基于夹杂边界元法的准晶体颗粒混合复合材料力学特性研究

准晶体颗粒混合复合材料是融合了准晶体材料优异的综合性能，具有广泛应用前景的新型复合材料。准晶体材料自身存在声子场和相位子场的耦合效应。为了有效地设计和优化准晶体颗粒混合复合材料，本项目利用等效夹杂法和边界元法，发展夹杂边界元法，探索准晶体颗粒细观分布规律对复合材料宏观性质影响的物理规律。.颗粒的存在及相互作用会显著影响复合材料的物理力学性质。由于准晶体颗粒混合复合材料本身的多尺度效应、耦合效应、各向异性，使得其力学行为和性能控制的研究十分有限。.本项目利用理论分析和数值模拟，辅以实验验证，着力于建立多相、多尺度、多场耦合的准晶体颗粒混合复合材料的力学模型。分析准晶体颗粒形状，颗粒与颗粒、颗粒与边界相互干涉对准晶体颗粒混合复合材料力学行为的影响，揭示新的物理力学规律，深化对其力学特性的功能控制的认识。优化准晶体颗粒混合复合材料的设计，掌握提高准晶体颗粒混合复合材料物理力学性能的关键技术。

Quasicrystal (QC) particle-mixed composite (QCPMC) is a new class of composite which combines the excellent comprehensive properties of QCs giving rise to many promising technological applications. One difficulty in the mathematical modelling of these materials is the fact, that they intrinsically constitute two-field problems due to a coupling of so-called phonon (physical) and phason (complementary) fields. In order to design and optimize the QCPMCs effectively, this work aim to combine the Equivalent inclusion method (EIM) and the Boundary element method (BEM), developing a new method, so-called inclusion-based boundary element method (iBEM), to explore the physical law of the influence of the quasicrystal particles distribution in mesoscopic scale on the macroscopic properties of QCPMC. .The presence and interaction of QC particles can significantly affect the physical and mechanical properties of QCPMC. However, due to the multi-scale effect, coupling effect and anisotropy of QCPMC, the research on their mechanical behavior and property control is very limited. .Goal of the proposed research initiative is to exploit analytical and numerical modelling approaches in connection with experimental work, in order to establish the multi-phase, multi-scale, multi-field coupling model of QCPMC. Effect of the shape of QC particles, the influence of the interaction between particles and particles, and between particles and boundaries on the mechanical behavior of QCPMC are analyzed to reveal the physical significance and mechanical behavior, and deepen the understanding of the functional control of their mechanical properties. The goal of this proposal is design quantitatively reliability and durability of the materials and thus optimize the design of QCPMC components, and master the key technology to improve the physical and mechanical properties of QCPMC.