MODELLI COSTITUTIVI DEI MATERIALI DA COSTRUZIONE TRADIZIONALI E INNOVATIVI

Objective of the course is to develop the basic knowledges on the mechanical behaviour of structural materials, facing the most important anelastic models able to represent the phenomena occurring in the constructions, especially when subjected to strong excitations like earthquakes.

The course includes 60 hrs of teaching, 21 hrs of theoric classes and 39 hrs of practice.

In the theroic classes the contents of the course will be explained

The practice hrs concern the experimental determination of the material properties and the solution of non-linear problems.

During the practice, the student will heve to solve simple problems under the supervision ofthe teachers.

Attending the lessons is highly recommended

ORARIO DELLE LEZIONI: http://www.dicar.unict.it/corsi/lm-23-geo/orario-lezioni

CONTENTS

1.       The standard material model

-       Strain internal energy

-       Dissipation

2.       Non-linear material behaviour

-       Classic and innovative Metallic materials

-       Mortar, concrete and innovative granular materials

-       Applications

3. Uniaxial plasticity

-       Truss and beams

-       Plastic hinges: concentrated ad diffused

-       Interaction diagrams

-       Incremental analysis for the elasto-plastic problem (MATLAB)

4. Time-independene non-linear material models

-       Elasto-plastic continuum (Drucker postulate of mximal dissipation, Flow rules, General presentation of elastic domains crieteria for isotropic materials)

-       Linear fracture (brittle, Griffith, Irvin)

-       Non-linear fracture (cohesive fracture models)

-       Damage (Kachanov)     

5. Limit analysis

-       The rigid-plastic model and te condition of collapse

-       Fundamental theorems of limit analysis and uniqueness of the collapse solution

-       Static and kinematic approaches for the determination of the collapse multiplier

-       Framed systems

-       Limit analysis with limited ductility

-       Effect of axial and shear force

6.       Advanced materials (elements)

-       Time-dependent materials. Viscoelasticity (polymers, FRP)

-       Rubber and structural sylicone (seismic isolators)

-       Shape memory alloys

TEXT

Leone Corradi Dell'Acqua - Meccanica delle strutture 2

ADDITIONAL DIDACTIC MATERIAL

Notes on specific subjects will be handled to students.

The didactic material is available on the site http://studium.unict.it for the current year

Additional material on advanced topics will be suggested to the students, useful for their career. These topics will not be asked in the final examination. 

EVALUATION OF THE STUDENTS

The final exam consists in a colloquium. During the course the students will be required to  develop mid-term tests, consisting in the solution of simple problems requiring the application of the material models taught in the course. The solution will be obtained either in closed form or numerically, by means of numerical codes developed in MATLAB or Mathematica.

It is required to sign uo for the final examination in the student website of the University

1.Incremental analysis of truss structures

2. Interaction diagrams for beams

3. Moment-curvature diagrams

4. Limit analysis of framed structures

5. Limit analysis of continuum structuress (search for the optimal position of plastic hinges)

6. Evaluation of plastic strain rates in 2D systems