Research Into The Methods For Modeling And Designing Non-natural Mechanical Properties Of Material Structure Using Complex Networks

The increasing requirement of product performance in modern manufacturing, especially in the field of mechanical engineering and aerospace, reveals a disadvantage that product composed of a single material has been unable to meet the harsh working environment demands for the applications of the materials. These requirements can not be fulfilled by existed materials found in nature, so designing and fabricating new materials has been an important subject.As a new material, non-natural mechanical properties material with its special design and excellent performance characteristics get more attention and develop rapidly. Non-natural mechanical properties material cannot be simply regarded as a kind of material, it has the mechanical properties that do not occurring naturally. The essence of composite materials is the structure. Therefore, for the structural design of materials require different from the conventional design, the integrated design of material and structure is the best way to effectively exert the advantage of non-natural mechanical properties material.The rise of complex network theory has introduced a new connotation for the study of network science and materials science, and injected a new driving force for the design of advanced composite materials. One of the important research directions, is to explore the interaction network between the particles inside the material, and study the interaction pattern between the micro topological structure and macroscopic properties of materials at the micro level of network structure.This paper has been mainly focused on the design of micro structure, and wants to explore the integrated design method of material and structure with complex network theory. Regarding the composite structure as a kind of artificial complex systems, this paper studied the topological structure of complex networks used in the field of complex systems designing as the main line, and focused on the microstructure designing of non-natural mechanical properties material in the engineering field. The main contents of this paper include the following three aspects:network modeling for complex systems, statistical properties of the network structure and the relationship between microstructure and macroscopic properties of complex systems.The research work mainly includes:(1) In order to describe the microstructure of non-natural mechanical properties material, we use the complex network modeling method and establish a structure network model for describing the microstructure topology of material.This paper used metastructure method for the design and analysis of non-natural Mechanical Properties material. Taking the typical non-natural Mechanical Properties of negative Poisson’s ratio as an example, it has proposed an iterative construction process of metastructure based on the self-similarity of complex networks, analyzing the auxetic performance of metastructure, and discussed the influence of metastructure model parameters for the equivalent Poisson’s ratio using finite element simulation.Non-natural mechanical properties material viewed as consisting of different particles are combined to form a complex material at the microscopic level, where the connections between particles in the entire system is not uniformly distributed. For the description of the microscopic structure of this material, a structure network model of non-natural mechanical properties material is established where the nodes represent different particles and links describe the interactions between particles. Regardless of the actual material particles form, the network topology of this structure model follow the different arrangement between particles. Different network topology structure will play a very important and even decisive impact on the overall performance of the composite materials.(2) According to the metastructure parameter constraint problem, this paper has established parameter constraint model and conducted empirical research on topology properties in order to simulate parameter constraint relation between metastructure.The parameter constraint relationship between metastructure in the product variant design is considered with a variety of forms. This paper proposes an analytical method of metastructure parameter constraint model, and analyzes the complexity of parameter constraint relation network to explore the transfer structure and evolution from the perspective of unweighted and weighted network respectively. At the same time from the perspective of community detection by calculating the similarity of nodes, it analyzes the structural similarity between nodes and uses clustering method to achieve the division of the module structure, providing theoretical support for the product modular design.(3) We studies the evolution of network game theory, and applied to the structure design of composite material, which forms a new design method of non-natural mechanical properties material.In this paper, we innovatively introduced the evolutionary game theory into structure design process of non-natural mechanical properties material. Based on the tradition prisoner’s dilemma game model, we studied the spatial evolution game behavior successively on the two-dimensional regular networks, small-world networks and scale-free networks. The introduction of spatial network structure will lead to the coexistence of cooperator and defector, even the entire population was occupied by collaborators, which are distinct from the tradition prisoner’s dilemma game.On the basis of research on complex network evolution game, a composite structure game model is first proposed in this paper. For purpose of analysis of micro topology structure of the non-natural mechanical properties material, the composite structure game model, which is based on a mixed strategy network evolution game to describe the distribution of the material component, forms a new design method of non-natural mechanical properties material and achieves the organic combination of geometry and material properties of non-natural mechanical properties material.(4) We designed and developed a micro-structural design system of the non-natural mechanical properties material in this paper.Traditional computer-aided design (CAD) software systems cannot describe the composite material entities with heterogeneous material distribution. To solve this problem, we carried out the new CAD software system development work from two aspects which including the information description of geometry topology and material distribution, and designed voxel model file format VMF which is based on XML language. VMF format can simultaneously store geometry and material information of entity models. A structure design system platform of non-natural mechanical properties material, also called NMP Design, is developed to make up for the shortcomings of traditional CAD software system cannot describe the composite entity.Complex network theory has a good application prospect in the field of non-natural mechanical properties material design, the research work of this paper has made a meaningful exploration for using complex network to guide the design of material microstructure and optimization, the research methods has a certain significance for structural design of metamaterial.