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Course unit
ADVANCED SOLID MECHANICS
INP5070425, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2018/19
ECTS: details
Type |
Scientific-Disciplinary Sector |
Credits allocated |
Core courses |
ICAR/08 |
Construction Science |
9.0 |
Course unit organization
Period |
First semester |
Year |
2nd Year |
Teaching method |
frontal |
Type of hours |
Credits |
Teaching hours |
Hours of Individual study |
Shifts |
Lecture |
9.0 |
72 |
153.0 |
No turn |
Examination board
Board |
From |
To |
Members of the board |
3 2018 |
01/10/2018 |
30/11/2019 |
MAZZUCCO
GIANLUCA
(Presidente)
SALOMONI
VALENTINA
(Membro Effettivo)
MAIORANA
CARMELO
(Supplente)
POMARO
BEATRICE
(Supplente)
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Prerequisites:
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Continuum Mechanics |
Target skills and knowledge:
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The course is based on the analysis and modelling of non-linear solids and structures for material (and geometry). Emphasis is given to modelling aspects and on the development of the theory in a form adequate for the modelling itself. The idea is to present theory and correspondent numerical methods as a gradual development, from simple systems as trusses and beams to threedimensional bodies, characterized by non-linear kinematics and material behaviour. |
Examination methods:
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Practical application. Each student will develop autonomously a mechanical detail using the numerical tecniques learnt during the course. |
Assessment criteria:
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The evaluation is based on:
- exercises (some exercises can be developed by the candidate)
- practical test and oral discussion on theoretical subjects |
Course unit contents:
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General formulation of the finite element method and application to solid mechanics in statics field (weighted residual method, variational method, Bubnov-Galerkin method, principle of virtual work, discretization in space, isoparametric finite elements).
Finite element method for non-linear problems (linearization, Newton's method, quasi-Newton and modified Newton).
Linear and Non-linear trusses and beams: deformation - equilibrium - tangent stiffness matrix - use of shape functions - assembling - total or lagrangian formulation.
Euler-Bernoulli beam.
Elasto-plastic solids: elastic solids - general theory of plasticity - return mapping algorithm - models for granular materials (finite elasto-plasticity).
Deformation and equilibrium of solids: deformation - non-linear deformation - strain decomposition - virtual work and stresses (Piola-Kirchhoff, Cauchy, stress rates) - total and updated lagrangian formulation.
Computational Contact Mechanics: - General formulation - Penalty method - Lagrange multiplier method.
Techniques of three dimensional modeling. |
Planned learning activities and teaching methods:
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Frontal lectures |
Textbooks (and optional supplementary readings) |
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Marsden, J., Hughes, T.J.R., Mathematical Foundations of Elasticity. --: Prentice Hall, 1983.
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Krenk, S., Non-linear Modeling and Analysis of Solids and Structures. --: Cambridge University Press, 2009.
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Zienkiewicz, O.C., Taylor, R., The Finite Element Method - Voll. 1 & 2. --: McGraw-Hill, 1994.
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Simo, J.C, Hughes, T.J.R., Computational Inelasticity. --: Springer, 1998.
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Onate, E., Structural Analysis with the Finite Element Method: Linear Statics - Vol. 2. --: Springer, 2013.
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Innovative teaching methods: Teaching and learning strategies
- Laboratory
- Working in group
- Loading of files and pages (web pages, Moodle, ...)
Innovative teaching methods: Software or applications used
- Moodle (files, quizzes, workshops, ...)
- One Note (digital ink)
- Matlab
- ABAQUS, STRAUS7, AUTODESK INVENTOR
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