This approach is based on the simulation of a large number of discrete elements that can be in interaction. The combined finitediscrete element method fdem can well model the transition from continuous to discontinuous behavior in rock mass. Modeling earthquakes with offfault damage using the. Each discrete element is discretized by its own mesh of finite elements, which enables. The combined finitediscrete element method a natural extension of both discrete and finite element methods allows researchers to model problems involving the deformability of either one solid body, a large number of bodies, or a solid body which fragments e. A comprehensive treatment of the combined finite element discrete element method is contained in the book the combined finitediscrete element method by. Nearly thirty years since its inception, the combined finitediscrete element method fdem has made remarkable strides in becoming a mainstream analysis tool within the field of computational. Combined finitediscrete element method following the work by munjiza and owens earlier work, the combined discrete element method has been further developed to various irregular and deformable particles in many applications including pharmaceutical tableting, 1 packaging and flow simulations, 2 and concrete and impact analysis, 3 and.
Threedimensional combined finitediscrete element modeling of shear fracture process in direct shearing of rough concreterock joints. Validation of a threedimensional finitediscrete element method using experimental results of the split hopkinson pressure bar test. The main idea behind the application of the discrete element method dem to masonry. Mar 05, 2018 this paper aims to present a new numerical model for geometric nonlinear analysis of thinshell structures based on a combined finitediscrete element method fdem. International journal of rock mechanics and mining sciences, 70. The combined finite discrete element method fdem proposed by munjiza is an innovative numerical technique to capture progressive damage. Each discrete element is discretized with its own mesh of finite elements and hence its deformability is enabled.
Purpose this paper aims to investigate the responses of laminated glass under soft body impact, including elastic impact and fracturefragmentation consideration. Combined finitediscrete element modelling of rock fracture. Finitediscrete element method fdem archives edem simulation. Simulation of crack induced nonlinear elasticity using the. A thesis submitted to the university of birmingham. There are multiple interactions between particles subjected to large movement during compaction by a tool set. Computer solutions to certain problems of chapter 8 see chapter problems are also included at the end of chapter 8. A combined finitediscrete element method fdem is proposed to model the dynamic fracture, fragmentation, and resultant muckpiling process during mining production by blast in underground mine.
The aims of this work deals with a new 3d numerical method to simulate an impact on a concrete structure. On the use of combined finitediscrete element method for. The combined finitediscrete element method pdf free. Modeling earthquakes with offfault damage using the combined. Keywords combined finite discrete element method hybrid optimization software suite massively parallel 2d3d multiphysics thm simulations large. Modeling simultaneous multiple fracturing using the combined. The combined finite discrete element method fdem was first conceived in 1989 by munjiza while working at. The applicability of the approach is demonstrated by the solution of a range of examples relevant to various industrial sections. Our present combined finitediscrete element method involves not only a large number of irregular particles but also the inversion of matrices for the solution of deformation within each particle. Thus, finite element based analysis of continua is combined with discrete element based transient dynamics, cd and contact interaction solutions. Viennamath provides the symbolic math kernel, viennagrid with viennadata allows for a generic grid handling and quantity storage. The finite element representation of the solid region is combined with progressive fracturing, which leads to the formation of discrete elements, which may be composed of one or more deformable finite elements. Combined finitediscrete element modelling of surface. A smooth contact algorithm for the combined finite discrete element.
Finitediscrete element models for assessment and repair of. The essential components of hybrid finitediscrete element methods. Fortunately, a recently developed numerical method the combined finitediscrete element method fdem 3033, which merges finite element based analysis of continua with discrete element based transient dynamics, contact detection and contact interaction solutions of discontinua, provides a natural solution for such simulation. With advances in computing power and numerical algorithms for nearest neighbor sorting, it has become possible t. Space decomposition based parallelization solutions for. Feb 01, 2002 combined finitediscrete element and explicitimplicit simulations of peen forming process combined finitediscrete element and explicitimplicit simulations of peen forming process k. Yhfdem ide, used for modelling rock blasting in this study was originally developed by the authors 40 and recently parallelized on the basis of generalpurpose graphicprocessingunit gpgpu by the authors. The combination of fem and dem procedures seems therefore a winwin. Modeling of stickslip behavior in sheared granular fault. The combined finitediscrete element method bridges the gap between finite and discrete element methods. Viennafem is built on top of the following libraries.
The essence of this method is to merge the algorithmic advantages of dem with. Researcharticle modeling simultaneous multiple fracturing using the combined finitediscrete element method quanshengliu,1 leisun,1 pingliliu,2 andleichen3 schoolofcivilengineering,wuhanuniversity,wuhan,china. The essence of this method is to merge the algorithmic advantages of dem with those of the fem. Combined finitediscrete element modelling of dynamic rock.
Numerical analysis of 3d drystone masonry structures by combined. A model for thin shells in the combined finitediscrete. Initially fdem was implemented only in 2d, with the first software platform being subsequently developed in 1990s at the university of wales, swansea and at the massachusetts institute of technology mit. In the proposed modelling approach each stone block is modelled as a discrete element which is discretized by constant strain triangular finite elements. This paper presents the application of the combined finitediscrete element method. The combined finite discrete element method is a relatively new computational tool aimed at problems involving static and or dynamic behaviour of systems. A framework for grand scale parallelization of the.
A combined finitediscrete element method fdem used in the following sections has been developed by liu et al. Viennamath provides the symbolic math kernel, viennagrid with viennadata allows for a generic grid handling and quantity storage, while viennacl provides the linear solvers and gpu acceleration. The combined finitediscrete element method fdem fdem was originally developed by munjiza in the early 1990s to simulate the material transition from continuum to discontinuum 33. Investigation on the impact damage of glass using the. Abaqus implementation of phase field a phasefield model for brittle fracture is implemented in the commercial finite element software ab. This paper uses the combined finitediscrete element method fdem. Designmethodologyapproach the simulation uses the combined finitediscrete element method fdem which combines finite element mesh into discrete elements, enabling the accurate prediction of contact force and deformation. It combines finite element mesh into discrete elements and. Numerical analysis of flyer plate experiments in granite. Space decomposition based parallelization solutions for the. This paper discusses the issues involved in the development of combined finitediscrete element methods. The combined finite discrete element method is a relatively new computational tool aimed at problems involving static and or dynamic. Pdf soft impact responses of laminated glass simulated. The combined finitediscrete element method fdem the fdem was originally developed by munjiza in the early 1990s to simulate the transition behavior of material from continuum to discontinuum munjiza, 1992.
Introduction to the combined finitediscrete element method. From its inception, the combined finite discrete element method has used a distributed potential contact force algorithm to resolve interaction between finite. A model for thin shells in the combined finitediscrete element method. In numerical modeling, the interaction of nonuniform blast loading on the concrete slab was modeled using the incorporation of the finite element method with a crack rotating approach.
Stability analysis of dry stone lintels using combined finite. Blast simulation in underground mines using the combined. This volume has been considerably reorganized from the previous one and is now, we believe, better suited for teaching fundamentals of the. Masonry is a heterogeneous structural material consisting of bricks joined by mortar layers. Modeling of stickslip behavior in sheared granular fault gouge using the combined finitediscrete element method ke gao 1, bryan j. Material rupture is modelled with a cohesive fracture criterion, evaluating the process from continua to discontinua. Designmethodologyapproach in the method, elastic beams and their fracture are modelled according to fem by using nonlinear timoshenko beam elements and. Pdf soft impact responses of laminated glass simulated with. Fracture failure of reinforced concrete slabs subjected to. The finite element representation of the solid region is combined with progressive fracturing, which leads to the.
Discrete element methods have been a common point for researchers to publish advances in the method and its applications. Combined finitediscrete element analysis of rock slope. Therefore, there are several numerical challenges that need to be dealt with effectively. Seismic analysis of dry stone masonry structures based on. The combined finitediscrete element method is a recently developed numerical method aiming at modeling failing, fracturing and fragmenting solids. Since the joint elements introduced by goodman in the fem goodman.
The mode i fracture model was extended for glass by changing the strain softening curve to a. As such, it has become a tool of choice for problems involving fracturing, fragmenting and. This series of talks will cover the latest research developments and new methods in multibody and frac ture simulations with finite element. Within the framework of femdem, discrete element method dem principles are.
The incorporation of deformation kinematics into the discrete element formulation has also led naturally to a combined finitediscrete element approach in which the problem is analysed by a combination of the two methods 5,14,16. Pdf recent developments in the combined finitediscrete. Fdem inherits the advantages of fem in describing elastic deformations and the capabilities of dem in capturing discontinuities. The fdem is a special branch of the discrete element method dem and is developed since 1990s munjiza, 1992. Additionally, the combined finitediscrete element method has the speciality that discrete elements can fracture and fragment, thus the number of discrete elements comprising problem may vary during the analysis.
The theory of the fdem can be broken down into the following parts. A typical combined finite discrete element simulation comprises large number thousands or even millions of particles. Applied sciences free fulltext threedimensional combined. A bridging subdomain is used, the hamiltonian is chosen as. Some other numerical methods used for the analysis of shell structures include meshfree krysl and belytschko, 1996. A combined finitediscrete element method is proposed for the prediction of reinforced concrete structure response under severe dynamic loads as impacts due to natural or anthropic hazards. Contents 1 introduction to the finite element method 1 1. Though dem is very closely related to molecular dynamics, the method is generally distinguished by its inclusion of rotational degreesoffreedom as well as stateful contact and often complicated geometries. It combines finite element mesh into discrete elements and overcomes the limitations of both the fem and dem. One of such combined methods is the combined finitediscrete element method developed by ante munjiza 14, 15.
A framework for grand scale parallelization of the combined. The discrete element method dem developed originally by cundall and strack 3 is that the domain of interest is treated as an assemblage of rigid. The key component of the proposed method, that is, transition from continuum to discontinuum through fracture and fragmentation, is introduced in detail, which makes the proposed method superior to. In this study, we utilized the fdembased software tool, hossedu hybrid optimiza. In a finitediscrete element analysis the main issues which require consideration, for both dynamic and quasistatic behaviour, are. The remaining boundaries in the model are left as free. In fdem the solid domains called discrete elements are discretized into. Numerical analysis of flyer plate experiments in granite via. This fracturing behaviour is described by joint elements implemented into the finite element mesh. Ec soft impact responses of laminated glass simulated with. Within the framework of femdem, discrete element method dem principles are used to model interaction between different solids, whose deformation is. Based on the combined finitediscrete element method fdem, a twodimensional coupled hydrothermal model is proposed. Introduction to the combined finite discrete element method. Structural applications of the combined finitediscrete element method.
A comprehensive treatment of the combined finite e. Hybrid finitediscrete element modeling of geomaterials fracture and. Locally, the discrete element model deals with nonlinear phenomena, far from impacted zone the finite element method allows the reduction of both times of modeling and computation. Jul 31, 2020 the combined finitediscrete element method fdem was first conceived in 1989 by munjiza while working at tohoku university in sendai, japan. Dec 01, 2014 the combined finitediscrete element method fdem couples dem and fem by generating a finite element mesh separately for each particle discrete element located within the computational domain. Pdf some aspects of combined finitediscrete element. Combined finitediscrete element method the combined finitediscrete element method femdem 3335 is based on the simulation of behaviour of a great number of discrete elements that can be in an interaction. Aug 21, 2009 purpose the purpose of this paper is to present a 2d combined finite. Combined finitediscrete element modelling of surface subsidence associated with block caving mining. Simulation of crack induced nonlinear elasticity using the combined.
The interaction among individual elements is then computed based of prescribed cohesion and friction laws. This paper presents the performance of a combined finitediscrete element method femdem for seismic analysis of dry stone masonry structures. Modeling simultaneous multiple fracturing using the. Oct 02, 2019 the finite element methods notes pdf fem notes pdf book starts with the topics covering introduction to finite element method, element shapes, finite element analysis pea, fea beam elements, fea two dimessional problem, lagrangian serenalipity elements, isoparametric formulation, numerical integration, etc. A discrete element method, also called a distinct element method, is any of a family of numerical methods for computing the motion and effect of a large number of small particles. Pdf some aspects of combined finitediscrete element method. It features a symbolic math kernel, which manipulates the strong or weak form of the problem and automatically derives the discrete form. A discrete element method dem, also called a distinct element method, is any of a family of. Numerical resultsby using the combined finitediscrete element method, the pharmaceutical powder compaction process can be simulated for different particle sizes and size distribution, and shapes. The combined finitediscrete element method pdf free download. Pmma representthelongitudinal impedanceofgraniteandpmma,respectively.
Stability analysis of dry stone lintels using combined. Here, we introduce a twodimensional implementation of the combined finite discrete element method fdem, which merges the finite element method fem and the discrete element. In a finitediscrete element analysis the main issues which require consideration, for both dynamic and quasistatic. The essence of this method is to merge the algorithmic advantages of the dem with those of the finite element method fem. The basis is now renamed the finite element method. A 2d coupled hydrothermal model for the combined finitediscrete element method. Pdf combined finitediscrete element method for simulation of. Combined finitediscrete element and explicitimplicit. Finitediscrete element models for assessment and repair. Pdf the combined finitediscrete element method semantic. Combined finite discrete element method is intended for the dynamic analysis of a large number of mutually interacting discrete elements, where. It uses a finite element method to solve for stress and deformation filed inside the discrete. The method can account for a range of material properties and also mixture proportions.
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