Available at a lower price from other sellers that may not offer free prime shipping. Hydraulic fracturing is widely used in the exploitation of unconventional gas such as shale gas. In a finitediscrete element analysis the main issues which require consideration, for both dynamic and quasistatic. The combined finite discrete 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. The combined scaled boundary finitediscrete element. The work in this thesis adapts ideas from the field of compressive sensing cs that lead to new insights into acquiring and processing seismic data, where we can fundamentally rethink how we design seismic acquisition surveys and process acquired data to minimize acquisition and processingrelated costs. Simulation of crack induced nonlinear elasticity using the combined. Recent developments in the combined finitediscrete element. 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. Thus, finite element based analysis of continua is combined with discrete element based transient dynamics, cd and contact interaction solutions. Here, we introduce a twodimensional implementation of the combined finite discrete element method fdem, which merges the finite element.
The numerical modelling of masonry structures especially in the nonlinear range represents an. As such, it has become a tool of choice for problems involving fracturing, fragmenting and. The composite action of distinct interacting bodies is simulated numerically by applying the combined discrete finite element method. Applications of finitediscrete element modeling to rock. A typical combined finitediscrete element simulation comprises large number thousands or even millions of particles which are represented by a single discrete element.
Wiley blackwell free ebook download as excel spreadsheet. On the use of combined finitediscrete element method for. Thus, the study of hydraulic fracturing is of particular importance for petroleum industry. The combined finitediscrete element method fdem proposed by. The combined finitediscrete element method fdem proposed by munjiza is an innovative numerical technique to capture progressive damage and failure processes in rock. Space decomposition based parallelization solutions for. Thanks to the relatively inexpensive high performance hardware rapidly becoming available, it is possible to consider combined. The purpose of this paper is to present ygeo, a new numerical code for geomechanical applications based on the combined finitediscrete element method fdem. A discrete element method dem, also called a distinct element method, is any of a family of. 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.
Fdem is an innovative numerical technique that combines the advantages of continuumbased modeling approaches and discrete element methods to overcome the inability of these methods to capture progressive damage and failure. Kurt hensel 18611941 discovered the padic numbers around the turn of the century. Introduction to the combined finitediscrete element method. In chapter 4 we come into contact with our first random, or stochastic, proce. The new method is termed the combined finitediscrete element method. These exotic numbers or so they appeared at first are now wellestablished in the mathematical world and used more and more by physicists as well. Combined finitediscrete element method for simulation of. To assign boundary initial conditions to the nodes of the mesh, select bc or v0 on the toolbar, respectively and then select the desired nodes the same way as selecting elements. Current efforts towards dense sourcereceiver sampling and full azimuthal coverage to. Finitediscrete element models for assessment and repair of. The combined finite discrete element method is a relatively new computational tool. Viennamath provides the symbolic math kernel, viennagrid with viennadata allows for a generic grid handling and. Combined finitediscrete element method modeling of.
Within the context of rock mechanics, the combined finitediscrete element method fdem has been applied to many complex industrial problems such as block caving, deep mining techniques tunneling, pillar strength, etc. Agian, you can assign name to bc sets in boundary condition set combobox and pick color for the set. Pdf recent developments in the combined finitediscrete. Pdf hydraulic fracturing is widely used in the exploitation of. A gpubased coupled sphdem method for particlefluid flow with free surfaces. Masonry is a heterogeneous structural material consisting of bricks joined by mortar layers. The combined finitediscrete element method fdem merges the. Within the context of rock mechanics, the combined finite discrete element method fdem has been applied to many complex industrial problems such as block caving, deep mining techniques tunneling, pillar strength, etc. Several modifications of the well established finite element method have been performed to increase its robustness, always bearing in mind the permanent demands for calculation speed and the final quality of results. Space decomposition based parallelization solutions for the. The method combines aspects of both finite elements and discrete elements.
Once that the add boundary condition button is pressed, the current settings will be added to the internal database of bc and also displayed in a table on the right side of the page. New combined finitediscrete element numerical code. The combined finitediscrete element method is a recently developed numerical method aimed at modelling failing, fracturing andor fragmenting solids. 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.
Sep 22, 2015 hydraulic fracturing is widely used in the exploitation of unconventional gas such as shale gas. You can then assign a bc set to the selected nodes similar to how you assigned pr. Scribd is the worlds largest social reading and publishing site. Finitediscrete element models for assessment and repair. Pdf combined finitediscrete element method for simulation of. The combined finitediscrete element method for structural. The combined finite discrete element method can be an advantageous tool for modelling of masonry structures. Therefore, in the early 1990s the two above mentioned methods were combined and the resulting method was termed the combined finitediscrete element method femdem. A comprehensive treatment of the combined finite element discrete element method is.
Pdf combined finitediscrete element method for simulation. In this approach, all the particles are modelled within the framework of the dem. Viennafem is built on top of the following libraries. Solid domains are discretized into finite elements in the usual way dictated by the finite element method. The combined finitediscrete element method bridges the gap between finite and discrete element methods. The combined finite discrete element method bridges the gap between finite and discrete element methods. 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. The combined finite discrete element method fdem proposed by munjiza is an innovative numerical technique to capture progressive damage and failure processes in rock. Pdf discontinua modeling techniques, such as discrete element. The combined finitediscrete element method a natural extension. You can also specify element surface pressure traction. Introduction to the combined finite discrete element method.
Following the work by munjiza and owen, the combined finitediscrete element method has been further developed to various irregular and deformable particles in many applications including pharmaceutical tableting, packaging and flow simulations, and impact analysis. It features a symbolic math kernel, which manipulates the strong or weak form of the problem and automatically derives the discrete form. A framework for grand scale parallelization of the combined. Get your kindle here, or download a free kindle reading app. Abaqus implementation of phase field a phasefield model for brittle fracture is implemented in the commercial finite element software ab. Pdf slope failure of noncohesive media modelled with the. Fdem couples dem and fem by generating a finite element mesh separately for each particle discrete element located within the computational domain. A framework for grand scale parallelization of the combined finite. A bridging subdomain is used, the hamiltonian is chosen as a linear combination of discrete and continuum hamiltonians. The combined finite element discrete element method fdem is a hybrid computational method developed by that exploits the advantages of the finite element method fem e.
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