Coupled Isogeometric Analysis Method and Peridynamics Method for the Modeling of Crack Open Analysis on Ship Hull

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Project title

Code/計畫編號

MOST106-2221-E019-048

Translated Name/計畫中文名

發展等參幾合分析法與近場動力學耦合法用於船殼裂縫模擬

Project Coordinator/計畫主持人

Pai-Chen Guan

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Department of Systems Engineering and Naval Architecture

Website

https://www.grb.gov.tw/search/planDetail?id=12240619

Year

2017

Start date/計畫起

01-08-2017

Expected Completion/計畫迄

31-07-2018

Bugetid/研究經費

607千元

ResearchField/研究領域

機械工程

"發展等參幾合分析法與近場動力學耦合法用於船殼裂縫模擬超大型船舶由於船殼厚度隨著強度需求增加，估算厚板的裂縫累積與裂縫位移(crack tip opening displacement, CTOD)的能力對船體的耐久性能也隨著板厚增加而越來越重要，有限元素法對裂縫分析與處理的能力，在近幾年中有長足的進步，主要是因為Extended finite element method (XFEM)方法的逐漸成熟所致，但是仍有船體結構網格建立不易、網格相依性仍然存在等可能的缺點。雖然對一般結構問題有非常大的幫助，但是對船體結構分析上，仍然費時費力。本研究主要發展等參幾合分析法 (Isogeometric analysis method)與近場動力學(peridynamics)耦合程式，用於處理板殼裂縫開裂、成長等。等參幾合分析法可直接使用CAD 模型進行幾何分析，最適合用於空間曲板類的結構，而近場動力學是近十年來所發展的新方法，主要針對動態裂縫問題，以積分後的控制方程式完全避免因空間微分導致裂縫周圍的不穩定行為。兩種數值方法的耦合方式考慮(1) subdomain interface、(2) overlapping interface、(3) 平滑耦合。其中平滑耦合引進高頻過濾器移除由近場動力學區域傳遞至等參幾合區域的高頻率波，可減少介面的非物理震盪與誤差，是最近發展出新式的耦合方式。" "The thick plate are often used for the construction Ultra large (container) ship. At the same time, the ability of analyzing the crack accumulation and crack tip opening displacement (CTOD) of the thick plate is getting more and more important for estimating the durability of ship structure. Additionally, the Finite element method (FEM) has become more flexible and reliable in dealing with crack problems due to the rapid development of the new extended finite element method (XFEM). But for the ship construction point of view, using XFEM method for ship structural analysis still cost tremendous amount of time to generate FEM mesh. Therefore, in our research, we propose using the coupled isogeometric analysis method (IGA)/ peridynamics method to solve the problem with crack propagation on ship structure. The IGA method can directly use the information from CAD model to perform structural analysis, while the peridynamics has been developed to deal with dynamic crack propagation problem in the last decade. To couple these two methods, which have different fundamental concept of governing equations and solution technique, we introduce three coupling methods: (1) subdomain interface; (2) overlapping interface; and (3) smoothed coupling. The smoothed coupling is a new method which introduce the reproducing kernel function as a high frequency filter, which can properly remove the high frequency solution from peridynamics domain and stabilize the coupling interface."

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Coupled Isogeometric Analysis Method and Peridynamics Method for the Modeling of Crack Open Analysis on Ship Hull

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