Continuum Mechanics
Kontinuumsmekanik

FMEN21F, 7.5 högskolepoäng

Gäller från och med: Autumn 2018
Beslutad av: Professor Per Kristiansson
Datum för fastställande: 2018-05-04

Allmänna uppgifter

Avdelning: Mechanics
Kurstyp: Gemensam kurs, avancerad nivå och forskarnivå
Kursen ges även på avancerad nivå med kurskod: FMEN21
Undervisningsspråk: English

Syfte

The purpose of this course is to presents the classical theory of the mechanics of deformable bodies, i.e. continuum mechanics for solid, fluid and gaseous material bodies. The general concepts and principles of continuum mechanics are presented in the formulation of the conservation and balance equations combined with constitutive relations for material bodies. The course also gives an introduction to the algebra and analysis of Cartesian tensors.

Mål

Kunskap och förståelse

För godkänd kurs skall doktoranden

• be able to explain and apply fundamental conception as the deformation gradient, displacement gradient, material and local time derivatives, rate of deformation and stress tensor
• describe the fundamental balance equations and conservation laws for a deformable body
• be able to explain the fundamental results in the general theory of constitutive relations
• describe and apply the general equations for some kind of fluid and elastic bodies and be familiar with some advanced constitutive relations

Färdighet och förmåga

För godkänd kurs skall doktoranden

• be able to describe the motion of a deformable body and solve simple dynamic problems of deformable bodies using the fundamental balance equations and conservation laws
• apply and analyze different kind of constitutive relations.
• be able to formulate and solve some simple cases of flow and elastic problems
• be able to present a solution of a continuum mechanical problem in a technical report

Värderingsförmåga och förhållningssätt

För godkänd kurs skall doktoranden

• be able to evaluate the physical consistence of the obtained results
• be able to evaluate constitutive relations by calibrating and validating to experimental data

Kursinnehåll

Deformation and the kinetics of the deformation of bodies, force and stresses in deformable bodies. General equations of conservation and balance for mass, momentum, linear momentum, force, energy and entropy.The relationship between global and local equations of balance. The theory of constitutive equations. Elastic solids and viscous fluids. Mixture theory. Examples of practical applications.

Kurslitteratur

Ahadi, A.: Lecture notes, Continuum mechanics. Division of Mechanics Lund University, 2017.

Kursens undervisningsformer

Undervisningsformer: Föreläsningar, övningar

Kursens examination

Examinationsformer: Skriftlig tentamen, inlämningsuppgifter
Betygsskala: Underkänd, godkänd
Examinator: Professor Aylin Ahadi

Antagningsuppgifter

Förutsatta förkunskaper: Basic courses in Engineering Mechanics, Linear Algebra and Calculus.

Kurstillfällesinformation

Startdatum: 2018-09-03
Slutdatum: 2018-11-30
Kursfart: Full time

Kontaktinformation och övrigt

Kursansvarig: Aylin Ahadi <aylin.ahadi@lth.lu.se>
Hemsida: http://www.mek.lth.se/education/fmen21/