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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...