Meccanica del Continuo
Continuum Mechanics Stefano Lenci
Basic knowledge of structural engineering, including: kinematics, statics, material behaviour, linear elastic problem, principle of virtual powers, beam theory, solution of statically undetermined structures, failure criteria.
KNOWLEDGE AND UNDERSTANDING:
The course enables students to acquire advanced knowledge of structural and theoretical mechanics, with the objective to develop and implement original ideas in the field of structural engineering, to solve new design problems and to further enrich the knowledge in the field of machine design and mechanical systems, with particular reference to the structural aspects involved. In-depth knowledge in linear elasticity will be provided, including variational principles and the equations of plates, will be developed the theory of nonlinear elasticity, losing the linearity of equations, and some aspects of mechanics of materials (in particular fracture and plasticity), thus developing the ability to modeling and structural design of mechanical systems of high complexity. Through the comparative analysis of various cases it is acquired an awareness of the wider multidisciplinary context of engineeringCAPACITY TO APPLY KNOWLEDGE AND UNDERSTANDING:
The knowledge gained will provide students with the appropriate understanding and skill in solving new and complex problems, in broad and interdisciplinary contexts. The student will acquire the full knowledge of every structural problem, however complicated, achieving the ability to select and apply relevant analytic and modeling methods, to formulate solutions appropriate for the mechanical engineering expertise, to approach fracture mechanics and plasticity problems, and to properly interpret the roots of the structural behaviours commonly faced in the engineering practiceTRANSVERSAL SKILLS:
The skills acquired during the course will then be applied and further developed in the application-oriented courses, thus promoting cross-disciplinary learning. The knowledge will also be useful for solving problems not typical of mechanical engineering, for example transverse to other branches of engineering
1. Stability of elastic equilibrium
2. Generalized problems of bending
3. Advanced (non linear) kinematics of continuum
4. Advanced statics of continuum
5. Finite elasticity
6. Linear elasticity
7. Plane strain and plane stress problems
8. Variational principles and approximated solutions
Development of the examination
LEARNING EVALUATION METHODS
The learing evaluation will be done by means of an interview (oral examination) which will involve all topics discussed during the lectures. There will be at least tre questions, one per each main parts of the course (topics 1-2, topics 3-5 and topics 6-9).
LEARNING EVALUATION CRITERIA
To get a positive evalution, the student must:
- show that he/she understood the topics developed in the lectures;
- be able to elaborate the previous concepts in order to solve advanced problems of structural engineering, including the understanding of complex mechanical behaviours.
LEARNING MEASUREMENT CRITERIA
The final evaluation, expressed by a number from 0 to 30 (positive evaluation from 18 to 30), will reflect:
- the level of general knowledge of the student;
- the capacity of the student to elaborate the general concepts, and his/her skills in applyin them to advanced structural problems typical of the mechanical engineering.
FINAL MARK ALLOCATION CRITERIA
The minimum sufficient score (18/30) is for students that show the understanding of the basic concepts illustrated during the lecturers. The mark will increase as much as the student will show a deep knowledge and his/her ability to elaborate these concepts.
The maximum score (30/30) is obtained with a deep knowledge of all the topics and with the ability to apply them to real cases or to exercises proposed by the examinator.
The summa cum laude is for students that show special cleverness during the interview.
Baldacci, Scienza delle Costruzioni, UTET
Ciarlet, Mathematical elasticity, vol I, North-Holland
Corradi dellAcqua, Meccanica delle Strutture, McGraw-Hill
Gurtin, An introduction to continuum mechanics, Academic Press
Love, A treatise on the mathematical theory of elasticity, Dover
Lenci, Lezioni di meccanica strutturale, Pitagora
- Ingegneria Meccanica (Corso di Laurea Magistrale (DM 270/04))