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| Author | : Daniel Vernon Swenson |
| Publisher | : |
| Total Pages | : 472 |
| Release | : 1986 |
| Genre | : Finite element method |
| ISBN | : |
| Author | : Daniel Vernon Swenson |
| Publisher | : |
| Total Pages | : 212 |
| Release | : 1985 |
| Genre | : Boundary element methods |
| ISBN | : |
| Author | : Russell Thomas Hollman |
| Publisher | : |
| Total Pages | : 52 |
| Release | : 2017 |
| Genre | : |
| ISBN | : |
A recently proposed Discontinuous Galerkin (DG) method for modeling nonlinear fracture mechanics problems in the context of the finite element method is investigated. The DG method provides a framework for fracture mechanics by employing interface elements within the region of interest where cracking is expected. Previous studies have shown that the use of traction-separation laws within the DG method have enhanced stability for dynamic problems by removing the issue of artificial compliance compared to intrinsic cohesive zone elements. The purpose of this thesis is to apply the DG method to a mixed-mode dynamic crack propagation problem, namely the Kalthoff-Winkler experiment. The Kalthoff-Winkler experiment is a benchmark dynamic fracture problem for predicting crack propagation in an impact-loaded prenotched plate. While this problem has been simulated using other numerical methods, the DG method has not yet been investigated in this mixed-mode dynamic context. Mesh sensitivity has been found in the case of intrinsic cohesive zone models; the inherent stability of the DG method in the dynamic context may lessen the degree of sensitivity. The DG method is applied to the Kalthoff-Winkler experiment using multiple meshes: structured and unstructured, linear and quadratic, coarse and refined, and the resultant crack paths from several simulations do not agree closely. An additional contribution of this thesis is a novel technique for visualizing cohesive element data through wireframe figures. The technique produces illustrations for visualizing zero-thickness interface elements as thin lines, upon which cohesive element data can be conveyed with color contouring. Possible explanations regarding the disagreement of simulated crack paths are suggested.
| Author | : Sylvie Pommier |
| Publisher | : John Wiley & Sons |
| Total Pages | : 271 |
| Release | : 2013-03-04 |
| Genre | : Technology & Engineering |
| ISBN | : 1118622693 |
Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.
| Author | : K. Ravi-Chandar |
| Publisher | : Elsevier |
| Total Pages | : 265 |
| Release | : 2004-10-16 |
| Genre | : Science |
| ISBN | : 0080472559 |
Dynamic fracture in solids has attracted much attention for over a century from engineers as well as physicists due both to its technological interest and to inherent scientific curiosity. Rapidly applied loads are encountered in a number of technical applications. In some cases such loads might be applied deliberately, as for example in problems of blasting, mining, and comminution or fragmentation; in other cases, such dynamic loads might arise from accidental conditions. Regardless of the origin of the rapid loading, it is necessary to understand the mechanisms and mechanics of fracture under dynamic loading conditions in order to design suitable procedures for assessing the susceptibility to fracture. Quite apart from its repercussions in the area of structural integrity, fundamental scientific curiosity has continued to play a large role in engendering interest in dynamic fracture problems In-depth coverage of the mechanics, experimental methods, practical applications Summary of material response of different materials Discussion of unresolved issues in dynamic fracture
| Author | : M. H. Aliabadi |
| Publisher | : WIT Press (UK) |
| Total Pages | : 336 |
| Release | : 1995 |
| Genre | : Technology & Engineering |
| ISBN | : |
A review of dynamic fracture mechanics with particular emphasis on computational methods. This text covers finite elements, finite volume, and boundary element methods providing fundamental concepts of advances in computational methods as well as the algorithms for use in practical applications.
| Author | : Fleming Petri, Wagner Carlos |
| Publisher | : kassel university press GmbH |
| Total Pages | : 233 |
| Release | : 2013-01-01 |
| Genre | : Mathematical models |
| ISBN | : 3862194361 |
The aim of this thesis is the simulation of progressive damage in brittle materials due to cracking. With this aim, the mathematical crack model will be solved using the eXtended Finite Element Method for the spatial discretization and time integration schemes for the numerical integration in the time domain. The time integration schemes considered are the Generalized-? method, the continuous GALERKIN method and the discontinuous GALERKIN method.
| Author | : Meinhard Kuna |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 464 |
| Release | : 2013-07-19 |
| Genre | : Science |
| ISBN | : 9400766807 |
Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.
| Author | : Keith John Miller |
| Publisher | : ASTM International |
| Total Pages | : 340 |
| Release | : 1999 |
| Genre | : Technology & Engineering |
| ISBN | : 0803126026 |
| Author | : Farid Reza Biglari |
| Publisher | : |
| Total Pages | : 16 |
| Release | : 2006 |
| Genre | : Crack propagation |
| ISBN | : |
Simulation of the crack growth for complex geometries is presented in this paper. Determination of the crack propagation direction under mixed mode conditions is one of the most important parameters in fracture mechanics. There are several criteria that have been developed to predict crack growth and its direction using linear elastic fracture mechanics (LEFM), many of which have recently been incorporated into finite element codes. These criteria are commonly adopted in the prediction of crack propagation in simple geometries and in straight crack paths. In more complex geometries, a more accurate determination of the crack propagation path, using remeshing methods can be employed. However, the remeshing technique usually suffers from the loss of strain energy density that can occur at the tip of the crack during the interpolation of field solutions. In this research work, the crack growth simulation is presented which allows for crack path deviation without the use of remeshing of the model. This method deals with a nonstraight crack growth path, is based on a node releasing technique and appropriate fracture criteria. The maximum principal stress and maximum strain energy release rate criteria is used in this paper exclusively. The results of simulation have been compared with experimental results as well as with numerical works of others that have been found in the recently published literature.
