4 ECTS credits
110 h study time

Offer 1 with catalog number 1009375BNR for all students in the 1st semester at a (B) Bachelor - advanced level.

Semester
1st semester
Enrollment based on exam contract
Impossible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Enrollment Requirements
Inschrijving voor Mechanica van het continuüm is mogelijk op voorwaarde dat men geslaagd is voor Analyse: afleiden, integreren, wiskundige software en ingeschreven of geslaagd is voor Mechanica van materialen, vloeistoffen en constructies en voor ten minste 2 van de 4 technologieprojecten, waarvan ten minste het technologieproject Bouwkunde (voor studenten in de afstudeerrichting bouwkunde) respectievelijk het technologieproject Werktuigkunde en Elektrotechniek (voor studenten in de afstudeerrichting werktuigkunde-elektrotechniek).
Taught in
Dutch
Faculty
Faculty of Engineering
Department
Mechanics of Materials and Constructions
Educational team
Danny Van Hemelrijck (course titular)
Activities and contact hours
24 contact hours Lecture
24 contact hours Seminar, Exercises or Practicals
Course Content
1. Introduction

The continuum concept

Basic hypotheses oa. density



2. Essential mathematics

vectors, tensors, gradients, integral transformations



3. Kinematics

Material particles, configuration of a continuum, deformation and motion

Material and spatial coordinates, Lagrangian & Euler description

Material derivative

Deformation gradients, finite strain tensors

Infinitesimal strain tensors

Rotation tensor

Velocity gradient and rate of deformation, vorticity

Material derivative of line elements, areas,volumes



4. Stress

Body and surface forces

Cauchy's stress vector and stress tensor

Equilibrium conditions, symmetry of stress tensor

Stress transformation laws

Principal stresses, principal stress directions, invariants of the stress tensor

Max and min of the stress values

Mohr's circles for stress

Spherical and deviatoric stress

Piola-Kirchhoff stress tensors



5. Fundamental laws

Conservation of mass, linear momentum, moment of momentum, energy,

entropy and Clausis-Duhem equation



6. Constitutive equations

Classical fluids,

linear elastic -, linear viscoelastic - and plastic material behaviour



7. Classical fluids

Viscous stress tensor, Stokesian & Newtonian fluids

Basic equation of viscous flow, Navier-Stokes

The bernoulli equation



8. Linear elasticity

Elastic symmetry, Hooke's law for isotropic and anisotropic materials

Determination of the elastic constants

Static vs dynamic, superposition principal

Plane stress and plane strain

Linear thermoelasticity
Course material
Digital course material (Required) : collegenota's pointcarré, Pointcarré
Handbook (Recommended) : Introduction to the Mechanics of a Continuous Medium, L.E. Malvern, Prentice Hall, 9780134876030, 1977
Handbook (Recommended) : Continuum Mechanics for Engineers, G.E. Mase, 4de, CRC Press, 9781482238686, 2020
Handbook (Recommended) : Mechanics of Continuous Media, S.C. Hunter, BIB, 9780135728505, 1983
Handbook (Recommended) : Introduction to Mechanics of Continua, Prager, Ginn & co, 9780486438092, 2004
Additional info
/ Course notes are available in word and pdf format



Complementary study material:

- L.E. Malvern, Introduction to the Mechanics of a Continuous Medium, Prentice Hall

- G.E. Mase, Continuum Mechanics for Engineers, CRC Press

- S.C. Hunter, Mechanics of Continuous Media

- Prager, Introduction to Mechanics of Continua, Ginn & co
Learning Outcomes

General competencies

This course treats the fundamental aspects of Continuum Mechanics and in this way contributes to the specific knowledge of this matter. During the examination the student will proof he fully understood the content of the course and that he is able to apply this knowledge to solve specific problems. Mathematical concepts necessary to understand fully the course will be repeated and/or complemented. Afterwards, there is a detailed discussion about displacement, deformation, strain and stress (Lagrangian and Euler). This is, together with the fundamental laws of conservation and the constitutive equations, the basis for the, Strength of Materials, Materials engineering, Stability of Constructions, Fluid mechanics, Hydro- and Aerodynamica, Composite Systems, Non elastic material behavior, experimental stress analysis and non destructive testing.

End terms
After studying this course the student will have a fundamental knowledge of the concepts of Continuum Mechanics (displacement, deformation, strain- and stress tensor) and will understand the importance of the fundamental laws of conservation and the constitutive equations.

General competences

The Bachelor in Engineering Sciences has a broad fundamental knowledge and understanding of scientific principles and methodology of exact sciences with the specificity of their application to engineering.

The Bachelor in Engineering Sciences has a broad fundamental knowledge and understanding of fundamental, basic methods and theories to schematize and model problems or processes.

The Bachelor in Engineering Sciences can apply quantitative methods and computer software relevant to the engineering discipline in order to solve engineering problems.

The Bachelor in Engineering Sciences can reason in a logical, abstract and critical way.

The Bachelor in Engineering Sciences has more advanced fundamental knowledge and understanding of the behaviour of structures, construction materials, soil and fluids (Civil Engineering) and can apply this knowledge to solve basic engineering problems.

Grading

The final grade is composed based on the following categories:
Oral Exam determines 50% of the final mark.
Written Exam determines 50% of the final mark.

Within the Oral Exam category, the following assignments need to be completed:

  • Oral exam with a relative weight of 1 which comprises 50% of the final mark.

    Note: Tijdens het mondeling examen krijgt de student twee vragen die hij/zij rustig (zonder cursus) schriftelijk kan voorbereiden. Na de voorbereidingstijd wordt een gesprek gevoerd waarin de student kan aantonen dat hij/zij de leerstof grondig begrijpt en in staat is argumentatie op te stellen en te verdiepen.

Within the Written Exam category, the following assignments need to be completed:

  • Written exam with a relative weight of 1 which comprises 50% of the final mark.

    Note: Tijdens het schriftelijk examen mag de cursus gebruikt worden.

Additional info regarding evaluation
- written examination concerning the exercises, problems and applications (1/2)

- oral examamination (1/2)
Allowed unsatisfactory mark
The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.

Academic context

This offer is part of the following study plans:
Bachelor of Engineering: Mechanical and Electrotechnical Engineering (only offered in Dutch)
Bachelor of Engineering: Civil Engineering (only offered in Dutch)
Bachelor of Engineering: verkort traject bouwkunde na vooropleiding industriële wetenschappen (only offered in Dutch)
Bachelor of Engineering: verkort traject werktuigkunde-elektrotechniek na vooropleiding industriële wetenschappen (only offered in Dutch)
Bachelor of Engineering: verkort traject werktuigkunde-elektrotechniek na vooropleiding fysica (only offered in Dutch)
Master of Teaching in Science and Technology: ingenieurswetenschappen (120 ECTS, Etterbeek) (only offered in Dutch)
Preparatory Programme Master of Science in Electromechanical Engineering: Standaard traject (only offered in Dutch)