Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
FINITE ELEMENT METHOD-I CMM 508 0 3 + 0 3 6
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Prof.Dr. ALİ OSMAN AYHAN Dersi Verenler Dersin Yardımcıları Dersin Kategorisi Dersin Amacı Currently, the finite element method is widely used in design and analyses of many high-tech products and still continues its development in the academic studies as well. In the context of this course, basic principles of the finite element method will be taught with applications on linear elastic solid mechanics problems in one, two and three-dimensions. This course will also provide a foundation for a more advanced course Finite Element ? II, which mostly focuses on nonlinear problems. Dersin İçeriği Introduction, historical developments on Finite Element Methods. Basics of Finite Element Method for Solid Mechanics problems: Strain-displacement relations, Theory of stress and deformation, Stress-strain-temperature relations, Potential energy of an elastic body, The Rayleigh-Ritz method, Stationary principles and governing equations, Formulas for element stiffness matrices [k] and load vectors {re}, Consistent element nodal forces {re}, Global matrix assembly and solution, Stress Calculation, Isoparametric formulation. Introduction to finite element programs. Model generation and meshing using finite element programs. Applications on one, two and three-dimensional linear elastic problems.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Knows the basic formulations of finite element (FE) method for solid mechanics problems. 1 - 2 - 3 - 4 - 5 - A - C - 2 - Applies the FE formulations to some basic one and two-dimensional solid mechanics problems by hand. 1 - 2 - 3 - 4 - 5 - A - C - 3 - Derives and calculates shape functions for a different finite element types. 1 - 2 - 3 - 4 - 5 - A - C - 4 - Knows the iso-parametric formulation and its usage in finite element method. 1 - 2 - 4 - 5 - A - C - 5 - Calculates stiffness matrices and load vectors for different types of elements and loads. 1 - 2 - 3 - 4 - 5 - A - C - 6 - Using an FE software, generates one, two or three-dimensional models and meshes. 1 - 2 - 3 - 4 - 5 - 6 - 9 - A - C - 7 - Defines loading and boundary conditions and material properties for linear elastic finite element models. 1 - 2 - 3 - 4 - 5 - 6 - 9 - A - C - 8 - Performs solutions of linear finite element models, and interprets results in terms of displacements, stresses and deformations. 1 - 2 - 3 - 4 - 5 - 6 - 9 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice 5:Demonstration 6:Motivations to Show 9:Simulation Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Introduction, historical developments on Finite Element Methods
2 Basics of Finite Element Method for Solid Mechanics problems
3 Potential energy of an elastic body, The Rayleigh-Ritz method, Stationary principles and governing equations
4 Formulas for element stiffness matrices [k] and load vectors {re}, Consistent element nodal forces {re}
5 Global matrix assembly and solution, Stress Calculation
6 Isoparametric formulation
7 Isoparametric formulation
8 Introduction to available finite element programs
9 Model generation and meshing
10 Mid-term exam
11 Applications on linear elastic problems (1-D, 2-D, 3-D)
12 Applications on linear elastic problems (1-D, 2-D, 3-D)
13 Applications on linear elastic problems (1-D, 2-D, 3-D)
14 Applications on linear elastic problems (1-D, 2-D, 3-D)

#### Kaynaklar

Ders Notu
Ders Kaynakları 1. Concepts and Applications of Finite Element Analysis (Cook, Malkus and Plesha 4e, John Wiley & Sons, 2001, ISBN: 978-0-471-35605-9)
2. Finite Element Procedures (Bathe, Prentice Hall, 1996, ISBN: 0-13-301458-4).

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 50
Odev 1 50
Toplam 100
Yıliçinin Başarıya Oranı 60
Finalin Başarıya Oranı 40
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 15 15
Assignment 1 15 15
Final examination 1 15 15
Toplam İş Yükü 141
Toplam İş Yükü /25(s) 5.64
Dersin AKTS Kredisi 5.64
; ;