Introduction to continuum mechanics
Also listed as: מבוא למכניקת הרצף
The formal foundation under nonlinear solid mechanics: deformation measures, stress measures, and constitutive theory that has to obey thermodynamics. Effectively required for a solid-mechanics thesis.
- Semester
- Not fixed
- Weekly hours
- 4h
- Counts as
- Department electives
- Interest areas
- Structures and computational mechanics · Miniaturised systems and materials
Comes after
- Elasticity (recommended)
Opens up
- 0542-4226Industrial applications of finite elements
- 0542-4528Introduction to biomechanics
- Advanced finite elements
- Graduate solid mechanics
What it covers
Topics
- Tensor algebra and calculus
- Kinematics of deformation: deformation gradient, Green and Almansi strain, polar decomposition
- Stress measures: Cauchy and the Piola–Kirchhoff pair
- Conservation of mass, momentum and energy
- Constitutive theory: objectivity and isotropy
- Elastic and hyperelastic materials, viscous fluids, viscoelasticity
- Thermodynamic restrictions and the Clausius–Duhem inequality
Results worth carrying out
Deformation gradient
Green–Lagrange strain
Balance of linear momentum
Clausius–Duhem inequality
Quick answers
When is Introduction to continuum mechanics taught?
Introduction to continuum mechanics (0542-4225) is taught in a semester that is not fixed in advance, 4 weekly hours. It counts toward “Department electives” in the Tel Aviv University Mechanical Engineering elective requirements.
What do I need before 0542-4225?
Before Introduction to continuum mechanics you need: Elasticity (recommended).
What software is used in Introduction to continuum mechanics?
Introduction to continuum mechanics is normally taught with Mathematica, MATLAB.
Which interest areas include Introduction to continuum mechanics?
Introduction to continuum mechanics sits in these interest areas: Structures and computational mechanics, Miniaturised systems and materials.
Related courses
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Research project for honours students 1
פרויקט מחקר למצטיינים 1
The honours research project, and the most direct on-ramp to a thesis in the catalogue. You pick a supervisor, produce results, and frequently continue the same problem into a masters.
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פרויקט מחקר למצטיינים 2
The continuation of the honours project, where the results get deep enough to defend. Under the direct track this is already the first part of the masters thesis.
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תורת התנודות
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We also write the summaries.
This map tells you what a course contains. The summaries, the tutoring and the people who already took it are the part you get by joining.
The topic outlines are not official syllabi. The university publishes a catalogue blurb per course, not lecture-by-lecture material, so each outline describes what a course of that name, at those hours, with those prerequisites teaches at engineering schools generally, cross-checked against the standard textbook for the subject. Treat it as an informed map, not as a transcript of the lectures.