Numerical Modelling of Geodynamic Processes

A.Y. 2016/2017
6
Max ECTS
64
Overall hours
SSD
GEO/10
Language
Italian
Learning objectives
Fornire allo studente una introduzione ai fondamenti del Metodo agli Elementi Finiti, che consente di risolvere problemi complessi nel campo della geodinamica.
Expected learning outcomes
Undefined
Course syllabus and organization

Single session

Responsible
Lesson period
First semester
Course syllabus
NUMERICAL MODELLING OF GEODYNAMIC PROCESSES The standard discrete system and origins of the finite element method. Element, node, nodal connection, Stiffness matrix, generalized load. Local and global reference system. Stiffness matrix and load vector for each grid element. Assembly of stiffness matrix and load vector. Displacement approach. Shape function. Shape function for a linear triangular element. Numerical approximation of deformation. Numerical approximation of stress. Linear elasticity. Stiffness matrix for the elastic flexural problem under plane stress conditions. Comparison between the exact solution and the numerical solutions at nodes or internal points for the elastic flexural problem, for different distributed load (constant and linearly varying with distance). Numerical integration: Gauss quadrature. Transformation from local to global coordinates. Jacob matrix. Generalization of the finite element concepts. Integral or "weak" statement equivalent to the differential equations. Galerkin weighted residual approach. Application of Galerkin approach to the 2D heat conduction equation.
GEO/10 - SOLID EARTH GEOPHYSICS - University credits: 6
Practicals: 48 hours
Lessons: 16 hours
Professor: Marotta Anna Maria
Professor(s)
Reception:
every day, by appointment via e-mail
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