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# FEA / Analyse aux éléments finis

Finite element analysis (FEA) is the modeling of products and systems in a virtual environment, for the purpose of finding and solving potential (or existing) structural or performance issues. FEA is the practical application of the finite element method (FEM), which is used by engineers and scientist to mathematically model and numerically solve very complex structural, fluid, and multiphysics problems. FEA software can be utilized in a wide range of industries, but is most commonly used in the aeronautical, biomechanical and automotive industries.

A finite element (FE) model comprises a system of points, called “nodes”, which form the shape of the design. Connected to these nodes are the finite elements themselves which form the finite element mesh and contain the material and structural properties of the model, defining how it will react to certain conditions. The density of the finite element mesh may vary throughout the material, depending on the anticipated change in stress levels of a particular area. Regions that experience high changes in stress usually require a higher mesh density than those that experience little or no stress variation. Points of interest may include fracture points of previously tested material, fillets, corners, complex detail, and high-stress areas.

FE models can be created using one-dimensional (1D beam), two-dimensional (2D shell) or three-dimensional (3D solid) elements. By using beams and shells instead of solid elements, a representative model can be created using fewer nodes without compromising accuracy. Each modeling scheme requires a different range of properties to be defined, such as:

• Section areas
• Moments of inertia
• Torsional constant
• Plate thickness
• Bending stiffness
• Transverse shear

To simulate the effects of real-world working environments in FEA, various load types can be applied to the FE model, including:

• Nodal: forces, moments, displacements, velocities, accelerations, temperature and heat flux

Types of analysis include:

• Linear statics: linear analysis with applied loads and constraints that are static
• Nonlinear statics and dynamics: effects due to contact (where one part of the model comes into contact with another), nonlinear material definitions (plasticity, elasticity, etc.) and large displacement (strains that exceed small displacement theory that limits a linear analysis approach)
• Normal modes: natural frequencies of vibration
• Dynamic response: loads or motions that vary with time and frequency
• Buckling: critical loads at which a structure becomes unstable
• Heat transfer: conduction, radiation and phase change

Typical results calculated by the solver include:

• Nodal displacements, velocities and accelerations
• Elemental forces, strains and stresses

## Benefits of FEA

FEA can be used in new product design, or to refine an existing product, to ensure that the design will be able to perform to specifications prior to manufacturing. With FEA you can:

• Predict and improve product performance and reliability
• Reduce physical prototyping and testing
• Evaluate different designs and materials
• Optimize designs and reduce material usage

## FEA Software

Here are examples of FEA software applications:

Simcenter 3D is a unified, scalable, open and extensible environment for FEA with connections to design, 1D simulation, test and data management. Simcenter speeds the FEA process by combining best-in-class geometry editing, associative simulation modeling and multi-discipline solutions embedded with industry expertise. Simcenter 3D integrates fast and accurate solvers that power structural, acoustics, flow, thermal, motion and composites analyses, as well as optimization and multiphysics simulation.

NX Nastran is a finite element solver that analyzes stress, vibration, structural failure/durability, heat transfer, noise/acoustics and flutter/aeroelasticity.

LMS Samtech contains a finite element method (FEM) solver suite to simulate critical performance engineering attributes for mechanical systems. It is designed to fulfill the precise requirements of applications such as wind turbine development, rotor dynamics, structural and thermal analyses, and composites. Its high-end solvers handle both nonlinear FEM and multi-body simulation. The software also features a high-level CAE integration platform for managing the aviation engineering process.

STAR-CCM+ is a stand-alone simulation solution for computational fluid dynamics (CFD), computational solid mechanics (CSM), heat transfer, particle dynamics, reacting flow, electrochemistry, electromagnetics, acoustics and rheology. STAR-CCM+ delivers accurate and efficient simulation technologies through a single integrated user interface and automated workflows. This facilitates the analysis and exploration of complex real-world problems.

HEEDS provides an efficient and easy to use design exploration framework. Workflows are easily automated through integration with your current design and simulation tools. HEEDS automatically explores the design space to quickly identify solutions that meet your goals and constraints such as reducing product costs while keeping stresses below acceptable limits.

Femap est un outil de pré et post-traitement, natif Windows, neutre au niveau du solveur et indépendant par rapport à l'outil de CAO utilisé, pour la MEF d'ingénierie avancée. Il fournit aux ingénieurs et aux analystes une solution de modélisation pour l'analyse par éléments finis afin de traiter même les tâches les plus complexes de manière facile, précise et économique.

Solid Edge Simulation is a built-in FEA tool for design engineers to validate part and assembly designs digitally within the Solid Edge environment. Based on proven Femap finite element modeling technology, Solid Edge Simulation significantly reduces the need for physical prototypes, thereby reducing material and testing costs, while saving design time.

The following software components are used by FEA software developers as the foundation for their applications:

Parasolid is 3D geometric modeling component software, enabling users of Parasolid-based products to model complex parts and assemblies. It is used as the geometry engine in hundreds of different CAD, CAM and CAE applications.

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