Lecture

Finite Element Families

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

In course

ME-373: Finite element modelling and simulation

L'objectif de ce cours est d'apprendre à réaliser de manière rigoureuse et critique des analyses par éléments finis de problèmes concrets en mécanique des solides à l'aide d'un logiciel CAE moderne. ...

Description

This lecture covers an overview of Finite Element families, including Continuum Elements and Structural Elements. It explains the main families of Finite Elements, such as solid elements, shell elements, beam elements, and their formulations. The lecture also delves into specific examples like linear hexahedron finite elements and their basis functions.

Instructor

Edouard Boujo

Official source

Related concepts (32)

Database model

A database model is a type of data model that determines the logical structure of a database. It fundamentally determines in which manner data can be stored, organized and manipulated. The most popular example of a database model is the relational model, which uses a table-based format. Common logical data models for databases include: Hierarchical database model This is the oldest form of database model. It was developed by IBM for IMS (information Management System), and is a set of organized data in tree structure.

Hierarchical database model

A hierarchical database model is a data model in which the data are organized into a tree-like structure. The data are stored as records which are connected to one another through links. A record is a collection of fields, with each field containing only one value. The type of a record defines which fields the record contains. The hierarchical database model mandates that each child record has only one parent, whereas each parent record can have one or more child records.

Relational model

The relational model (RM) is an approach to managing data using a structure and language consistent with first-order predicate logic, first described in 1969 by English computer scientist Edgar F. Codd, where all data is represented in terms of tuples, grouped into relations. A database organized in terms of the relational model is a relational database.

Relational database

A relational database is a (most commonly digital) database based on the relational model of data, as proposed by E. F. Codd in 1970. A system used to maintain relational databases is a relational database management system (RDBMS). Many relational database systems are equipped with the option of using SQL (Structured Query Language) for querying and updating the database. The term "relational database" was first defined by E. F. Codd at IBM in 1970. Codd introduced the term in his research paper "A Relational Model of Data for Large Shared Data Banks".

Network model

The network model is a database model conceived as a flexible way of representing objects and their relationships. Its distinguishing feature is that the schema, viewed as a graph in which object types are nodes and relationship types are arcs, is not restricted to being a hierarchy or lattice. The network model was adopted by the CODASYL Data Base Task Group in 1969 and underwent a major update in 1971. It is sometimes known as the CODASYL model for this reason.

Related lectures (64)

Symmetry & Boundary Conditions

Explores symmetry and boundary conditions in finite element models, emphasizing the importance of maintaining symmetry for accurate modeling.

Meshing Algorithms Overview

Provides an overview of meshing algorithms for generating quality meshes in CAD software.

Modal Analysis & Buckling

Explains eigenvalue problems in Abaqus for modal analysis and buckling, covering theory, natural resonance frequencies, eigenmodes, free boundary conditions, and symmetries.

Convergence & Choice of Finite Element Discretizations

Explores convergence, numerical pathologies, and mesh convergence studies in finite element discretizations.

Modeling Interactions & Assemblies