MECHANICS OF MATERIALS
Academic year and teacher
If you can't find the course description that you're looking for in the above list,
please see the following instructions >>
- Versione italiana
- Academic year
- 2015/2016
- Teacher
- RAFFAELLA RIZZONI
- Credits
- 6
- Curriculum
- INDUSTRIALE
- Didactic period
- Primo Semestre
- SSD
- ICAR/08
Training objectives
- The course provides Mechanical Engineering students with the basic concepts of the mechanics of deformable materials.
The fundamentals of strain analysis (finite and infinitesimal deformations) are presented and the theory of linear elasticity is discussed with several examples based on known exact solutions. The course includes a description of the constitutive model for anisotropic elastic materials, with special reference to the monoclinic, orthotropic, transversely isotropic and isotropic symmetries; the stiffness method for hyperstatic structures; the Kirchhoff-Love theory of plates; some modelling of special material behavior like the shape memory behavior and pseudoelasticity.
The course will contribute to the following learning outcomes: analysis of stress and strain state in beam-like and plate-like structures; modeling of anisotropic materials; use of software for the representation of deformed configurations and the analysis of elastic properties in anisotropic materials. Prerequisites
- The basic concepts covered by the course of Statics (second year of Mechanical Engineering) are required. The topics offered by the courses of Costruzione di Macchine and Scienza e Tecnologia dei Materiali are advised.
Course programme
- Strain analysis. Finite deformations. Polar decomposition. Homogeneous deformations with examples.Infinitesimal deformations. Compatibility conditions.
Constitutive equations. Simple materials. Material objectivity. Reduced form of the constitutive equation. Elastic materials. Linear elasticity: elastic tensor and its symmetries.Hyperelastic materials. Material symmetries. Monoclinic, orthotropic, transversely isotropic and isotropic material. Lamè equation.
Principle of virtual works. Weak form of the equilibrium problem. Properties of the solution.
Shape memory alloys. Phenomenological aspects. A one-dimensional model. Analysis of free and constrained recovery.
The Kirchhoff-Love theory for thin plates; circular plates; equilibrium equations; discussion of the boundary conditions. Didactic methods
- The course will include both classroom lectures, classroom exercises sessions and computer-lab sessions that will permit interactive computer exercises and group discussion on the representation of deformed configurations and elastic properties in anisotropic linear elastic materials.
Learning assessment procedures
- Oral exam consisting of a discussion aimed to determine: the skill level in solving hyperstatic structures via the stiffness method; the competence level in presenting a topic chosen by the student and the knowledge level of all theoretical and methodological contents of the course necessary to understand and present the chosen topic.
Reference texts
- Gambarotta L., Nunziante L., Tralli A.,
Scienza delle Costruzioni - McGraw-Hill - 2011
Leone Corradi Dell'Acqua
Meccanica delle strutture vol.1- McGraw-Hill Companies - 2010
I. Doghri
Mechanics of Deformable Solids: Linear, Nonlinear,
Analytical and Computational Aspects - Springer - 2000
