Finite element modelling for advanced processing

Uitgebreide vaknaam	Finite element modelling for advanced processing
Leerdoelen	At the end of the course, the student is able to: 1) Derive the governing equations of Nonlinear Solid Mechanics 2) Derive the Finite Element method for Nonlinear Solid Mechanics problems 3) Develop a Nonlinear Finite Element code 4) Solve Nonlinear Finite Element problems
Omschrijving	In this course the student will learn Nonlinear Solid Mechanics and the Finite Element Method for Nonlinear Solid Mechanics problems. The main topics treated in this course are: Nonlinear Solid Mechanics: • Material and geometric nonlinearities; • Kinematics at large (finite) deformations; • Stress measures in finite deformations; • Strong and weak form of equilibrium/principle of virtual work; • Constitutive restrictions (Clausius-Duhem inequality); • Typical nonlinear constitutive laws (with focus on elasticity and plasticity). Finite Element Method techniques for Nonlinear Solid Mechanics: • Spatial discretization; • Interpolation and integration in space and time; • Total Lagrande vs Updated Lagrange formulations; • Solution methods for nonlinear problems: determination of stiffness tangent, nonlinear iteration schemes, convergence. Exercise sessions will focus on strengthening the understanding of the above topics, such that the student can be able to reproduce results and solve independently new exercises. Also, some examples of the computer implementation of nonlinear solid mechanics problem with FEM will be discussed.
Uren per week	variabel
Onderwijsvorm	Hoorcollege (LC), Opdracht (ASM), Practisch werk (PRC) (LC 16h, ASM 16h, PRC 16h, self study 92h)
Toetsvorm	Mondeling tentamen (OR), Opdracht (AST), Schriftelijk tentamen (WE), Tussentoets (IT) (OR 40%, AST 10%, WE 40%, IT 10%)
Vaksoort	master
Coördinator	F. Maresca, PhD.
Docent(en)	F. Maresca, PhD.
Verplichte literatuur	Titel Auteur ISBN Prijs Assignments (homework) Lecture slides Lecture notes
Entreevoorwaarden	The course assumes that the student has the knowledge, comprehension and is able to apply the main concepts of linear algebra and calculus from the Bachelor programs. This will be tested one week before the course starts (see Nestor). Also, the course assumes that the student has the knowledge and comprehension of the main concepts related to small strain continuum (solid) mechanics and the linear finite elements method. Thus, the student should have attended the course Computational Mechanics I (WMME003-05). Attendance of the course Computational Mechanics II (WMME008-05) is also welcome.
Opmerkingen	This course was previously registered with course code WMME19010
Opgenomen in	Opleiding Jaar Periode Type MSc Applied Mathematics: Computational Mathematics  ( MSc Applied Mathematics: Computational Mathematics ) - semester II b keuzegroep MSc Courses for Exchange Students: Engineering: Biomedical-Industrial-Mechanical - semester II b verplicht MSc Mechanical Engineering: Materials for Mechanical Engineering  (Electives ) 1 semester II b keuzegroep MSc Mechanical Engineering: Process Design for Energy Systems  (Electives ) 1 semester II b keuze MSc Mechanical Engineering: Smart Factories  (Electives ) 1 semester II b keuzegroep