups.By comparatively analyzing successes of the three autonomous regions through the perspective of promoting commonality,this article summarizes the following strategic revelations:1)we should comprehensively implement the Party's ethnic policies and ensure theactual implementation of mutual interaction,mutual communication and mutual integration of ethnic groups;2)we should proactively promote the substantial progress of the economy,so as to provide solid material foundation for mutual interaction,mutual communication and mutual integration of ethnic groups;3)we should facilitate activities that promote ethnic unity and progress,so that the promotion of interaction,communication and mutual integration of ethnic groups can be seen,be felt and gain actual outcomes;4)we should take measures that suit to local conditions and explore all-round embedding mechanisms in order to foster the ethos for mutual interaction,mutual communication and mutual integration of ethnic groups;5)we should make every effort to forge a strong sense of community for the Chinese nation and orient precisely to the cause of encouraging mutual interaction,mutual communication and mutual integration of ethnic groups.

中华各民族共有祖先崇拜神话研究

The ancestor worship myths of various ethnic groups in China constitute the common ancestor worship mythological system of the Chinese nation after long-term interactions,exchanges and integration.By conducting diachronic and synchronic comparative studies between ancestor worship myths of the people in the Central Plains and those of other ethnic groups in the Southwest and Northeast regions,and by applying a dual perspective to the common ancestor worship theme of these myths,we find that the common ancestor worship mythology shared by various ethnic groups in China is not only the historical expression of the sense of community for the Chinese nation,but also the natural result of long-term interactions,exchanges and integration between people of the Central Plains and ethnic groups in the Southwest and Northeast.The common ancestor worship mythology shared by different ethnic groups in China can provide strong spiritual cohesion in building a shared spiritual home for the Chinese people and in forging a strong sense of community for the Chinese nation.

Reevaluating the conceptual framework for applied research on host-plant resistance

Applied research on host-plant resistance to arthropod pests has been guided over the past 60 years by a framework originally developed by Reginald Painter in his 1951 book, Insect Resistance in Crop Plants. Painter divided the ＂phenomena＂ of resistance into three ＂mechanisms,＂ nonpreference （later renamed antixenosis）, antibiosis, and tolerance. The weaknesses of this framework are discussed. In particular, this trichotomous framework does not encompass all known mechanisms of resistance, and the antixenosis and antibiosis categories are ambiguous and inseparable in practice. These features have perhaps led to a simplistic approach to understanding arthropod resistance in crop plants. A dichotomous scheme is proposed as a replacement, with a major division between resistance （plant traits that limit injury to the plant） and tolerance （plant traits that reduce amount of yield loss per unit injury）, and the resistance category subdivided into constitutive/inducible and direct/indirect subcategories. The most important benefits of adopting this dichotomous scheme are to more closely align the basic and applied literatures on plant resistance and to encourage a more mechanistic approach to studying plant resistance in crop plants. A more mechanistic approach will be needed to develop novel approaches for integrating plant resistance into pest management programs.

Fracture Analysis in Orthotropic Thermoelasticity Using Extended Finite Element Method

In this paper,a method for extracting stress intensity factors(SIFs)in orthotropic thermoelasticity fracture by the extended finite element method(XFEM)and interaction integral method is present.The proposed method is utilized in linear elastic crack problems.The numerical results of the SIFs are presented and compared with those obtained using boundary element method(BEM).The good accordance among these two methods proves the applicability of the proposed approach and conforms its capability of efficiently extracting thermoelasticity fracture parameters in orthotropic material.