Continuum Mechanics
JA | EN
| 科目ナンバリング |
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| 開講年度・開講期 | 2020・前期 |
| 単位数 | 2 単位 |
| 授業形態 | 講義 |
| 対象学生 | 学部生 |
| 使用言語 | 英語 |
| 曜時限 | 火5 |
| 教員 |
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| 授業の概要・目的 | Continuum Mechanics is a branch of the physical sciences concerned with the deformations and motions of continuous media under the influence of external effects. The following basic items are explained with exercises such as fundamentals of tensor analysis, mathematical formulation of stress, strain, motion and displacement, conservation laws of continuous media (mass, momentum, angular momentum, energy conservation laws), constitutive laws of solids and fluids, principle of virtual work and minimum potential energy based on the calculus of variations and applications in elasticity, stress distribution, wave propagation and fluid dynamics. |
| 到達目標 | Based on the clear understanding of the mathematical formulation on deformation, stress and constitutive laws, students are required to understand the derivation of the equation of motion, conservation laws of angular momentum and energy. Principle of energy, variational method and initial-boundary-value problems are appended for enhancing understanding through theoretical applications |
| 授業計画と内容 | Elementary knowledge on tensor analyses (2 weeks) Stress and strain tensors (2 weeks) Mathematical formulation of conservation laws (2 weeks) Constitutive law of solids and fluids (2 weeks) Energy principle and applications (2 weeks) Application in solids (3 weeks) Basics of finite element method (1 week) Confirmation of understanding & Feedback class (1 week) |
| 成績評価の方法・観点 | Although understanding is mainly evaluated by the final examination, regular assignments taken during the class are included. |
| 履修要件 | Basic knowledge of calculus and linear algebra studied in 1st-2nd year of study |
| 授業外学習（予習・復習）等 | Review of vector and matrix analysis is recommended. |
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