Mô hình mặt tiếp xúc không hoàn hảo trong bê tông cốt sợi: bài toán một chiều

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Tác giả: Gia Khuyến Lê, Hoàng Quân Nguyễn, Bảo Việt Trần

Ngôn ngữ: vie

Ký hiệu phân loại: 517.26 [Unassigned]

Thông tin xuất bản: Khoa học Giao thông vận tải, 2023

Mô tả vật lý: 1063-1074

Bộ sưu tập: Metadata

ID: 502480

Thêm vào giỏ

Bê tông cốt sợi phân tán là vật liệu nhiều ưu điểm do tăng cường khả năng chịu kéo nhờ sự làm việc của cốt sợi phân tán. Tuy nhiên việc mô hình hóa vật liệu này vẫn còn nhiều khó khăn. Bài báo nhằm mục đích thiết lập cơ sở lý thuyết cho mô hình hư hại của vật liệu bê tông cốt sợi có tính đến sự làm việc đồng thời của hư hại ròn tại miền vật liệu nền và hư hại tựa ròn tại mặt tiếp xúc giữa pha nền và cốt liệu. Mô hình được xây dựng dựa trên cơ sở tiếp cận năng lượng, chuẩn hóa trường kỳ dị theo kiểu của phương pháp Trường pha. Trong đó, hư hại tại vật liệu nền và mặt tiếp xúc được mô tả bời hai biến trường pha độc lập và trường chuyển vị bổ sung. Trên cơ sở lý thuyết tổng quát, lời giải chi tiết cho bài toán nhiều pha một chiều được thiết lập. Các ví dụ so sánh giữa kết quả giải tích và kết quả số cho một số điều kiện khác nhau được thực hiện chứng tỏ tính chính xác của mô hình cũng như các vấn đề cần thực hiện để áp dụng hiệu quả trong các bài toán phức tạp hơn.Fiber-reinforced concrete is a material with many advantages due to the enhanced tensile strength from the action of dispersed fiber reinforcement. However, modeling that material still poses many challenges. The paper aims to establish a theoretical basis for the damage model of fiber-reinforced concrete materials, considering concurrent actions of fractures within the bulk material and interfacial debonding between the matrix and fibers. The model is constructed based on the thermodynamics approach, utilizing the regularization technique within the framework of the Phase-Field method. Specifically, the damage within the bulk material and the interfacial region is described by two independent phase fields and an auxiliary displacement field. Building upon the general theoretical framework, a detailed solution for the one-dimensional multiphase problem is established. Comparative examples between analytical and numerical results under various conditions demonstrate the accuracy of the proposed model, as well as the challenges involved in effectively applying it to more complex problems.

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