FINITE ELEMENT MODELING AND COMPUTATIONS IN THE FIELD OF CIVIL ENGINEERING
Others languages : fr
This collaborative work elaborated by professionals confronted daily to the use of FE methods targets young engineers, who recently graduated from university and often studied exclusively the fundamentals of the FE calculations. Its objective is to answer some recurring questions (such as the mesh size, how to smoothen the peaks, …,) to avoid some issues, and to specify what the FE cannot do. The task force favored to name the project Recommendations and Advices rather than Guide because the document aims to share applications and discuss about finite elements and not create an exhaustive guideline.
Table of contents
EDITORIAL Finite Element (FE) calculations – a paradigm shift Words from the Scientific and Tec...
The AFGC Editorial
Thierry Kretz was the president of the AFGC Scientific and Technical Counsel when the finite elem...
Finite Element (FE) calculations – a paradigm shift
Finite Element (FE) calculations – a paradigm shift It is no exaggeration to say that FE calcula...
Preface - Words from the Scientific and Technical Council
Emmanuel Ferrier is the president of the AFGC Scientific and Technical Council. He shares with us...
Foreword
Introduction
PART 1 – THEORETICAL ELEMENTS
Chapter A. Introduction
Chapter A. Introduction When performing a FE calculation of a structure, the modeling assumption...
A1. General formulation for linear elastic calculations
A1. A general formulation for linear elastic calculations The two main formulations for linear c...
A2. The dimensionality of the model
A2. The dimensionality of the model It is very important to simplify the full-size problem to mo...
A3. Choosing the finite elements
A3. Choosing the finite elements Choosing the element is an important step. The goal is to selec...
A4. Interaction between the structure and its environment
A4. Interaction between the structure and its environment Taking into account the interactions b...
A5. Estimation of the quality of the approximated numerical solution
A5. Estimation of the quality of the approximated numerical solution The difference between the ...
Chapter B. Structural Dynamics
Chapter B. Dynamics For many applications such as seismic calculations, collisions, vibrations… ...
B1. Analysis based on a modal search
B1. Analysis based on a modal search A reminder of the concept of simple oscillator – Concept of...
B2. Analysis based on a direct temporal integration
B2. Analysis based on a direct temporal integration Schemes of integration Main Principles: T...
B3. Considering damping
B3. Considering damping The damping of a structure’s vibration is related to dissipation phenome...
B4. Specificities of the seismic analysis
B4. Specificities of the seismic analysis Spectral response – Specific case of earthquakes The ...
Chapter C. Static non-linear calculations
Chapter C. Nonlinear Static calculations Nonlinear calculations are generally time-demanding: a ...
C1. Mechanical non-linear problems
C1. Mechanical non-linear problems Description of possible non-linearities The non-line...
C2. Why performing non-linear calculations
C2. Why performing non-linear calculations As in many areas of physics, it is only reasonable to...
C3. Implementation
C3. Implementation The correct method consists of always proceeding step by step so that non-lin...
C4. Convergence issues? Symptoms and solutions
C4. Convergence issues? Symptoms and solutions As opposed to linear elastic calculations, non-li...
Chapter D. Civil Engineering
Chapter D. Civil Engineering D.1 Civil engineering materials D.1 Civil engineering materials D...
D1. Civil engineering materials
D1. Civil engineering materials The objective of this chapter is to highlight the peculiarities ...
D2. Different categories of structural elements
D2. Different categories of structural elements Here are presented the peculiarities of these e...
D3. The different construction phases
D3. The different construction phases Studying the phases of construction has two objectives: ...
Chapter E. Typical post-treatment in Civil Engineering
Chapter E. Typical post-treatment in Civil Engineering Introduction In civil engineering there ...
E1. Generalities
E1. Generalities The different post-treated quantities may change significantly according to the...
E2. Quantities in Dynamics
E2. Quantities in Dynamics Time-dependent analyses Post-processing of time-dependent qu...
E3. The specific case of reinforced concrete
E3. The specific case of reinforced concrete Overview of the common methods for designing th...
Chapter F – Geotechnical calculations
Chapter F – Geotechnical calculations Introduction Conventional methods for the design and dim...
F1. Geometric aspects
F1. Geometric aspects One of the advantages of the FE method is the possibility of describing t...
F2. Material non-linearities
F2. Material non-linearities In geotechnics, it is very rare to be able to study a structure ex...
F3. Soil-structure interactions
F3. Soil-structure interactions Geotechnical structures often combine layers of soil with metal ...
F4. Hydraulic effects
F4. Hydraulic effects Hydromechanical coupling Another peculiarity of geotechnical calc...
F5. Uncertainties and recommendations
F5. Uncertainties and recommendations Uncertainties There are many sources of uncertai...
F6. Normative aspects: Principles of the Eurocode 7
F6. Normative aspects: Principles of the Eurocode 7 Numerical modeling always had a particular r...
F7. Modeling in Dynamics
F7. Modeling in Dynamics Because of the continuous and unconfined nature of geomaterials, the...
F8. Characteristic scales
F8. Characteristic scales Firstly, to frame the discussion about soil dynamics problems, it is n...
PART 2 – USEFUL ELEMENTS
Chapter A. Understanding the finite elements
Chapter A. Understanding the finite elements A.1. What does a finite element software do? Exampl...
A1. What does the software do in a finite element calculation? The example of beam structures
A1. What does the software do in a finite element calculation? The example of beam structures Th...
A2. What is a finite element?
A2. What is a finite element? The resolution of the efforts in the elements is carried out follo...
Chapter B. Computational objectives and necessary characteristics of the tool
Chapter B. Computational objectives and necessary characteristics of the tool Creating a finite...
B. Calculation objectives and necessary tool characteristics
B. Calculation objectives and necessary tool characteristics Creating a finite element computat...
B.7 Organization of the calculation
B.7 Organization of the calculation This is an essential step to be carried out at the beginnin...
Chapter C. Good practices to create a model
Chapter C. Good practices to create a model The different levels of analysis and the complexity ...
C1. Input data and units
C1. Input data and units The input data must be consistent, whether these values are defined in ...
C2. Modeling of the main elements
C2. Modeling of the main elements C.2.1 Creating the geometry The first stage of modeling consi...
C3. FE and meshing
C3. FE and meshing C.3.1 Types of finite elements First and foremost, the user of FE software m...
C4. Modeling the non-structural elements or equipment
C4. Modeling the non-structural elements or equipment Non-structural elements and equipment are ...
C5. Boundary Conditions
C5. Boundary Conditions C.5.1 General case The boundary conditions are determined by the degree...
C6. Connections - links – assembly
C6. Connections - links – assembly C.6.1 Releasing the bars/springs/degrees of freedom In all m...
C7. Offsets
C7. Offsets Most finite element software offer several options to define a beam on a fiber othe...
C8. Composite Sections (Beams/Slabs)
C8. Composite Sections (Beams/Slabs) Composite sections are made up of the assembly, rigid or e...
C9. Materials
C9. Materials Part 1 Chapter 4 is dedicated to civil engineering materials and their specificiti...
C10. Specific behavior in shear and torsion
C10. Specific behavior in shear and torsion In general, it should be noted that beam element mod...
C11. Modeling the loading
C11. Modeling the loading As explained in chapter E, it is important to always verify for each l...
C12. More about solid elements
C12. More about solid elements The principles stated for 2D modeling remain applicable in 3D, in...
C13. More about non-linear calculations
C13. More about non-linear calculations This paragraph deals with non-linearities related to the...
C14. More about prestressed concrete
C14. More about prestressed concrete The proper modeling of prestressing requires using specific...
C15. More about phased calculations
C15. More about phased calculations The reader may also refer to Part 1 - D.3 Construction Phase...
C16. More about dynamic and seismic calculations
C16. More about dynamic and seismic calculations The dynamic solicitations generate inertial and...
Chapter D. Analysis and processing of the results
Chapter D. Analysis and processing of the results D.1 General information about numerical calcu...
D1. General information on numerical calculations
D1. General information on numerical calculations D.1.1 Calculation time Computation time (in t...
D2. Load combinations
D2. Load combinations D.2.1 Combinations and envelopes Recall that using a load combination co...
D3. Data processing
D3. Data processing D.3.1 Stresses/Deformations or Internal forces It is important to define wh...
D4. Normative verifications: the behavior of reinforced concrete elements
D4. Normative verifications: the behavior of reinforced concrete elements D.4.1 Reinforcement ma...
D5. Understanding and analyzing the peaks (case study about concrete)
D5. Understanding and analyzing the peaks (case study about concrete) The smoothing referred to ...
D6. Understanding and analyzing the peaks (case study about steel assembly)
D6. Understanding and analyzing the peaks (case study about steel assembly) The results of a cal...
D7. Further information specific to dynamic calculations
D7. Further information specific to dynamic calculations D.7.1 Total mass verification In the c...
Chapter E. How to ensure quality?
Chapter E. How to ensure quality? Below are some simple advice to assess the quality of the fini...
E1. Starting with a new software
We propose below some simple advice to deploy a quality approach in finite element calculations. ...
E2. Model validation using self-checking
E2. Model validation using self-checking Before exploiting the model results, several verificati...
E3. Traceability and group work
E3. Traceability and group work While there are projects where a single engineer will do all the...
Chapter F. How to properly present the finite element calculation note?
Chapter F. How to properly present the finite element calculation note? This paragraph introduce...
F. How to properly present the finite element calculation note?
F. How to properly present the finite element calculation note? This paragraph provides the mini...
PART 3 – EXAMPLES AND COMPLETE CASE STUDIES
EXAMPLES AND COMPLETE CASE STUDIES
This part contains modeling examples for simple and more complex objects. They are presented as a...
Example A - Modeling a complex high-rise building
Example A - Modeling a complex high-rise building Franck DUBOIS - Structures Engineering ...
Example B - Mixed and Steel Girders
Example B. Mixed and Steel Girders The subgroup responsible for these examples is still workin...
Example C - Beam Grillage Modeling
Example C - Beam Grillage Modeling Benjamin Tritschler (Arcadis) - Transverse Bending of a M...
Example D - Simple example: modeling of a Br wheel
Example D - Simple example: modeling of a Br wheel The purpose of this example is to show the di...
Example E - Transverse bending of a prestressed concrete box girder
Example E - Transverse bending of a prestressed concrete box girder Author : Jean-Paul Deveaud...
Example F – Dynamic calculations of tanks
Example F – Dynamic calculations of tanks Coming soon... a little patience required. Author: Gi...
Example G – Cable-stayed bridges
Example G – Cable-stayed bridges Coming soon... a little patience required.
Beam Grid Example
Beam Grid Example 1. Beam grid The beam grid is a generally horizontal structure consisting of ...
Contribution to the beam grillage analysis
Contribution to the beam grillage analysis Author: Pierre PERRIN – Assistant director of the bri...
Transverse bending of a multi-beam bridge
Transverse bending of a multi-beam bridge Author: B. Tritschler (Arcadis) – April 29th, 2020 1....
Example of a beam grillage calculation according to different methods - Part 1
Example of a beam grillage calculation according to different methods Comparison of the results...
Example of a beam grillage calculation according to different methods - Part 2
Example of a beam grillage calculation according to different methods Comparison of the results...
Example of a beam grillage calculation according to different methods - Part 3
Example of a beam grillage calculation according to different methods Comparison of the results...
Practical application of smoothing
Practical application of smoothing Example of the Br wheel in Handbook 61, title II Finite Elem...