Tên bài báo:

Conductivity of composites with multiple polygonal aggregates, theoretical estimates and numerical solutions from polarization series
Tác giả:
Nguyễn Hoàng Long
Tham gia cùng:
Tạp chí:
International Journal of Engineering Science
Năm xuất bản:
Từ trang 109 đến trang 116
Lĩnh vực:
Kỹ thuật xây dựng công trình giao thông
Phạm vi:
Quốc tế

Tóm tắt:

In this paper, we estimates the effective conductivity of heterogeneous materials constituted aggregates of different polygonal shapes mixed with a matrix material. The problem is considered in the context of periodic homogenization theory. The local problem is formulated using the Lippmann–Schwinger equation of polarization with optimal operator norm. The equation can be used to derive a Fast Fourier Transform (FFT) based iteration scheme and theoretical estimates of the overall properties. When applied to microstructure with polygonal inclusion, the results show a very good agreement between those approaches.

Từ khóa:

Polygonal shape inclusion Second order approximation Polarization series
Thông tin tác giả
Nguyễn Hoàng Long

Nguyễn Hoàng Long

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