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Introduction to nonlinear finite element analysis
This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book focuses on three representative problems: nonlinear elasticity, elastoplasticity, and contact problems. The book is written independent of any...
10 p hcmute 20/07/2020 239 2
The paper presents an efficient 3-node triangular finite plate element for static analysis of functionally graded plates using the high-order shear deformation theory (HSDT). The strain fields of the plate elements, which use the MITC3 technique to remove the shear-locking phenomenon, are smoothed on the edges of the elements to improve numerical demonstration.
14 p hcmute 16/05/2018 493 1
Từ khóa: Finite element method (FEM), Edge-based smoothed FEM (ES-FEM), MITC3, C 0 -type HSDT, Functionally graded plates
A unified approach to the finite element method and error analysis procedures
This book provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error analysis techniques are systematically developed from a common theoretical foundation: 1) modeling erros in individual elements; 2) discretization errors in the overall...
12 p hcmute 09/08/2017 498 2
Từ khóa: A unified approach to the finite element method and error analysis procedures
The Finite Element Method in Heat Transfer Analysis
Heat transfer analysis is a problem of major significance in a vast range of industrial applications. These extend over the fields of mechanical engineering, aeronautical engineering, chemical engineering and numerous applications in civil and electrical engineering. If one considers the heat conduction equation alone the number of practical problems amenable to solution is extensive. Expansion of the work to include features such as phase...
5 p hcmute 04/08/2017 598 1
Từ khóa: The Finite Element Method in Heat Transfer Analysis
Trong bài báo này, phương pháp phần tử hữu hạn trơn dựa trên cạnh ES-FEM (the edge-based smoothed finite element method) được phát triển cho bài toán phân tích tĩnh và dao động tự do của kết cấu tấm composite lớp. Biến dạng trượt do lực cắt sẽ được kể tới theo lý thuyết biến dạng cắt bậc cao dựa trên hàm bậc 3 của Reddy. Miền hình học được rời...
16 p hcmute 14/06/2017 680 6
Từ khóa: Finite element method (FEM), Edge-based smoothed FEM (ES-FEM), MITC3, C0-type HSDT
ANALYSIS OF MULTIPHYSICS INTERACTING INFLUENCES IN ANISOTROPIC MATERIALS BY FEM
In the present thesis work an attempt is made to develop a four noded isoparamatric flat plate element with five mechanical degrees of freedom ( 3 translational, 2 rotational) per node based on first order shear deformation theory to compute the elemental stiffness ( elastic or electro-mechanical coupling) and mass matrix of composite plate. Electrical voltage is assumed as an additional DOF which is to be applied per element. The numerical...
7 p hcmute 19/12/2016 451 4
Từ khóa: Finite element method, composite plate, composite-plate foundation interaction, piezoelectric materials, Smart materials
Trong phương pháp ES-FEM, ma trận độ cứng được tính toán bởi kỹ thuật trơn hóa biến dạng trên miền trơn ( smoothing domains ) dựa trên cạnh của phần tử. Để giải quyết hiện tượng khóa cắt “shear locking” khi tấm có chiều dày mỏng dần, kỹ thuật nội suy các thành phần ten xơ (mixed interpolation tensorial components viết tắt là MITC) được sử dụng kết...
16 p hcmute 15/11/2016 701 4
Từ khóa: Finite element method (FEM), Edge-based smoothed FEM (ES-FEM), MITC3, C0-type HSDT, Laminated composite plates.