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. 2017/18

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course Second cycle degree in
MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA (Ord. 2015)
IN2191, Degree course structure A.Y. 2015/16, A.Y. 2017/18
N0
bring this page
with you
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
E-Learning website https://elearning.unipd.it/dicea/course/view.php?idnumber=2017-IN2191-001PD-2016-INP5070425-N0
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 VALENTINA SALOMONI ICAR/08

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses ICAR/08 Construction Science 9.0

Mode of delivery (when and how)
Period First semester
Year 2nd Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 9.0 72 153.0 No turn

Calendar
Start of activities 02/10/2017
End of activities 19/01/2018

Syllabus
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 bars and trusses to beams and arches characterized by non-linear kinematics and material behaviour.
Examination methods: Practical application
Assessment criteria: The evaluation is based on:
- exercises (some exercises can be developed by the candidate)
- oral discussion on theoretical subjects
Course unit contents: Non-linear bars and trusses: deformation - equilibrium - tangent stiffness matrix - use of shape functions - assembling - total or lagrangian formulation.
(Finite rotations)
Euler-Bernoulli beam. Timoshenko beam.
Plates and shells.
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.
Elasto-plastic solids: elastic solids - general theory of plasticity - models for granular materials (finite elasto-plasticity).
Techniques of numerical solutions: iterative solution of equilibrium equations - orthogonal residual method - arc-length methods
Planned learning activities and teaching methods: Frontal lectures
Textbooks (and optional supplementary readings)
  • Marsden, J., Hughes, T.J.R., Mathematical Foundations of Elasticity. --: Prentice Hall, 1983. Cerca nel catalogo
  • Krenk, S., Non-linear Modeling and Analysis of Solids and Structures. --: Cambridge University Press, 2009. Cerca nel catalogo
  • Zienkiewicz, O.C., Taylor, R., The Finite Element Method - Voll. 1 & 2. --: McGraw-Hill, 1994. Cerca nel catalogo
  • Simo, J.C, Hughes, T.J.R., Computational Inelasticity. --: Springer, 1998. Cerca nel catalogo
  • Onate, E., Structural Analysis with the Finite Element Method: Linear Statics - Vol. 2. --: Springer, 2013. Cerca nel catalogo