**established finite element**- In established finite element methods, translations and rotations are assigned different degrees of freedom (d.o.f. (uni-kassel.de)

**nonconforming finite elemen**- D. Y. Shi and H. B. Guan, "A kind of full-discrete nonconforming finite element method for the parabolic variational inequality," Acta Mathematicae Applicatae Sinica , vol. 31, no. 1, pp. 90-96, 2008. (hindawi.com)

**Methods**- In most finite element methods based on the Ritz-Galerkin approach, the degrees of freedom are endowed with a straightforward physical meaning, and shape functions are defined on the basis of individual degrees of freedom. (uni-kassel.de)
- Smoothed finite element methods (S-FEM) are a particular class of numerical simulation algorithms for the simulation of physical phenomena. (wikipedia.org)
- It was developed by combining meshfree methods with the finite element method. (wikipedia.org)
- Finite element method Meshfree methods Weakened weak form Loubignac iteration Liu, G.R., 2010 Smoothed Finite Element Methods, CRC Press, ISBN 978-1-4398-2027-8. (wikipedia.org)
- Smoothed finite element methods (S-FEM): An overview and recent developments. (wikipedia.org)
- For nonlinear analysis, more specific methods like response surface modeling, particle swarm optimization, Monte Carlo optimization, and genetic algorithms can be used. (wikipedia.org)
- It outlines and analyses alternatives or methods of achieving the desired outcome. (wikipedia.org)
- Her research primarily focuses on the functional anatomy of extinct vertebrates, especially dinosaurs, using computational methods such as finite element analysis (FEA). (wikipedia.org)
- Conventional methods of slope stability analysis can be divided into three groups: kinematic analysis, limit equilibrium analysis, and rock fall simulators. (wikipedia.org)

**partial different**- This is a list of software packages that implement the finite element method for solving partial differential equations. (wikipedia.org)
- In the first step above, the element equations are simple equations that locally approximate the original complex equations to be studied, where the original equations are often partial differential equations (PDE). (wikipedia.org)

**method**- Finite element analysis (FEA) is a computerized method for predicting how a component/assembly will react to environmental factors such as forces, heat, and vibration. (npd-solutions.com)
- The finite element method works by breaking a real object down into a large number of elements (1000s or 100,000s of cubes), as shown in the following graphic. (npd-solutions.com)
- By contrast, the Logarithmic finite element method, or LogFE method defines degrees of freedom on the logarithmic space, or the Lie algebra associated with linear transformations (i.e. translations, rotations, dilatations and possibly transformations involving stretch or shear components) on the configuration space in the physical domain. (uni-kassel.de)
- Figure 2: Three-dimensional beam, subjected to given boundary conditions and kinematically modeled by the Logarithmic finite element method. (uni-kassel.de)
- An application of the finite element method to a class of thermally coupled non-Newtonian viscous incompressible flow problems is attempted in the present work. (bl.uk)
- The paper presents an application of the finite elements method for stress and strain analysis of the hot water boiler structure. (ebscohost.com)
- Finite element method finds application in the analysis of FRP composites due to its versatility in getting the solution for complex cases which are not possible by exact classical analytical approaches. (ebscohost.com)
- The analytical models will be analyzed and corrected using finite element method (FEM) to determine their validity under influence of. (ebscohost.com)
- Finite element method for analysis of tall buildings. (umac.mo)
- A finite element method which incorporates radiation boundary dampers is adopted to calculate the wave forces and other field variables in the direct interference model. (oregonstate.edu)
- Is Subject software a Finite Element Method (FEM) solver or a Finite Volume Method (FVM) solver? (eng-tips.com)
- Fracture resistance testing of the post/core/root complex, fracture analysis by microscopy and stress analysis by the finite element method were used for post evaluation. (scielo.br)
- For the finite element method, specimens of the fracture resistance test were simulated by computer modeling to determine the stress distribution pattern in the post systems studied. (scielo.br)
- Using the finite element method, Lewgoy, et al. (scielo.br)
- The finite element method (FEM) is a numerical method for solving problems of engineering and mathematical physics. (wikipedia.org)
- The finite element method formulation of the problem results in a system of algebraic equations. (wikipedia.org)
- A typical work out of the method involves (1) dividing the domain of the problem into a collection of subdomains, with each subdomain represented by a set of element equations to the original problem, followed by (2) systematically recombining all sets of element equations into a global system of equations for the final calculation. (wikipedia.org)
- Based on the finite element calculation method, Effel performs static and dynamic analyses of 2D or 3D buildings. (wikipedia.org)
- The fuzzy finite element method combines the well-established finite element method with the concept of fuzzy numbers, the latter being a special case of a fuzzy set. (wikipedia.org)
- Parabolic Equation Traditional finite element method is a well-established method to solve various problems of science and engineering. (wikipedia.org)
- So the material properties are actually uncertain and may be considered to vary in an interval or as fuzzy and in that case complex interval arithmetic or fuzzy arithmetic has to be considered in the analysis.Hence interval/fuzzy arithmetic is applied in the finite element method to solve a steady state heat conduction problem. (wikipedia.org)
- Application of fuzzy finite element method in the said problem gives fuzzy system of linear equations in general. (wikipedia.org)
- Finite element method Fuzzy number Fuzzy set Uncertainty Michael Hanss, 2005. (wikipedia.org)
- Fuzzy Finite Element Method for One-dimensional Steady State Heat Conduction Problem. (wikipedia.org)
- The dynamic design analysis method (DDAM) is a US Navy-developed analytical procedure for evaluating the design of equipment subject to dynamic loading caused by underwater explosions (UNDEX). (wikipedia.org)
- Dynamic Design Analysis Method (DDAM) Using MSC/NASTRAN" (PDF). (wikipedia.org)

**boundary**- The coupled boundary and finite. (ebscohost.com)
- The three-dimensional interference problems have been formulated by incorporating a fictitious bottom boundary in the finite element functionals. (oregonstate.edu)

**structural**- With FE modeling and analysis, product development engineers use mathematical-based modeling techniques to accurately describe how an automotive structural component or an aircraft engine or airframe will perform in the real world. (sme.org)
- Finite element software traces its lineage back to the 1960s, when the US government developed the original NASA Structural Analysis System (NASTRAN) code for CAE simulation before releasing it into the public domain, noted Meintjes, who spent 30 years at GM in product engineering development. (sme.org)
- At Outsource2india, we have a team of qualified and experienced mechanical engineers who are capable of conducting various types of analysis such as structural (fatigue, strain, stress, and deformation), thermal (radiation, conduction and convection) fluid flow (velocity, pressure and flow) and coupled field analysis. (outsource2india.com)
- Isoparametric curved elements with quadratic shape functions are used in this study to represent the structural geometries and the inner fluid domain variables. (oregonstate.edu)
- Finite element model updating in structural dynamics. (wikipedia.org)
- Finite Element Model Updating Using Computational Intelligence Techniques: Applications to Structural Dynamics. (wikipedia.org)
- Graitec local software packages include the following: Effel, a program of CAE / structural analysis and design. (wikipedia.org)
- Arche, a software application for CAE / reinforced concrete structural analysis and design. (wikipedia.org)
- For each structural element, Arche also automates the creation of reinforcement drawings. (wikipedia.org)
- Some of ADINA's nonlinear structural analysis code is offered as the NX Nastran Advanced Nonlinear module, Sol 601/701. (wikipedia.org)
- As a result of this agreement, some of ADINA's nonlinear structural analysis capabilities are now offered with NX Nastran by Siemens PLM Software. (wikipedia.org)
- Furthermore, as part of the ADINA suite, Femap can be used for the pre- and post-processing of ADINA data in structural, CFD, and FSI analyses. (wikipedia.org)
- In 1999, Ansys acquired Centric Engineering Systems, a private company based in California that developed fluid, structural and thermal analysis software. (wikipedia.org)
- Structural design of the box-girder bridge was guided by two applications of finite modeling. (wikipedia.org)

**engineers**- Prior to the development of FEA tools, engineers employed integral and differential calculus techniques to solve engineering analysis problems. (npd-solutions.com)
- At the time, engineers performed finite element analysis (FEA) by hand. (wikipedia.org)
- Today engineers have a lot of possibilities to use analysis software, ranges from simple limit equilibrium techniques through to computational limit analysis approaches (e.g. (wikipedia.org)

**NASTRAN**- The AUI can be used to import solid models, and finite element models in Nastran format, providing an interface to many CAD and CAE packages. (wikipedia.org)

**algorithms**- In comparison to sequential finite element algorithms additional problems arise regarding mainly the data structure, the mesh refinement and the domain decomposition. (asce.org)
- The validity of the present finite element algorithms, both in two- and three-dimensional formulations, are studied extensively. (oregonstate.edu)

**mesh**- You're building up this CAD model, breaking it into a finite element model, and the process of doing that is called meshing, creating a finite element mesh. (sme.org)
- The finite element result is questionable unless it is obtained from converged mesh and. (ebscohost.com)
- Analysis based on the mathematical modeling that examines the deformations under load of a model consists of a mesh of elements with given mechanical properties [ 12 ]. (hindawi.com)
- It includes the use of mesh generation techniques for dividing a complex problem into small elements, as well as the use of software program coded with FEM algorithm. (wikipedia.org)
- The essential idea in the S-FEM is to use a finite element mesh (in particular triangular mesh) to construct numerical models of good performance. (wikipedia.org)

**approximations**- D. Y. Shi, S. P. Mao, and S. C. Chen, "A class of anisotropic Crouzeix-Raviart type finite element approximations to the Signorini variational inequality problem," Chinese Journal of Numerical Mathematics and Applications , vol. 27, no. 1, pp. 69-78, 2005. (hindawi.com)
- The results of theoretical numerical analysis for these approximations are briefly summarized and a few possible modifications to improve the numerical performance are suggested. (bl.uk)

**computational**- FEA as applied in engineering is a computational tool for performing engineering analysis. (wikipedia.org)

**fluid**- A class of first order hyperbolics related to the deformation of fluid particles are also treated numerically using finite elements with the balancing dissipation. (bl.uk)
- In the 2000s, Ansys made numerous acquisitions of other engineering design companies, acquiring additional technology for fluid dynamics, electronics design, and other physics analysis. (wikipedia.org)
- In 1992, SASI acquired Compuflo, which marketed and developed fluid dynamics analysis software. (wikipedia.org)

**Numerical Analysis**- It is now also used in education, in particular the teaching of linear algebra, numerical analysis, and is popular amongst scientists involved in image processing. (wikipedia.org)

**software**- Long the domain of engineering specialists, finite element analysis software is reaching a wider audience as the tools become easier to use and more accessible to non-expert users. (sme.org)
- CAD modeling was done within the Autodesk Inventor, and stress and strain analysis was performed in the ANSYS software. (ebscohost.com)
- GRAITEC products revolve around two software suites that coexist and provide workflow between CAD and Analysis / Design: GRAITEC Advance, an international software suite for the construction industry. (wikipedia.org)
- GRAITEC Advance is CAD integrated, analysis and design software for the construction and civil engineering field. (wikipedia.org)
- Advance Design is a FEM analysis and design software for reinforced concrete, steelwork and timber design integrating advanced functionalities for structure modeling, finite elements analysis and results post-processing. (wikipedia.org)
- One way to establish a fuzzy finite element (FE) analysis is to use existing FE software (in-house or commercial) as an inner-level module to compute a deterministic result, and to add an outer-level loop to handle the fuzziness (uncertainty). (wikipedia.org)
- By 1991 SASI had 153 employees and $29 million in annual revenue, controlling 10 percent of the market for finite element analysis software. (wikipedia.org)
- Ansys develops and markets finite element analysis software used to simulate engineering problems. (wikipedia.org)
- FEBio (finite elements for biomechanics) is a software package for finite element analysis and was specifically designed for biomechanics applications. (wikipedia.org)
- Compliance standards for DDAM simulation and analysis software are maintained by the Naval Sea Systems Command (NAVSEA). (wikipedia.org)

**ANSYS**- He founded Ansys under the name Swanson Analysis Systems Inc. (SASI) the next year, working out of his farmhouse in Pittsburgh. (wikipedia.org)

**stiffness**- With finite element analysis, you break the model into literally finite pieces, each with a kind of mapped stiffness. (sme.org)

**behavior**- The behavior of each little element, which is regular in shape, is readily predicted by a set of mathematical equations. (npd-solutions.com)
- The summation of the behavior of each individual element produces the expected behavior of the actual object. (npd-solutions.com)
- FEM Analysis for the Influence of manufacturing process Defects on Dynamic Behavior of Thin Chromium Microbeam. (ebscohost.com)

**optimization**- Finite element limit analysis, Discontinuity layout optimization) to complex and sophisticated numerical solutions (finite-/distinct-element codes). (wikipedia.org)

**geometry**- With Femap, users employ an array of tools that help to clean up geometry and help build a finite element model, he noted, and recent Femap releases added more automation to speed up the process. (sme.org)
- The advantage of using fuzzy numbers instead of real numbers lies in the incorporation of uncertainty (on material properties, parameters, geometry, initial conditions, etc.) in the finite element analysis. (wikipedia.org)

**nonlinear analysis**- ADINA is the acronym for Automatic Dynamic Incremental Nonlinear Analysis. (wikipedia.org)

**slope stability analysis**- The technique has been used most significantly in the field of soil mechanics for the determination of collapse loads for geotechnical problems (e.g. slope stability analysis). (wikipedia.org)
- Slope stability analysis is performed to assess the safe design of a human-made or natural slopes (e.g. embankments, road cuts, open-pit mining, excavations, landfills etc.) and the equilibrium conditions. (wikipedia.org)
- The main objectives of slope stability analysis are finding endangered areas, investigation of potential failure mechanisms, determination of the slope sensitivity to different triggering mechanisms, designing of optimal slopes with regard to safety, reliability and economics, designing possible remedial measures, e.g. barriers and stabilization. (wikipedia.org)
- Most slope stability analysis computer programs are based on the limit equilibrium concept for a two- or three-dimensional model. (wikipedia.org)

**model**- The word "finite" in "finite element analysis" indicates that there are a finite number of elements in a model, such as a piston. (npd-solutions.com)
- In this thesis a finite element model of a household washing machine cylinder is built and analysed in ABAQUS 6.9-2. (diva-portal.org)
- To validate the model the numerical analyses are compared with experimental results. (diva-portal.org)
- The non-linear effects were taken into account by defining the bilinear isotropic hardening model for all boiler elements. (ebscohost.com)
- Two types of designs without and with 3 mm intraradicular extensions, endocrown (E) and modified endocrown (ME), were modeled on a 3D Finite element (FE) model of the MFP. (hindawi.com)
- The simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem. (wikipedia.org)
- Finite element model updating is the process of ensuring that finite element analysis results in models that better reflect the measured data than the initial models. (wikipedia.org)
- The third task is to formulate a function which has the parameters that are expected to be design variables, and which represents the distance between the measured data and the finite element model predicted data. (wikipedia.org)
- Recently, finite element model updating has been conducted using Bayesian statistics which gives a probabilistic interpretation of model updating. (wikipedia.org)
- Probabilistic Finite Element Model Updating Using Bayesian Statistics: Applications to Aeronautical and Mechanical Engineering. (wikipedia.org)
- The DIDs for DDAM activities are the Analysis Report, Dynamic Shock, Mathematical Model Report, Dynamic Shock Analysis, and Dynamic Shock Analysis Extension Request. (wikipedia.org)

**structures**- In this article, the author discusses theory of Finite Element Analysis through a graph which describes how a material would respond to the loading, in terms of its stress and strain, and also analyzes application of Hooke's law and Young's Modulus to structures. (ebscohost.com)
- It conducts static and dynamic analysis of 2D and 3D structures, from bridges and culverts to buildings and towers. (wikipedia.org)
- ADINA R & D sponsored twelve bi-yearly academic conferences at M.I.T. on nonlinear finite element analysis, the proceedings of which are published by Elsevier in the international journal Computers & Structures. (wikipedia.org)

**application**- The traditional application of finite elements and simulation in general has been to validate completed designs, or proposed designs, and that's usually towards the end of the cycle, when the CAD is done and then people are essentially validating the designs," Meintjes said. (sme.org)
- FEM is best understood from its practical application, known as finite element analysis (FEA). (wikipedia.org)
- Melody, an application for CAE / steel framework analysis and design. (wikipedia.org)

**nodes**- how to do a linear extrapolation of stresses from integration points to the nodes in wedge element (6 nodes)? (eng-tips.com)
- Often, the components of the interpolant between two or more nodes belonging to a given finite element are then constructed separately on the basis the individual degrees of freedom, thus eliminating the interplay between translations and rotations that can be observed in the physical reality. (uni-kassel.de)
- In step (2) above, a global system of equations is generated from the element equations through a transformation of coordinates from the subdomains' local nodes to the domain's global nodes. (wikipedia.org)

**analytical**- Stability analyses of two-dimensional slope geometries using simple analytical approaches can provide important insights into the initial design and risk assessment of slopes. (wikipedia.org)

**results**- The experimental post (original and modified versions) presented similar fracture resistance and better results in the stress analysis when compared with the commercial post systems tested (08/2008-PA/CEP). (scielo.br)
- The Naval Sea Systems Command (NAVSEA) established a standardized format to describe the content and formats for publishing results of the DDAM analyses and technical reports. (wikipedia.org)

**intraradicular**- 8 (2001) and Henry 10 (1977), photoelastic stress and finite element analyses are valuable tools for the study of stress distribution related to intraradicular posts. (scielo.br)

**performs**- ADINA R & D performs all developments of the ADINA program in-house, and focuses on reliable and efficient finite element procedures. (wikipedia.org)
- After the analyst performs a natural frequency analysis to determine the mode shapes and natural frequencies, the DDAM process then uses an input spectrum of shock design values (i.e., displacements or accelerations) based on data from a series of unclassified Naval Research Laboratory reports (primarily MR-1396, Design Values for Shock Design of Shipboard Equipment and FR-6267, Background for Mechanical Shock Design of Ships). (wikipedia.org)

**conventional**- A finite element limit analysis (FELA) uses optimisation techniques to directly compute the upper or lower bound plastic collapse load (or limit load) for a mechanical system rather than time stepping to a collapse load, as might be undertaken with conventional non-linear finite element techniques. (wikipedia.org)

**linear**- This is the only equation one needs to know to understand linear finite element stress analysis. (npd-solutions.com)
- Lower bound limit analysis using finite elements and linear programming. (wikipedia.org)

**solids**- Finite element analysis, as related to the mechanics of solids, is the solution of a finite set of algebraic matrix equations that approximate the relationships between load and deflection in static analysis and velocity, acceleration, and time in dynamic analysis. (npd-solutions.com)
- More complicated elements include quadrilateral plates, curved shells, and 3D solids such as hexahedrons (bricks). (npd-solutions.com)

**describes**- This paper describes a parallel-adaptive finite element approach on a parallel transputer cluster of the MIMD type. (asce.org)

**solve**- To solve the problem, it subdivides a large problem into smaller, simpler parts that are called finite elements. (wikipedia.org)

**problems**- Limit analysis of plane problems in soil mechanics. (wikipedia.org)

**validate**- Finite Element Analysis (FEA) improves product quality , and is now extensively used in the industry to verify, validate or test design, and is proven to reduce design cycle time significantly by eliminating errors. (outsource2india.com)

**Simulation and Analysis**- Companies like General Motors have eliminated prototypes for iterative development testing, said Keith Meintjes, practice manager, Simulation and Analysis, CIMdata Inc. (Ann Arbor, MI). (sme.org)

**equation**- These equation sets are the element equations. (wikipedia.org)
- In applying FEA, the complex problem is usually a physical system with the underlying physics such as the Euler-Bernoulli beam equation, the heat equation, or the Navier-Stokes equations expressed in either PDE or integral equations, while the divided small elements of the complex problem represent different areas in the physical system. (wikipedia.org)

**mathematical**- On the Lie algebra, which is, by its mathematical construction, a vector space, rotations can be represented as translations, and it is this aspect which makes this approach particularly interesting for finite-element calculations that involve the modelling of rotations. (uni-kassel.de)

**methodology**- Choice of correct analysis technique depends on both site conditions and the potential mode of failure, with careful consideration being given to the varying strengths, weaknesses and limitations inherent in each methodology. (wikipedia.org)

**versatility**- The versatility of the present three-dimensional finite element algorithm is clearly demonstrated in the design analysis of a loading/unloading facilities, where important interference phenomena are identified. (oregonstate.edu)

**process**- Finite Element (FE) analysis has been a complementary tool in understanding the process of stress distribution providing information to describe how the design of restorations and restorative materials having widely different behavioral properties affect the teeth [ 11 , 12 ]. (hindawi.com)
- Among the fundamental elements of the design process are the establishment of objectives and criteria, synthesis, analysis, construction, testing and evaluation. (wikipedia.org)
- Establishing design requirements and conducting requirement analysis, sometimes termed problem definition (or deemed a related activity), is one of the most important elements in the design process, and this task is often performed at the same time as a feasibility analysis. (wikipedia.org)
- The feasibility study is an evaluation and analysis of the potential of a proposed project to support the process of decision making. (wikipedia.org)

**problem**- These techniques break down objects into an infinite number of elements for problem solving. (npd-solutions.com)

**reinforced concrete**- Dedicated to calculation of reinforced concrete buildings, Arche is used to conduct preliminary sizing of the structure and to perform simultaneously load distribution, wind bracing and seismic analyses. (wikipedia.org)

**limit analysis**- Limit analysis Lysmer, J. (1970). (wikipedia.org)

**mainly**- The analysis is mainly concerned with an evenly distributed load at a constant angular velocity. (diva-portal.org)

**concept**- We apply the concept of finite elements not only on the fine, but also on the coarse grid, thus making it possible to describe the mechanical properties not only of a complete SCNT configuration, but also of its components, in a concise way, and to reveal the scaling laws associated with the self-similarities that characterize super carbon nanotubes. (uni-kassel.de)

**stresses**- Flexi Post presented a higher retention force (1180 N) than C-Post (171 N). Photoelastic analysis indicated minimal stresses for both post systems, but Flexi Post distributed stress more symmetrically than C-Post. (scielo.br)

**strain**- Viscoelastic materials have elements of both of these properties and, as such, exhibit time-dependent strain. (wikipedia.org)
- Viscoelasticity is studied using dynamic mechanical analysis, applying a small oscillatory stress and measuring the resulting strain. (wikipedia.org)

**stress analysis**- In 1678, Robert Hooke set down the basis for modern finite element stress analysis as Hooke's Law. (npd-solutions.com)

**Mechanical**- The finite element is a small, but not infinitesimal, part of the mechanical structure being modeled. (npd-solutions.com)

**product**- Though it is called "analysis," in the product design cycle, it is used as a virtual prototyping tool to predict what is going to happen when the product is used. (npd-solutions.com)

**Materials**- Weibull analysis is a function usually has been used for calculating the probability for fracture in brittle materials. (hindawi.com)