Mechanical Properties of Solids and Fracture Mechanics
| Numbering Code |
U-ENG23 33190 LJ75 U-ENG23 33190 LJ77 |
Year/Term | 2022 ・ Second semester | |
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| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Wed.2 | |
| Instructor name |
TSUKADA KAZUHIKO (Graduate School of Engineering Professor) MURATA SUMIHIKO (Graduate School of Engineering Associate Professor) |
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| Outline and Purpose of the Course | For crystalline materials such as rock and metal, macroscopic behaviors of deformation and destruction are explained from the microscopic standpoint of applying fracture mechanics and solid mechanics. | |||
| Course Goals | The goals of this course are to master the evaluation of elastic modulus of crystalline materials considering its anisotropy and to master the fracture mechanics for a crack containing material by estimating stress intensity factor, energy release rate, and J integral. By taking this course, students can understand crystalline and crack-containing materials' elastic deformation and strength. | |||
| Schedule and Contents |
1st: Explanation about the contents, schedule and evaluation etc. Introduction: "Mechanical properties of materials; deformation and destruction", "Industry and materials testing", "Accident caused by material destruction", "Physics of deformation and destruction", "Materials science for Earth Resources Engineering" 2nd: Stress/strain and elasticity (Hooke's law and practical elastic modulus, Stress/strain tensor, crystal structure and symmetry) 3rd: Stress/strain and elasticity (Crystal system and elastic constant) 4th: Mechanical properties of atomic bonds and solids (bond strength between atoms, Types of atomic bonds, Ionic crystal and Madelung constant) 5th: Mechanical properties of atomic bonds and solids (Covalent bond, Interatomic potential and physical properties) 6th: The latticed spring model of elastic body (Coordinate transformation and apparent Young's modulus), Theoretical strength of perfect crystal 7th: Intermediate examination 8th: Brittle fracture and ductile fracture (Characteristics of brittle fracture and ductile fracture, Griffith's fracture theory for brittle material) 9th: Linear fracture mechanics (Deformation mode, Stress field and displacement field in the vicinity of the crack tip, Stress intensity factor, Strain energy release rate) 10th: Nonlinear fracture mechanics (J integral, Crack opening displacement) 11th: Fracture toughness and fatigue (Fracture toughness value, Fracture toughness test, Mechanism of fatigue, Fatigue life) 12th: Crack and Fracture in mixed mode (Crack propagation and destruction criteria in a mixed mode of mode I + mode II and mode I + mode II + mode III) 13th: Mechanical model of composite material (Voigt model, Reuss model, Intermediate model of Voigt model and Reuss model, Eshelby's equivalent inclusion method) 14th: Rheology model (Macro rheology model, Microrheology model) 15th: Feedback class (Review of the whole class and examination) |
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| Evaluation Methods and Policy | A quiz or report problem is given in every class. The grade is evaluated by the sum of their scores and the midterm and final exams. The grading weights of them are 30% and 70%, respectively. | |||
| Course Requirements | Differential calculus, integral calculus and linear algebra are necessary for this course. | |||
| Study outside of Class (preparation and review) | Review the lecture materials and note by yourself. In the next lecture, make a qustion about the points that you could not understand well. | |||
| Textbooks | Textbooks/References | Not specified | ||
| References, etc. |
Zairyo Kyodo Kaiseki-gaku, Keiichiro Togo, ( Uchida Rokakuho Publishing Co., Ltd), ISBN:4753651320, in Japanese Strength of materials, Naohiro Igata, (Baifukan Co.), ISBN:4563031860, in Japanese Kittel's Introduction to Solid State Physics, Charles Kittel, (Wiley John + Sons), ISBN:1119454166 |
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