This paper presents the steps to achieve a fe model of the fsw process in the abaqusexplicit software, using the coupled eulerianlagrangian formulation cel, the johnsoncook constitutive. The arbitrary lagrangian eulerian ale method is an explicit numerical for mulation which has become a standard tool to solve large deformation problems in solid mechanics. Pdf application of the coupled eulerianlagrangian cel. Updated lagrangian formulation for incremental general nonlinear analysis. The finite element method for the analysis of nonlinear and. Adaptive meshing is supported for all stepdependent features. Lagrangian dynamics most of the material presented in this chapter is taken from thornton and marion, chap. Readers are referred to abaqus analysis users manual 22. There are two main ways of approaching problems that involve the motion of deformable materials the lagrangian way and the eulerian way. I will assign similar problems for the next problem set.
Simulation of end milling on fem using ale formulation. Mechanics is that lagrangian mechanics is introduced in its. Coupled euler lagrangian approach using abaqus explicit in the bird strike aircraft damage analysis 1. A benchmark example of a simple tank sloshing problem is included to evaluate the use of different fsi methods. Some topics can be found in the abaqus manual 14 and others are experience. However, its first application to metal cutting was reported by usui et al. Lagrangian and hamiltonian mechanics a short introduction. Dzierba sample problems using lagrangian mechanics here are some sample problems. Abaqus explicit arbitrary lagrangian eulerian formulation ale orthogonal cutting of aisi 1045 extended check out more machining tutorials.
Just for comparison, lsdyna, another fe software package, does report lagrangian strain. Eulerian elements may not always be 100% full of materialmany may be partially or completely void. The scheme is lagrangian and hamiltonian mechanics. Total lagrangian formulation where 0 e ij is the linear incremental strain, 0. The arbitrary lagrangian eulerian ale method is an explicit numerical formulation which has become a standard tool to solve large deformation problems in solid mechanics. I am suspecting the problem may be caused by the use of nonvector rotational variables. Konkol and balachowski, 2016 used abaqus to compare lagrangian and ale.
Adaptive meshing in abaqus explicit is intended to model largedeformation problems. Consequently, lagrangian mechanics becomes the centerpiece of the course and provides a continous thread throughout the text. The finite element method for the analysis of nonlinear. Hi everybody, i need to run a blast simulation in abaqus using cel technique. Eulerianbased finite element formulations or attached to material e. Airplane structures, composites, bird strike, impact damage, coupled eulerian lagrangian analysis, contact, high lift devices, abaqus explicit.
In general, the safest method for solving a problem is to use the lagrangian method and then doublecheck things with f ma andor. Coupled eulerianlagrangian abaqus dassault systemes. Before in tro ducing lagrangian mec hanics, lets dev elop some mathematics w e will need. The lagrangian f orm ulation of mec hanics reading assignmen t. Large displacements assumed in the analysis usually cause convergence problems. Escall on lecture 11 17 december, 20 institute of structural engineering method of finite elements ii 1. The interaction behaviour between the two is modelled by contact definition.
Principle of virtual work in terms of 2nd piolakirchhoff stresses and greenlagrange strains referred to the configuration at time t. This video is on cel modelling example in abaquscae 6. Arbitrary lagrangian eulerian finite element formulations applied to geotechnical problems montaser bakroon, reza daryaei, daniel aubram, frank rackwitz abstract. Bird strike damage analysis in aircraft structures using abaqusexplicit and coupled eulerian lagrangian approach. The tutorial is intended to serve as a quick introduction to the software for the students in professor des mane 4240civl 4240 course at rpi and. The approach taken is mathematical in nature with a strong focus on the.
Lagrangian elements are always 100% full of a single material, so the material boundary coincides with an element boundary. Lagrangian formulation, which is based on the concept of material coordinates lagrangian coordinates. The lagrangian formulation, in contrast, is independent of the coordinates, and the equations of motion for a noncartesian coordinate system can typically be found immediately using it. Arbitrary lagrangianeulerian finite element formulations. As a result, the deformation process is split into a pure lagrangian phase and a pure eulerian phase combined with a smoothing phase. The lagrangian point of view is used for the mechanical modeling capabilities in abaqus. I dont really know the procedure used in abaqus, but several fe codes prefer a tl approach for. How to model eulerian regions in a coupled eulerianlagrangian simulation in abaqus.
Ivancevic department of aeronautical engineering, faculty of mechanical engineering and naval. However, its first application to metal cutting was. The finite element method for the analysis of nonlinear and dynamic systems prof. Total and updated lagrangian formulations imechanica. Lagrangian formulation was used by most of the researchers, except strenkowski, moon, and athavale 5, 6 that prefer to use the eulerian. Lagrangian mechanics our introduction to quantum mechanics will be based on its correspondence to classical mechanics. First that we should try to express the state of the mechanical system using the minimum representation possible and which re ects the fact that the physics of the problem is coordinateinvariant. The main improvement has been achieved by replacing the lagrange bird model with the coupled eulerian lagrangian formulation implemented in abaqus. How to model eulerian regions in a coupled eulerian. Paper open access related content numerical simulation. Abaqus users question about geometric nonlinearity. Both methods give exactly the same equations kr mgcos. For uel, i think the user may choose either formulating in updated or total lagrangian. The purpose of this technique is to avoid mesh problems when performing simulations that involve highextreme deformations.
Ale methods use a generalized formulation and capture the advantages of. The impacting forces are transferred to the lagrangian structure through eulerian lagrangian contact which is based on the penalty contact algorithm. Lagrangian formulation thats the energy formulation now onto the lagrangian formulation. Bird strike damage analysis in aircraft structures using. Some models parts tools are described by updated lagrangian formulation, other parts material are described. As a preliminary analysis perform free vibration analysis to obtain 30 vibration modes and their natural frequencies. Compared to the classic lagrangian modeling of the bird, the analysis has proven to be more stable, and the results, such as and damage areas, physically more realistic. Abaqus explicit arbitrary lagrangian eulerian formulation.
Then he told me something i have always found fascinating. Mar 03, 2017 this video is on cel modelling example in abaquscae 6. Coupled euler lagrangian approach using abaqusexplicit in the bird strike aircraft damage analysis i. Introduction to lagrangian and hamiltonian mechanics. The coupled eulerianlagrangian cel approach in abaqus which provides engineers and scientists with the ability to simulate a class of problems where the interaction between structures and fluids is. A students guide to lagrangians and hamiltonians a concise but rigorous treatment of variational techniques, focusing primarily on lagrangian and hamiltonian systems, this book is ideal for physics, engineering and mathematics students. This paper presents the steps to achieve a fe model of the fsw process in the abaqus explicit software, using the coupled eulerian lagrangian formulation cel, the johnsoncook constitutive. A lagrangian integration point finite element method for.
Updated lagrangian formulation for incremental general nonlinear analysis principle of virtual work in terms of 2nd piolakirchhoff stresses and greenlagrange strains referred to the configuration at time t. This new modelling technique enables better capturing of fluidlike bird behaviour upon impact in the velocity range at which bird strikes usually occur. Paper open access related content numerical simulation of the. This video shows you how to develop cel simulation model with example enables you to practice and reproduce the. In a pure lagrangian formulation each individual node of the computational mesh is permanently connected to the same material point during motion. At this point it seems to be personal preference, and all academic, whether you use the lagrangian method or the f ma method. Adaptive meshing and distortion control imechanica. Although the adaptive meshing techniques and the user interface are similar in abaqus explicit and abaqus standard, the usecases and the level of functionality are different.
Before cel, tank sloshing in abaqus involved modeling the fluid as a deformable mesh within classical lagrangian framework 1. Incremental stress and strain decompositions in the updated lagrangian form of the principle of virtual work. Interaction between structure and water in seismic analyses of nuclear facilities cecilia rydell1, tobias gasch 2, luca facciolo3, daniel eriksson and richard malm4. The adaptive meshing implementation in abaqusexplicit is very general adaptive meshing is very costeffective in an explicit framework. The new coupling of the eulerian domain and lagrangian domain makes new types of analysis capabilities available that may not have been available before, one of them being sloshing in a flexible tank. Application of coupled eulerianlagrangian approach in metal forming simulations numerical simulations of materials forming processes require both powerful computers and advanced software. The uncoupled approach has some advantages with respect. Free abaqus tutorials to build and expand your experience on simulia abaqus fea software. An introduction to lagrangian and hamiltonian mechanics. Improving mesh quality increases the stable time increment size, which makes up for the added cost of the adaptive mesh increments. Chapter 3, elements, describes the element formulations. Lagranges equations are also used in optimization problems of dynamic systems.
Abaqus uses the updated lagrangian formulation stress measure abaqus always calculates cauchy true. The paperboard however is modeled using the lagrangian description according to common practice at tetra pak. The coupled eulerian lagrangian cel approach in abaqus which provides engineers and scientists with the ability to simulate a class of problems where the interaction between structures and fluids is important. The main task of the thesis is to evaluate if the recently implemented coupled eulerian lagrangian formulation in abaqus is a proper strategy of modelling the the sealing process. The impacting forces are transferred to the lagrangian structure through eulerianlagrangian contact which is based on the penalty contact algorithm. In this handout, we will discuss a lagrangian finite element formulation for large deformations. Example 1 in figure 1 we show a box of mass m sliding down a ramp of mass m. Coupled eulerian lagrange cel analysis with abaqus. Advantages of arbitrary lagrangian eulerian finite element techniques the arbitrary lagrangian eulerian ale is a finite element formulation in which the computational system is not a prior fixed in space e. The ramp moves without friction on the horizontal plane and is located by coordinate x1. Learn how to setup a coupled eulerianlagrangian cel model of the moulding process of a polymeric bottle. An important concept is that the equations of motion of classical mechanics can be. I tried to search its documentation, but didnt find any relevant information. The adaptive meshing technique in abaqus combines the features of pure lagrangian analysis and pure eulerian analysis.
Alebased finite element simulations can alleviate many of the. Polymer flow in package sealing process a coupled eulerian. Advantages of arbitrary lagrangianeulerian finite element techniques the arbitrary lagrangianeulerian ale is a finite element formulation in which the computational system is not a prior fixed in space e. Abaqus high level of detail manual design of workpiece and tool, free model. Nonlinear elastic analysis using abaqus 24 2d solid continuum elements plane strain. Apr 12, 2016 abaqus explicit arbitrary lagrangian eulerian formulation ale orthogonal cutting of aisi 1045 extended check out more machining tutorials. Visit the simulia resource center for more customer examples. Hi astlaia2002, it is stated that the elements are formulated in the current configuration using current nodal positions when nlgeom option is specified abaqus standard manual analysis analysis types introduction therefore, the updated lagrangian formulation is used when nlgeom is specified. For some reason, i am writing a finite element program using the timoshenko beam element and total lagrangian formulation for geometric nonlinear analysis. Contrary to the lagrangian formulation, is the eulerian formulation where the mesh is spatially fixed. By contrast, in an eulerian analysis nodes are fixed in space, and material flows through elements that do not deform. How to model eulerian regions in a coupled eulerian lagrangian simulation in abaqus.
Lagrangian mechanics is widely used to solve mechanical problems in physics and when newtons formulation of classical mechanics is not convenient. Examples in lagrangian mechanics bloomington, indiana. It is more suitable for fluid flow problems, which involves a control volume. Coupled euler lagrangian approach using abaqus explicit in.
The lagrangian formalism when i was in high school, my physics teacher called me down one day after class and said, you look bored, i want to tell you something interesting. Total lagrangian explicit dynamics finite element algorithm for. Eulerian analysis massachusetts institute of technology. The tutorial is intended to serve as a quick introduction to the software for the students in professor des mane 4240civl 4240 course at rpi and should, in no way, be deemed as a replacement of the official documentation distributed by the company that sells this software. Arbitrary lagrangianeulerian finite element formulations applied. Application of coupled eulerian lagrangian approach in metal forming simulations numerical simulations of materials forming processes require both powerful computers and advanced software. These approaches are distinguished by three important aspects. This paper introduces the coupled eulerianlagrangian cel formulation, in which the. Coupled euler lagrangian approach using abaqus explicit.
Hyperelastic material analysis using abaqus element,typec3d8rh,elsetone. This additivity states that the equations of motion of part a can not be dependent on. In our ellipsis code, the problem domain is represented by an eulerian mesh and an embedded set of lagrangian integration points or particles. Theory, implementation, and practice november 9, 2010 springer. Its original prescription rested on two principles.
Abaqus explicit arbitrary lagrangian eulerian formulation ale. When does abaqus use the total lagrangian and when the updated lagrangian formulation. Application of an uncoupled aleformulation to confined. The main task of the thesis is to evaluate if the recently implemented coupled eulerianlagrangian formulation in abaqus is a proper strategy of modelling the the sealing process. It gives no new information theres no advantage to it. When does abaqus use the total lagrangian and when the.
An important concept is that the equations of motion of classical mechanics can be based on a variational principle. It does not attempt to minimize discretization errors in smalldeformation analyses. Abaqus coupled eulerian lagrangian cel modelling tutorial. This expression is written in abaqus theory manual as. Lagrangian mechanics applies to the dynamics of particles, while fields are described using a lagrangian density.