Simulation of failure of a fixed beam subjected to impact load using quadrilateral discrete element method
09 Nov 2012-pp 473-477
TL;DR: In this paper, Quadrilateral Discrete Element Method (QDEM) is introduced for the simulation of the separation of elements in fixed beam subjected to impact load and convergence study for the response of fixed beam is obtained using MATLAB platform.
Abstract: Discrete Element Method (DEM) is an explicit numerical scheme to model the mechanical response of solid and particulate media. In our paper, we are introducing Quadrilateral Discrete Element Method (QDEM) for the simulation of the separation of elements in fixed beam subjected to impact load. QDEM results are compared with other DEM results available in literature. Impact loads include two cases: (a) a half sine wave and (b) a penetrator hitting the fixed beam. Separation criteria used for the discrete elements is maximum principal stress failure criteria. In QDEM, convergence study for the response of fixed beam is obtained using MATLAB platform. Validation of quadrilateral elements in fixed beam is being carried out by comparing the results with empirical formula available in literature for the impact analysis.Copyright © 2012 by ASME
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TL;DR: The distinct element method as mentioned in this paper is a numerical model capable of describing the mechanical behavior of assemblies of discs and spheres and is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the objects modelled particle by particle.
Abstract: The distinct element method is a numerical model capable of describing the mechanical behaviour of assemblies of discs and spheres. The method is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the particles modelled particle by particle. The main features of the distinct element method are described. The method is validated by comparing force vector plots obtained from the computer program BALL with the corresponding plots obtained from a photoelastic analysis. The photoelastic analysis used for the comparison is the one applied to an assembly of discs by De Josselin de Jong and Verruijt (1969). The force vector diagrams obtained numerically closely resemble those obtained photoelastically. It is concluded from this comparison that the distinct element method and the program BALL are valid tools for research into the behaviour of granular assemblies. La methode des elements distincts est un modele numerique capab...
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TL;DR: The distinct element method as mentioned in this paper is a numerical model capable of describing the mechanical behavior of assemblies of discs and spheres and is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the objects modelled particle by particle.
Abstract: The distinct element method is a numerical model capable of describing the mechanical behaviour of assemblies of discs and spheres. The method is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the particles modelled particle by particle. The main features of the distinct element method are described. The method is validated by comparing force vector plots obtained from the computer program BALL with the corresponding plots obtained from a photoelastic analysis. The photoelastic analysis used for the comparison is the one applied to an assembly of discs by De Josselin de Jong and Verruijt (1969). The force vector diagrams obtained numerically closely resemble those obtained photoelastically. It is concluded from this comparison that the distinct element method and the program BALL are valid tools for research into the behaviour of granular assemblies. La methode des elements distincts est un modele numerique capab...
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TL;DR: In this paper, the effects of a hard impact on a concrete barrier wall are discussed. But this paper only deals with the effect of "hard" missile impact and does not deal with the impact on "soft" barrier walls.
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TL;DR: The discrete element method (DEM) is developed in this paper as a general and robust technique for unified two-dimensional modeling of the mechanical behavior of solid and particulate materials, including the transition from solid phase to particulate phase.
Abstract: The discrete element method (DEM) is developed in this study as a general and robust technique for unified two-dimensional modelling of the mechanical behaviour of solid and particulate materials, including the transition from solid phase to particulate phase Inter-element parameters (contact stiffnesses and failure criteria) are theoretically established as functions of element size and commonly accepted material parameters including Young's modulus, Poisson's ratio, ultimate tensile strength, and fracture toughness A main feature of such an approach is that it promises to provide convergence with refinement of a DEM discretization Regarding contact failure, an energy criterion based on the material's ultimate tensile strength and fracture toughness is developed to limit the maximum contact forces and inter-element relative displacement This paper also addresses the issue of numerical stability in DEM computations and provides a theoretical method for the determination of a stable time-step The method developed herein is validated by modelling several test problems having analytic solutions and results show that indeed convergence is obtained Moreover, a very good agreement with the theoretical results is obtained in both elastic behaviour and fracture An example application of the method to high-speed penetration of a concrete beam is also given Copyright © 2006 John Wiley & Sons, Ltd
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"Simulation of failure of a fixed be..." refers background in this paper
...The fixed beam analysis results using square elements are compared with fixed beam modeled using circular elements (cubical arrangement or 9 disc arrangement) which are available in literature[2,4]....
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...In literature, for 2D discrete elements, most of the elements are circular in shape [1,2]....
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...Discrete elements consists of a network of rigid masses connected with deformable springs[1,2]....
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TL;DR: From the review, it is observed that employing appropriate material model for concrete, equation-of-state, contact algorithm and definition of yield surface plays significant role in the accurate simulation of concrete structural components.
Abstract: This paper presents an overview on the concrete structural components subjected to impact loading. The review includes empirical formulae, analytical models, and numerical simulations. Various empirical formulae on penetration depth, perforation, and scabbing limits as well as their ranges of application have been provided. It has been observed that the information available on the validation of these models is limited. There is wider scope to study the performance of well known empirical formulae. Penetration resistance function play an important role in any analytical model. It has been observed that the major limitation is rigid projectile assumption. There is scope to develop new/improved analytical models to represent projectile characteristics. The numerical simulation of concrete structural components subjected to impact loads is a complex phenomenon. From the review, it is observed that employing appropriate material model for concrete, equation-of-state, contact algorithm and definition of yield surface plays significant role in the accurate simulation of concrete structural components. There is ample scope to develop improved methodologies in terms of development of material models and contact algorithms, which can be employed in nonlinear explicit finite element analysis of concrete structural components subjected to impact loading. Defence Science Journal, 2010, 60(3), pp.307-319 , DOI:http://dx.doi.org/10.14429/dsj.60.358
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