PART 1 – THEORETICAL ELEMENTS

Chapter A. Introduction When performing a FE calculation of a structure, the modeling assumption...

A1. A general formulation for linear elastic calculations The two main formulations for linear c...

A2. The dimensionality of the model It is very important to simplify the full-size problem to mo...

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 Taking into account the interactions b...

A5. Estimation of the quality of the approximated numerical solution The difference between the ...

Chapter B. Dynamics For many applications such as seismic calculations, collisions, vibrations… ...

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  Schemes of integration Main Principles: T...

B3. Considering damping The damping of a structure’s vibration is related to dissipation phenome...

B4. Specificities of the seismic analysis Spectral response – Specific case of earthquakes The ...

Chapter C. Nonlinear Static calculations Nonlinear calculations are generally time-demanding: a ...

C1. Mechanical non-linear problems Description of possible non-linearities The non-line...

C2. Why performing non-linear calculations As in many areas of physics, it is only reasonable to...

C3. Implementation The correct method consists of always proceeding step by step so that non-lin...

C4. Convergence issues? Symptoms and solutions As opposed to linear elastic calculations, non-li...

Chapter D. Civil Engineering D.1 Civil engineering materials D.1 Civil engineering materials D...

D1. Civil engineering materials The objective of this chapter is to highlight the peculiarities ...

D2. Different categories of structural elements  Here are presented the peculiarities of these e...

D3. The different construction phases  Studying the phases of construction has two objectives: ...

Chapter E. Typical post-treatment in Civil Engineering Introduction In civil engineering there ...

E1. Generalities The different post-treated quantities may change significantly according to the...

E2. Quantities in Dynamics Time-dependent analyses Post-processing of time-dependent qu...

E3. The specific case of reinforced concrete Overview of the common methods for designing th...

Chapter F – Geotechnical calculations  Introduction Conventional methods for the design and dim...

F1. Geometric aspects  One of the advantages of the FE method is the possibility of describing t...

F2. Material non-linearities  In geotechnics, it is very rare to be able to study a structure ex...

F3. Soil-structure interactions Geotechnical structures often combine layers of soil with metal ...

F4. Hydraulic effects Hydromechanical coupling Another peculiarity of geotechnical calc...

F5. Uncertainties and recommendations  Uncertainties There are many sources of uncertai...

F6. Normative aspects: Principles of the Eurocode 7 Numerical modeling always had a particular r...

F7. Modeling in Dynamics   Because of the continuous and unconfined nature of geomaterials, the...

F8. Characteristic scales Firstly, to frame the discussion about soil dynamics problems, it is n...