Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
➤ Gửi thông báo lỗi ⚠️ Báo cáo tài liệu vi phạmNội dung chi tiết: Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
VIETNAM NATIONAL UNIVERSITY HO CHI MINH CITYUNIVERSITY OF TECHNOLOGYNGUYEN NGỌC MINHDEVELOPMENT OF NEW FINITE ELEMENTS BASED ON CONSECUTIVE-INTERPOLAT Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems TION FOR 21) AND 3D THERMAL-MEC HANICAL PROBLEMSMajor: Engineering Mechanics (Cơ kỳ thuật)Codes: 62520101Independent Examiner 1: Associate Prof. Dr. NGUYÊN VÀN HIÉƯIndependent Examiner 2: Associate Prof. Dr. NGUYÊN QUÓC HƯNGExaminer 1: Dr. TRỊNH ANH NGỌCExaminer 2: Associate Prof. Dr. CHÂU ĐÌNH THÀN Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems HExaminer 3: Associate Prof. Dr. LƯƠNG VÃN HÀISCIENTIFIC SUPERVISORS:1Assoc. Prof. Dr. TRƯƠNG TÍCH THIỆN2Assoc. Prof. Dr BÙI QUÓC TÍNHLỜI CAM ĐOAN / DDevelopment of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
ECLARATIONTác già xin cam đoan đây là công trình nghiên cửu cua ban thân tác già. Các kết qua nghiên cứu và các két luận trong luận án này là trung thVIETNAM NATIONAL UNIVERSITY HO CHI MINH CITYUNIVERSITY OF TECHNOLOGYNGUYEN NGỌC MINHDEVELOPMENT OF NEW FINITE ELEMENTS BASED ON CONSECUTIVE-INTERPOLAT Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems ghi nguồn tãi liệu tham khao dũng quỵ dinh.This doctoral dissertation is the outcome of my original research, conducted al the Ho Chi Minh city University of Technology.. VW - IICM. Viet Nam. I declare that this document is my own work and has not submitted lor any other degree or qualification exce Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems pt as specified. All the references are cited in the document.'lác giá luận án / AuthorChữ ký / Signature1TÓM TẤT Ll ÁN ÁN •Luận án trình bày một nhómDevelopment of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
phan tư hừu han mới dựa trẽn sư tích hợp kỳ thuật nội suy liên tiêp vào phương pháp phàn tử hữu h«ạn truyền thống. Với kỳ thuật này. không chi giá trVIETNAM NATIONAL UNIVERSITY HO CHI MINH CITYUNIVERSITY OF TECHNOLOGYNGUYEN NGỌC MINHDEVELOPMENT OF NEW FINITE ELEMENTS BASED ON CONSECUTIVE-INTERPOLAT Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems i là một trường liên tục. thay vì bất liên tục tại nút (không hợp lý về mặt vật lý) như phương pháp truyền thống. Sự cãi thiện về tinh liên tục cũng mang đến độ chinh xác cao hơn của lời giãi xấp XI Tuy nhiên khác với các phương pháp có đô hèn tục bậc cao hiện hành như phương pháp Đảng hĩnh học hay Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems phương pháp không lưới, phương pháp phan tử hữu hạn nội suy liên tiếp vẫn duy trì thuộc tính Kronecker quan trọng trong tinh toán số. Thêm vào đó. phưDevelopment of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
ơng pháp đề xuất sử dụng cùng một lưới phan từ VỚI phương pháp phần từ hừu hạn truyền thong và không làm lăng so lượng bậc tự do.Kỳ thuật nội suy liênVIETNAM NATIONAL UNIVERSITY HO CHI MINH CITYUNIVERSITY OF TECHNOLOGYNGUYEN NGỌC MINHDEVELOPMENT OF NEW FINITE ELEMENTS BASED ON CONSECUTIVE-INTERPOLAT Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems luận án này, phương pháp được hê thống hóa và phát triển nâng cao để tạo ra một nhóm phần tử hữu hạn mới phù hợp VÓI nhiều miền bài toán từ một chiều đến ba chiều, và được áp dụng đê phân tích bài toán tương tác cơ-nhiệt Phương pháp để xuắt tiếp tục được mờ rộng đế kháo sát ứng xử của miền chửa dạn Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems g bất liên tục như vết nửt. vói vật liệu đẳng hướng và vật liệu trưc hướng.iiABSTRACTThis dissertation presents a new group of finite elements based oDevelopment of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
n the integration of consecutive-interpolation procedure into the traditional Finite Element Method. With this technique, not only the nodal values buVIETNAM NATIONAL UNIVERSITY HO CHI MINH CITYUNIVERSITY OF TECHNOLOGYNGUYEN NGỌC MINHDEVELOPMENT OF NEW FINITE ELEMENTS BASED ON CONSECUTIVE-INTERPOLAT Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems ts are smooth, unlike the fields which arc (non-physically) discontinuous al nodes delivered by traditional Finite Element Method, rhe improvement on continuity results in higher accuracy of approximated solution as well. On the other hand, unlike the other higher-order methods such as the Isogcomct Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems ric Analysis and the Mesh free methods, the novel Consecutive-interpolation f inite Element Method possesses the important Kronecker-delta property. FDevelopment of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
urthermore, the proposed method employs the same discretization mesh with the traditional Finite Element Method and does not increase the number of deVIETNAM NATIONAL UNIVERSITY HO CHI MINH CITYUNIVERSITY OF TECHNOLOGYNGUYEN NGỌC MINHDEVELOPMENT OF NEW FINITE ELEMENTS BASED ON CONSECUTIVE-INTERPOLAT Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems teral element to be used in analysis of two-dimensional linear elastic problems. In this dissertation, the method is further developed to form a new class of finite elements which is suitable for domains from 1D to 3D. The new group of finite elements (being integrated with consecutive-interpolation Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems procedure) is applied to analyze the thermo-mechanical problems. The proposed method is also extended to study behaviors of bodies containing discontDevelopment of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems
inuities such as cracks, for both isotropic and orthotropic materials.iiiCONTENTSLÕI CAM ĐOAN / DECLARATION..........................................iVIETNAM NATIONAL UNIVERSITY HO CHI MINH CITYUNIVERSITY OF TECHNOLOGYNGUYEN NGỌC MINHDEVELOPMENT OF NEW FINITE ELEMENTS BASED ON CONSECUTIVE-INTERPOLAT Development of new finite elements based on consecutive interpolation for 2d and 3d thermal mechanical problems .......................................................ivLIST OF FIGURES..................................................viiiVIETNAM NATIONAL UNIVERSITY HO CHI MINH CITYUNIVERSITY OF TECHNOLOGYNGUYEN NGỌC MINHDEVELOPMENT OF NEW FINITE ELEMENTS BASED ON CONSECUTIVE-INTERPOLATGọi ngay
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