
Course unit
ADVANCED SOLID MECHANICS
INP5070425, A.A. 2017/18
Information concerning the students who enrolled in A.Y. 2016/17
ECTS: details
Type 
ScientificDisciplinary 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 
Start of activities 
02/10/2017 
End of activities 
19/01/2018 
Prerequisites:

Continuum Mechanics 
Target skills and knowledge:

The course is based on the analysis and modelling of nonlinear 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 nonlinear 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:

Nonlinear bars and trusses: deformation  equilibrium  tangent stiffness matrix  use of shape functions  assembling  total or lagrangian formulation.
(Finite rotations)
EulerBernoulli beam. Timoshenko beam.
Plates and shells.
Deformation and equilibrium of solids: deformation  nonlinear deformation  strain decomposition  virtual work and stresses (PiolaKirchhoff, Cauchy, stress rates)  total and updated lagrangian formulation.
Elastoplastic solids: elastic solids  general theory of plasticity  models for granular materials (finite elastoplasticity).
Techniques of numerical solutions: iterative solution of equilibrium equations  orthogonal residual method  arclength 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.

Krenk, S., Nonlinear Modeling and Analysis of Solids and Structures. : Cambridge University Press, 2009.

Zienkiewicz, O.C., Taylor, R., The Finite Element Method  Voll. 1 & 2. : McGrawHill, 1994.

Simo, J.C, Hughes, T.J.R., Computational Inelasticity. : Springer, 1998.

Onate, E., Structural Analysis with the Finite Element Method: Linear Statics  Vol. 2. : Springer, 2013.


