دانلود رایگان مقاله لاتین مدل سازی سه بعدی از سایت الزویر
عنوان فارسی مقاله:
مدل سازی سه بعدی ترک خوردگی اختیاری در مواد جامد با استفاده از روش المان محدود تکمیل شده
عنوان انگلیسی مقاله:
3D modeling of arbitrary cracking in solids using augmented finite element method
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
Accurate assessment of the structural integrity involves the development of complex progressive damage analysis with high- fidelity. Since standard finite element method is not suitable to model strong discontinuity and crack, advanced finite elements and numerical methods are developed to explicitly take into account the cracking and damage in the material, e.g., the generalized finite element method (GFEM), extended finite element method (XFEM) [1–8], phantom node method (PNM) [9–14], augmented finite element method [15–18], and meshless methods [19–25]. The generalized finite element, extended finite element and phantom node methods have been developed based on theory of the partition of unity and in essence introduce additional degree of freedom to account for arbitrary cracking. In the case of individual crack, these methods are mesh independent and effective. The shortcomings in these methods are a) the computational cost is very expensive due to additional degree of freedom, b) multiple crack interactions have to be established in the framework of these methods despite some recent articles to deal with multiple crack interactions [5,26,27]. In this regard approaches such as phase field [28–30] and embedded discontinuity [31–36] are developed to cope with arbitrary interacting cracks. Other emerging methods for failure analyses include the regularized FEM (RxFEM) of Iarve et al. [37] and the continuum–decohesion FEM by Waas and coworkers [38]. Phase field model introduces an additional nodal DoF to approximate a fracture surface with a continuous phase-field parameter and does not need to algorithmically trace fracture. However, the method is mesh-dependent and requires an extremely refined mesh to resolve the sharp discontinuity across the crack surfaces [39]. In embedded discontinuity method, special shape functions are used to account for the discontinuous crack displacements within an element [35]. Though, the special care must be taken for constructing shape functions orthogonality property to avoid spurious deformation or serious stress locking. Meshless method which is based on interaction of each node with all its neighbor is another alternative to cope with arbitrary cracking problems in solids. The discrete nature of these meshfree methods makes it easier in handling multiple crack interaction problems. Some recent advances in meshless method are the use of extrinsically enriched methods based on the partition of unity (PoU) theory [20–22] and the use of weight function enrichment [24,25]. A crack tracing method is a major part of modeling arbitrary cracking and is of particular challenge in simulation of 3D solid’s failure. Many algorithms for tracing crack path have been developed [39–54]. Four common crack tracking methods are available including the local tracking method, the non-local tracking method, the global tracking method, and the level set methods. Advantages and shortcomings of the tracking methods aresummarized in Table 1. More details on crack tracking algorithms are referred to Jager et al. [54] It is noted that most of the above mentioned tracking methods (non-local, global, level set) may not be suitable for heterogeneous materials such as laminated or textile composites. Hence, we apply local tracking algorithm to trace crack path. In the current paper, we seek to extend 2D augmented finite element method (AFEM), which has been proven to be able to account for multiple, arbitrary cracks and crack interactions in solids with much improved numerical efficiency [15–17] to account for 3D crack evolution in solids. The AFEM lies in the category of the embedded discontinuity method without employing discontinuous shape functions. The remainder of this paper is organized as follows: After a short review of the problem statement and governing equations in Section 2, we briefly discuss the finite element discretization within the frame-work AFEM scheme in Section 3. Section 4 discusses the local crack tracing algorithm used in this study. Then, several numerical examples will be presented as compared with other works in Section 5. Finally, Section 6 concludes the paper with major highlights and numerical achievements.
کلمات کلیدی:
3D modeling of arbitrary cracking in solids using ... - DeepDyve https://www.deepdyve.com/.../3d-modeling-of-arbitrary-cracking-in-solids-using-aug... Read "3D modeling of arbitrary cracking in solids using augmented finite element method, Composite Structures" on DeepDyve, the largest online rental service ... Sparrho | 3D Modeling of Arbitrary Cracking in Solids using Augmented www.sparrho.com/item/3d-modeling-of-arbitrary-cracking-in-solids-using.../9d5426/ Oct 18, 2016 - A three dimensional (3D) augmented finite element method (A-FEM) for modeling arbitrary cracking without the need of additional degree of ... Augmented finite-element method for arbitrary cracking and crack ... https://www.ncbi.nlm.nih.gov/pubmed/27242303 by J Jung - 2016 - Related articles Augmented finite-element method for arbitrary cracking and crack interaction in ... dealing with crack propagation problems in 2D and 3D solids under coupled ... This article is part of the themed issue 'Multiscale modelling of the structural ... [PDF]a topology based system for simulating 3d crack growth in solid and ... www.gruppofrattura.it/ocs/index.php/ICF/ICF9/paper/view/4247/1412 by IN SOLID - Cited by 24 - Related articles A software framework, FRANC3D, is developed to simulate arbitrary crack ... a description of the solid model geometry, including the cracks, the boundary ... Modeling three-dimensional crack propagation—A comparison of ... onlinelibrary.wiley.com/doi/10.1002/nme.2353/abstract by P Jäger - 2008 - Cited by 62 - Related articles Jun 19, 2008 - Abstract. The development of a new finite element technique for the simulation of discontinuous failure phenomena in three dimensions is the ...
