Università di Pavia - Offerta formativa

CONTINUUM MECHANICS

Anno immatricolazione

2018/2019

Anno offerta

2018/2019

Normativa

DM270

SSD

ICAR/01 (IDRAULICA)

Dipartimento

DIPARTIMENTO DI INGEGNERIA CIVILE E ARCHITETTURA

Corso di studio

CIVIL ENGINEERING FOR MITIGATION OF RISK FROM NATURAL HAZARDS

Curriculum

Hydrogeological risk assessment and mitigation

Anno di corso

1°

Periodo didattico

Primo Semestre (24/09/2018 - 17/10/2018)

Crediti

6

Ore

51 ore di attività frontale

Lingua insegnamento

English

Tipo esame

SCRITTO E ORALE CONGIUNTI

Docente

MANENTI SAURO (titolare) - 6 CFU

Prerequisiti

Basics of vector, matrix and tensor algebra.

Mathematical foundations.

Integral theorems (Stokes and Gauss).

Mathematical foundations.

Integral theorems (Stokes and Gauss).

Obiettivi formativi

To provide the foundamental theoretical concepts and mathematical tools for the analysis of relevant problems in the hydraulic engineering field.

Programma e contenuti

Review of mathematical foundations: vector and tensor algebra; coordinate systems; Stokes theorem and Gauss theorem.

Analysis of stress: the continuum concept; Cauchy stress principle; stress tensor; principal stress; Mohr circles; deviator and spherical stress tensor.

Deformation and strain: Lagrangian and Eulerian descriprion; small deformation theory; strain tensor; principal strains; spherical and deviator strain tensor; plane strain; compatibility equations; velocity gradient tensor; rate of deformation tensor; vorticity tensor.

Foundamental laws of continuum mechanics: mass conservation - continuity equation; Reynolds transport theorem; linear momentum conservation; angular momentum conservation; energy conservation.

Constitutive equations: Newtonian fluid. Governing equations of fluid mechanics: Navier-Stokes equations.

Special cases: perfect fluid; Euler and Bernoulli equations. Laplace equation. Kelvin theorem.

Viscosity and applications to engineering problems: Viscosity of Newtonian fluids. Flow curve. Common non-Newtonian rheological models. Experimental measurement of fluid viscosity. Rheological characterization of sludge from Termophilic Aerated Membrane Reactor for wastewatertreatment. CFD modelling of passive energy dissipation system: the case of annular viscous fluid damper.

Numerical solution of the fundamental equations of fluid mechanics and engineering applications: basics of Smoothed Particle Hydrodynamics (SPH) method. Discretized governing equations. SPH modelling of landslide generated wave in artificial reservoir. Vawe impact against rigid body.

Analysis of stress: the continuum concept; Cauchy stress principle; stress tensor; principal stress; Mohr circles; deviator and spherical stress tensor.

Deformation and strain: Lagrangian and Eulerian descriprion; small deformation theory; strain tensor; principal strains; spherical and deviator strain tensor; plane strain; compatibility equations; velocity gradient tensor; rate of deformation tensor; vorticity tensor.

Foundamental laws of continuum mechanics: mass conservation - continuity equation; Reynolds transport theorem; linear momentum conservation; angular momentum conservation; energy conservation.

Constitutive equations: Newtonian fluid. Governing equations of fluid mechanics: Navier-Stokes equations.

Special cases: perfect fluid; Euler and Bernoulli equations. Laplace equation. Kelvin theorem.

Viscosity and applications to engineering problems: Viscosity of Newtonian fluids. Flow curve. Common non-Newtonian rheological models. Experimental measurement of fluid viscosity. Rheological characterization of sludge from Termophilic Aerated Membrane Reactor for wastewatertreatment. CFD modelling of passive energy dissipation system: the case of annular viscous fluid damper.

Numerical solution of the fundamental equations of fluid mechanics and engineering applications: basics of Smoothed Particle Hydrodynamics (SPH) method. Discretized governing equations. SPH modelling of landslide generated wave in artificial reservoir. Vawe impact against rigid body.

Metodi didattici

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Testi di riferimento

R. Aris "Vectors, tensors, and the basic equations of fluid mechanics" Dover pub.

W. Prager "Introduction to mechanics of continua" Ginn and Co. 1961

P.C. Chou & N.J. Pagano "Elasticity, tensor, dyadic, and engineering approaches"

Dover pub.

Wilkinson W.L., Non-Newtonian fluids. 1960 Pergamon Press.

Liu, G-R. and Liu, M.B. Smoothed Particle Hydrodynamics: a meshfree particle method. World Scientic, 2003.

W. Prager "Introduction to mechanics of continua" Ginn and Co. 1961

P.C. Chou & N.J. Pagano "Elasticity, tensor, dyadic, and engineering approaches"

Dover pub.

Wilkinson W.L., Non-Newtonian fluids. 1960 Pergamon Press.

Liu, G-R. and Liu, M.B. Smoothed Particle Hydrodynamics: a meshfree particle method. World Scientic, 2003.

Modalità verifica apprendimento

The final examination will consist of an essay on a course’s topic to be selected and discussed orally by the student.

Altre informazioni

Lecture notes can be downloaded from the course page on the platform KIRO (https://elearning2.unipv.it/ingegneria/)

Obiettivi Agenda 2030 per lo sviluppo sostenibile