| First cycle degree courses | Second cycle degree courses | Single cycle degree courses |
| School of Engineering | ||
| MATHEMATICAL ENGINEERING | ||
Course unit
ADVANCED SOLID MECHANICS
INP5070425, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2018/19
ADVANCED SOLID MECHANICS
INP5070425, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2018/19
Information on the course unit
| Degree course |
Second cycle degree in MATHEMATICAL ENGINEERING IN2191, Degree course structure A.Y. 2017/18, A.Y. 2019/20 |
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|---|---|---|
| Degree course track | MATHEMATICAL MODELLING FOR ENGINEERING AND SCIENCE [001PD] | |
| Number of ECTS credits allocated | 9.0 | |
| Type of assessment | Mark | |
| Course unit English denomination | ADVANCED SOLID MECHANICS | |
| Department of reference | Department of Civil, Environmental and Architectural Engineering | |
| Mandatory attendance | No | |
| Language of instruction | English | |
| Branch | PADOVA | |
| Single Course unit | The Course unit can be attended under the option Single Course unit attendance | |
| Optional Course unit | The Course unit can be chosen as Optional Course unit |
Lecturers
| Teacher in charge | GIANLUCA MAZZUCCO | ICAR/08 |
|---|
Mutuated
| Course unit code | Course unit name | Teacher in charge | Degree course code |
|---|---|---|---|
| INP5070425 | ADVANCED SOLID MECHANICS | GIANLUCA MAZZUCCO | IN0517 |
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 |
| Start of activities | 30/09/2019 |
|---|---|
| End of activities | 18/01/2020 |
| Show course schedule | 2019/20 Reg.2017 course timetable |
| Prerequisites: | Continuum Mechanics |
| Target skills and knowledge: | 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: | Practical application. Each student will develop autonomously a mechanical detail using the numerical tecniques learnt during the course. |
| Assessment criteria: | 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: | 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: | Frontal lectures |
| Textbooks (and optional supplementary readings) |
|
- Laboratory
- Working in group
- Loading of files and pages (web pages, Moodle, ...)
- Moodle (files, quizzes, workshops, ...)
- One Note (digital ink)
- Matlab
- ABAQUS, STRAUS7, AUTODESK INVENTOR