Continuum Mechanics
Numbering Code |
G-ENG01 5F003 LJ73 G-ENG02 5F003 LJ73 |
Year/Term | 2022 ・ First semester | |
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Number of Credits | 2 | Course Type | Lecture | |
Target Year | Target Student | |||
Language | Japanese | Day/Period | Mon.2 | |
Instructor name |
SUGIURA KUNITOMO (Graduate School of Engineering Professor) YAGI TOMOMI (Graduate School of Engineering Professor) |
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Outline and Purpose of the Course | Continuum mechanics is a unified basis for solid mechanics and fluid mechanics. The aims of this course are to introduce the continuum mechanics from their basics to the some forms of constitutive law and also to provide students with mathematical way of understanding the continuum mechanics. This course contains the fundamentals of vector and tensor calculus, the basic equations of continuum mechanics, the tensor expressions of elastic problems and further applications. | |||
Course Goals | Fundamental theorems on structural mechanics and design will be learned, and ability to judge the proprieties of each computational structural analysis will be acquired. | |||
Schedule and Contents |
Introductions, 1time, Yagi - Outline of Structural Analysis - Mathematical Preliminaries (Vectors and Tensors) Matrices and tensors, 1time, Yagi - Summation Convention - Eigenvalues and Eigenvectors Differential and integral calculus of tensors, 1time, Yagi - Quotient Laws - Divergence Theorem Kinematics, 1time, Yagi - Material Description - Spatial Description - Material derivative Deformation and strain, 1times, Yagi - Strain tensors - Compatibility conditions Stress and equilibrium equation, 1time, Yagi - Stress Tensors - Equilbrium Equations Conservation law and governing equation, 1time, Yagi - Conservation of Mass - Conservation of Linear Momentum - Conservation of Energy Constitutive equation of idealized material, 1time, Sugiura - Perfect Fluid - Linear Elastic Material(Isotropic) Elastic-plastic behavior and constitutive equation of construction materials, 1time, Sugiura - Yield Criteria - Flow Rule - Hardening Rule Boundary value problem, 1time, Sugiura - Governing Equations and Unknowns - Navier-Stokes Equation - Navier Equation Variational principle, 2time, Sugiura - Principle of Virtual Work - Principle of Complementary Virtual Work Various kinds of numerical analyses, 2times, Sugiura - Weighted Residual Method - Finite Element Method Confirmation of the attainment level of learning, 1time, All Feedback based on the Final Examination |
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Evaluation Methods and Policy | Assessment will be based on exam, report and participation. | |||
Course Requirements | Basic knowledge for structural mechanics, soil mechanics and fluid mechanics are required. | |||
Study outside of Class (preparation and review) | As appropriate, the assignments are given based on the content of Lecture. | |||
Textbooks | Textbooks/References | Handouts are given | ||
References, etc. | not specified | |||
Related URL |