دانلود رایگان مقاله لاتین شبکه fe ناسازگار سازه کامپوزیت از سایت الزویر
عنوان فارسی مقاله:
نقشه برداری المان محدود برای شبکه های FE ناسازگار سازه های کامپوزیت
عنوان انگلیسی مقاله:
Finite element mapping for incompatible FE meshes of composite structures
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
Finite element analysis (FEA) is a common instrument to design and analysis composite structures. Several engineering simulation packages are available in specific engineering fields for mechanical, thermo-mechanical or fluid dynamics analyses. A multidisciplinary FEA of composite structures is important for a realistic simulation of structural behavior. The multidisciplinary FEA consider a combination of different approaches for process and structural simulation and can use shell, plate, beam or solid element theories. The mesh and element diversity makes it difficult to combine different approaches and to analyse effects of manufacturing effects and defects [1–3]. Several strategies were developed to transfer FE data between shell element meshes [4,5] or between shell and solid element meshes [6]. Approaches for a data transfer between different simulations for fluid dynamics and structural simulations of metal components have been presented [7,8,9,10]. In the analysis of composite structures, process simulations are less integrated into structural simulations.The manufacturing chain of composites includes i.e. preforming, impregnation and curing processes. The manufacturing processes are simulated with several finite element (FE) packages based on shell and solid element meshes, where FE and meshing strategies are depending on the engineering problems. A preforming step can be done with a draping, a braiding or an automated fiber placement (AFP) process. Composite materials do not fit exactly a desired geometry during a draping process and can produce wrinkling material defects [11]. FE based draping simulations can reproduce out-of-plane wrinkling and shear behavior of composite materials. Such simulations use separated meshes per composite ply [12] with material parameters and contact definitions. Results of these simulations are represented on a deformed mesh geometry compared to the designed geometry. Therefore, the draping mesh is incompatible with a structural mesh where a shell element mesh based on the designed geometry is used for all layers. If the source and the target meshes have different FE geometries then the produced mapping errors are more relevant for the next analysis steps. The main challenge here is to map the fiber orientations of the source mesh as vectors into a new reference coordinate system and reproduce manufacturing effects and defects of materials. The different source reference coordinate systems are used in applications such as structural simulationsbased on process data or process simulations based on measuring data [13]. Commercial software packages [14–18] implemented different solutions in this field. A main limitation of these solutions is that these packages transfer fiber orientation values from kinematic draping simulations. Kinematic draping approaches are geometry or energy based and the results are represented on the same FE geometry as a structural FE geometry. A kinematic draping approach is used for a first estimation of a draping behavior. On the other hand, FE- or mechanically based draping simulations are used for more realistic behavior estimations. The existing commercial mapping solutions cannot be extended with other software packages. However, it is important to use a software-independent mapping solution for a multidisciplinary analysis of composite structures to understand a composite material behavior with different simulation approaches. The need of a manufacturing simulation chain for composite components is growing in the last years in the industry because of manufacturing costs and process time optimization. Recent publications show the interest on a simulation chain for composites components in the automotive industry. Different established methods were combined for a multi-level analysis of process manufacturing chains up to structural simulation for unidirectional fiber reinforced composite components [19–23]. The aim of the present paper is to show how it is possible to map FE draping simulation results of the composite structures into structural analysis with different software packages and for different material textile structures. Especially, it is shown how to use the shape functions for element-to-node transfer and how to calculate additional properties with no auxiliary meshes, how to transfer scalar, vector and tensor values and how to predict material properties of the composite materials based on the mapping results. The procedure follows an approach based on the methods published in [24– 28] using a global searching algorithm based on bucket sort techniques and a point-element testing with FE shape functions. Subsequent projection and interpolation methods are applied for a transfer of nodal or element values to integration or centroid points of elements. Material properties prediction is used for the calculation of stiffness values for sheared woven fabrics with an approach extended from a well-known model of Ishikawa et al. [29,30]. This approach allows including shear draping information into material properties on a meso-macro scale and provides a more efficient calculation compared to the FE unit cell methods. Based on the first investigation results published in [31–33], the mapping process was developed and applied to unidirectional and woven industrial composite components [34–36]. In this paper, the following Section 2 describes mapping methods and properties calculation based on mapping results. Aerospace and academic applications are discussed in Section 3. A section describing the obtained results is followed by conclusions.
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کلمات کلیدی:
[PDF]The Finite Element Method for the Analysis of Non-Linear and ... https://www.ethz.ch/content/dam/ethz/special-interest/.../femII/Lecture1_2015.pdf Sep 17, 2015 - “The Finite Element Method: Linear Static and Dynamic Finite. Element .... For any set of compatible small virtual displacements imposed on the body ..... Map the integrals to the natural domain −→ element stiffness matrix. [PDF]The Finite Element (FE) Method - Springer www.springer.com/cda/content/document/cda.../9783642401695-c2.pdf?SGWID... The finite element (FE) method has become the standard numerical ...... general we call finite elements satisfying property 1 and 2 conforming, or compatible. ... Therefore, we introduce the bijective map FΩe from the reference element ˆΩ. FINITE ELEMENT METHOD AND COMPUTATIONAL STRUCTURAL DYNAMICS https://books.google.com/books?isbn=8120349954 MANISH SHRIKHANDE - 2014 - Technology & Engineering In particular, with the addition of incompatible modes, the element passes patch ... the finite element solution, the element should be able to exactly reproduce the ... The element stiffness matrix is then obtained with Bcic in Mapped Elements 161. Finite element basis functions (1) hplgit.github.io/INF5620/doc/pub/sphinx-fem/._main_fem003.html These type of basis functions are fundamental in the finite element method. ... is also compatible with the concepts used in the FEniCS finite element software. ...... Introduce i=q(e,r) as the mapping of local node number r in element e to the ... Finite Element Method: Applications in Solids, Structures, and Heat ... https://books.google.com/books?isbn=1420056557 Michael R. Gosz - 2017 - Technology & Engineering Because the bi-linear shape functions map straight lines into straight lines, the ... elements are straight, and the resulting displacement field is compatible, i.e., ... Equilibrium Finite Element Formulations https://books.google.com/books?isbn=1118424158 J. P. Moitinho de Almeida, Edward A. Maunder - 2017 - Technology & Engineering 164 Equilibrium F.E. Formulations minimizing the contour integral of (ue − ve)2, ... These displacements are not compatible between elements, but will ... the elements in a conforming model are mapped with curvilinear coordinates with ...
