First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
CIVIL ENGINEERING
Course unit
NON LINEAR SOLID AND STRUCTURAL MECHANICS
INO2043807, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course Second cycle degree in
INGEGNERIA CIVILE (Ord. 2010)
IN0517, Degree course structure A.Y. 2010/11, A.Y. 2017/18
N0
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Degree course track Common track
Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination NON LINEAR SOLID AND STRUCTURAL MECHANICS
Department of reference Department of Civil, Environmental and Architectural Engineering
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge CARMELO MAIORANA ICAR/08

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses ICAR/08 Construction Science 9.0

Mode of delivery (when and how)
Period Second 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

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018

Syllabus
Prerequisites: Structural Dynamics
Target skills and knowledge: The course deals with the analysis and modeling of nonlinear solids and structures. The main emphasis is on the modeling aspect, i.e. the justification and properties of the theory, and the development of the theory in a form suitable for computational analysis. The idea is to present the theory and the corresponding numerical methods as a gradual development, from simple bar and truss systems via finite rotations, up to beams and shells with nonlinear kinematics and material behavior.
Examination methods: Practical applications
Assessment criteria: The evaluation will be based on:
- exercises (a collection of exercises must be presented by each candidate)
- oral discussion on the theoretical arguments
Course unit contents: Theory: Mathematical preliminaries: vector and tensor algebra, linearization and directional derivative, tensor analysis. Finite rotations: the vector and tensor representation of rotations in 3D space, quaternion representation. Formulation of a beam undergoing finite deformation: kinematic, balance laws and constitutive relationships. Formulation of shell undergoing finite displacements, rotations and deformations: kinematic and balance laws. Numerical methods for solving non-linear equations: Newton-Raphson, Orthogonal Residual and Arc-Length. Introduction to non linear dynamic analysis: Newmark algorithm and energy-conserving methods. Classes of problems and solutions: problems of solid and structures undergoing with finite displacements and rotations, problems involving beams in finite deformations, problems dealing with shells in finite deformations.

Exercises: Introduction to MatLab Scilab Ansys code; analyses using non-linear truss elements; analyses with non-linear beam elements; analyses with non-linear brick element; implementation of elasto-plastic constitutive laws; implementation of different solution techniques; non linear dynamic analyses.
Planned learning activities and teaching methods: The course is composed by theoretical lectures and exercises carried out in computer lab.
Additional notes about suggested reading: Simo, J.C. and co., Series of papers on nonlinear beams and shells (1990 – 1996).
Textbooks (and optional supplementary readings)
  • Marsden, Jerrold E.; Hughes, Thomas J. R., Mathematical foundations of elasticityJerrold E. Marsden, Thomas J. R. Hughes. New York: Dover, 1994. Cerca nel catalogo
  • Krenk, Steen, Non-linear modeling and analysis of solids and structuresSteen Krenk. Cambridge: Cambridge University press, 2009. Cerca nel catalogo
  • Zienkiewicz, Olgierd Cecil; Taylor, R.L; Taylor, Robert Leroy; Zhu, J. Z.; Zienkiewicz, Olek C, <<The>> Finite Element Method: Its Basis and Fundamentals, 7th ed. Elsevier: Inc., 2013. Cerca nel catalogo
  • Simo, Juan C.; Hughes, Thomas J. R., Computational inelasticityJ.C. Simo, T.J.R. Hughes. New York \etc.!: Springer, --. Cerca nel catalogo