Introduction
FEM
FE model
Solution
Visualization
Abaqus
Finite element method - tutorial no. 1
´ Martin NESLADEK Faculty of mechanical engineering, CTU in Prague
13th October 2015
Finite element method - tutorial no. 1 1 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Introduction to the tutorials E-mail:
[email protected] Room no. 622 (6th floor - Dept. of mechanics, biomechanics and mechatronics) Consultations: every Tuesday at 10:45 - 12:15 Tutorials to the FEM I. course: every even week at 16:00 - 17:30 in room no. 405b Lectures to the FEM I. course: every Friday from 10:45 in lecture ˇ room no. 366 (Mr. Spaniel)
Finite element method - tutorial no. 1 2 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Introduction to the tutorials
Topics of the tutorials: 1
Introduction to practical applications of the FEM - basic terminology, introduction to ABAQUS software (2 – 3 lessons)
2
Minimum total potential energy principle (2 lessons)
3
Application of the basic principles of the FEM to simple problems on mechanical response of bars and trusses (2 lessons)
Finite element method - tutorial no. 1 3 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Finite element method FEM is a numerical method for solving the partial differential equations (and their systems) on an arbitrary domain By using FEM we are able to solve: Mechanical response of solids - analysis of stress and strain fields of a single part or assembly Heat transfer - calculation of the temperature field Fluid flow - analysis of velocity and pressure fields Fluid-structure interaction ...
We restrict the FEM I. course to problems of the mechanical response of solids
Finite element method - tutorial no. 1 4 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Simulation procedure by using a FEM-based software
Finite element method - tutorial no. 1 5 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model
Finite element method - tutorial no. 1 6 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model
F1 F2
Finite element method - tutorial no. 1 7 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model
CAD model
F1 F2
discretization
Finite element method - tutorial no. 1 7 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model
CAD model
F1 F2
discretization nodes
Finite element method - tutorial no. 1 7 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model
CAD model
F1
elements
F2 discretization nodes
Finite element method - tutorial no. 1 7 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model
F1
F1 elements F2
F2 discretization nodes boundary conditions
Finite element method - tutorial no. 1 7 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model node – represents a material point of the body; equations of equilibrium of internal and external forces are assembled and solved in nodes
F1 elements F2
nodes boundary conditions
element – represents a volumetric subdomain of the body; topology of the elements is given by nodes; many types, regarding the topology, idealization of geometry (continuum el., shells, beams, truss) and physical nature of the problem, exist elements and nodes together form the finite element mesh boundary conditions – the kinematic and external load conditions Finite element method - tutorial no. 1 8 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model To simulate the material response as real as possible, a proper material model is needed:
σ
ϕ
E = tg(ϕ) εy ν=− εx ε
Finite element method - tutorial no. 1 9 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model
Finite element method - tutorial no. 1 10 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Preparation of an FE model
Finite element method - tutorial no. 1 11 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Solution
Finite element method - tutorial no. 1 12 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Solution
Solver generates and solves the system of linear equations Ku = f based on the parameters of the model. K – the global stiffness matrix u – the global vector of nodal displacements f – the global vector of external equivalent nodal forces Displacements are solved primarily u = K −1 f and the other variables are derived from them.
Finite element method - tutorial no. 1 13 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Solution
Finite element method - tutorial no. 1 14 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Visualization of analysis results
Finite element method - tutorial no. 1 15 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Visaulization of analysis results
Finite element method - tutorial no. 1 16 / 17
Introduction
FEM
FE model
Solution
Visualization
Abaqus
Installation of Abaqus
Installation files can be downloaded from the http://studium.fs.cvut.cz website (use the same login as to the other school systems), then switch to ”software/abaqus”directory At first, install the Abaqus documentation When installing the program, refer to elic.fsid.cvut.cz license server and port no. 1701 Windows 8+ is compatible only with Abaqus 6.13+ versions
Finite element method - tutorial no. 1 17 / 17
