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In this talk, I will present solutions in horizontally layered systems (composites) with coupled fields (mechanical, electric, poroelastic, etc), and illustrate the effect of anisotropy, layering, and multi-field coupling, for better design. The effect of defects in the layered system will be also discussed. As for applications in civil engineering, loading over layered pavements, indentation, and soil-structure interactions associated with layered systems will be emphasized. The mathematical approaches to be presented have certain unique features (system of vector functions, special propagating matrix, etc), and as such, they can be continuously applied to various engineering fields, whilst exploring their new applications in the cutting-edge material fields (e.g., multiferroics, metamaterials, etc) and solid-state physics (where strain and interface engineering is critical in reducing the semiconductor size). 在这次演讲中，我将介绍具有耦合场(机械、电、孔弹性等)的水平分层系统(复合材料)的解决方案，并说明各向异性、分层和多场耦合的影响，以便更好的设计。本文还讨论了分层体系中缺陷的影响。至于在土木工程中的应用，将强调层状路面上的荷载，压痕和与层状系统相关的土-结构相互作用。所提出的数学方法具有某些独特的特点(矢量函数系统、特殊传播矩阵等)，因此，它们可以持续应用于各种工程领域，同时探索其在尖端材料领域(如多铁性、超材料等)和固体物理(应变和界面工程对减小半导体尺寸至关重要)的新应用。
参考文献: Zhou, J., Pan, E., and Lin, C. P. (2023): Transient Green’s functions of dislocations in transversely isotropic and layered poroelastic half-spaces. Eng. Analy. Bound. Elements 146: 155-169.
Pan, E., Lin, C. P., and Zhou, J. (2021): Fundamental solution of general time-harmonic loading over a transversely isotropic, elastic and layered half-space: An efficient and accurate approach. Eng. Analy. Bound. Elements 132: 309-320. Pan, E. (2019): Green’s functions for geophysics: a review. Rep. Prog. Phys., 82: 106801. Pan, E. (1989): Static response of a transversely isotropic and layered half space to general dislocation sources. Phys. Earth Planet. Inter., 58: 103 117. Pan, E. (1989): Static response of a transversely isotropic and layered half space to general surface loads. Phys. Earth Planet. Inter., 54: 353 363.
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