Dynamics of Solids and Structures
| Numbering Code | G-ENG07 6G230 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 | Mon.2 | |
| Instructor name |
BIWA SHIROU (Graduate School of Engineering Professor) ISHII YOSUKE (Graduate School of Engineering Assistant Professor) |
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| Outline and Purpose of the Course | Fundamental principles for dynamic deformations of solids and structures are examined. In particular, basic characteristics of elastic wave motion in solid media are emphasized. Dynamic responses and fracture behavior of materials and structures under impact loading are also considered. | |||
| Course Goals | This course aims to establish the understanding of basic characteristics of dynamic deformations, elastic waves and fracture in solid media, as well as to learn about technological applications of elastic waves in a variety of fields. Particular emphasis is put on the mathematical aspects of the physical phenomena involved. | |||
| Schedule and Contents |
Week 1: Fundamentals of elastodynamics (Expressions of stress and strain; Conservation laws; Hooke's law; Principle of virtual work; Hamilton's principle and its applications) Week 2: Basics of wave propagation (1) (One-dimensional wave equation; D'Alembert's solution; Harmonic waves) Week 3: Basics of wave propagation (2) (Spectral analysis; Waves in structural members; Dispersive waves; Phase and group velocities) Week 4: Stress waves in bars (Reflection and transmission at bi-material connection; Reflection at a free end; Stress wave by tensile loading at a bar end; Plastic wave) Week 5: Waves in isotropic elastic media (Navier's equations; Longitudinal and transverse waves; Plane elastic waves in isotropic solids) Week 6: Waves in anisotropic elastic media (1) (Voigt representation; Plane elastic waves in anisotropic solids; Christoffel's equation; Acoustic tensor) Week 7: Waves in anisotropic elastic media (2) (Plane waves in solids with cubic symmetry; Energy flux; Slowness surfaces) Week 8: Reflection and transmission (1) (Reflection and transmission of normally incident waves; Snell's law; Mode conversion) Week 9: Reflection and transmission (2) (Reflection and refraction of obliquely incident waves; Total reflection) Week 10: Guided elastic waves (Bulk waves and guided waves; Rayleigh wave) Week 11: Guided elastic waves (Lamb wave; SH plate wave; Love wave; Dispersion and multiple modes) Week 12: Dynamic fracture mechanics (1) (Linear fracture mechanics; Stress intensity factor; Energy release rate) Week 13: Dynamic fracture mechanics (2) (Stationary cracks under dynamic loading) Week 14: Dynamic fracture mechanics (3) (Propagating cracks; Dynamic energy release rate) Week 15: Feedback |
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| Evaluation Methods and Policy | Grading is made based on the final examination (about 70%) and the reports (about 30%). The total score is evaluated between 0 and 100 points (the pass mark is 60). | |||
| Course Requirements | Basic knowledge of mechanics of materials (solid mechanics, continuum mechanics) is expected. | |||
| Study outside of Class (preparation and review) | Enrolling students are expected to work on the lecture materials and the homework problems. | |||
| Textbooks | Textbooks/References | No textbooks are assigned. Print-outs are handed in when needed. | ||
| References, etc. | No reference books are assigned. | |||
| Related URL | ||||
