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Aims and scope
This course aims at providing students with the basic knowledge of mechanics of materials allowing for the micro-structural architectures and the constituents' properties. So the main objectives of the course will be the mechanics of composite materials. A second part of the course will be focused on the mechanics of thin films, and mechanical characterization testing at small length scale.
The lectures will focus mainly on the mathematical modeling of the mechanical behavior of the materials as well as to the mechanical experimental characterization techniques. To this purpose a brief summary on solid mechanics will be provided at the beginning of the course.
Applications to specific material systems will be treated in the practical lectures.
Two short visits at the Laboratory of Biological Structure Mechanics of Politecnico di Milano are planned with illustration of practical cases of the nanoindentation technique and of the micro-tensile testing.
Contents of the lectures and practical part
Basic equation of continuum mechanics (a brief summary)
Mechanics of composite materials, homogenization of elastic properties:
Concept of inclusions and inhomogeneities
Concept of eigenstrain
Definition of effective elastic properties
Bounds on effective moduli
Brief introduction to non linear homogenization approaches.
Mechanics of thin films
Motivation for thin films mechanics
Mechanical issues in thin films
Residual stresses in 1D and 2D problems
Curvature induced by residual stresses
Stress state at the interfaces
Experimental techniques for the Study of Mechanical Properties of Thin Films;
Practical lectures:
Applications to specific material systems: ceramic/ceramic composites; metal/ceramic composites; biological tissues (with specific reference to the bone tissue);
Nanoindentation experimental technique; Micro-tensile testing (an in-situ testing).
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Inglese