Course Title : Continuum Mechanics

Code 10F003
Course Year Master and Doctor Course
Term 1st term
Class day & Period Mon 2nd
Location C1-192
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Language Japanese
Instructor Kunitomo Sugiura, Tomomi Yagi

Course Description

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.


Assessment will be based on exam, report and participation.

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.

Course Topics

Theme Class number of times Description
Introductions 1
Matrices and tensors 1
differential and integral calculus of tensors 1
Kinematics 1 - Material derivative
Deformation and strain 2 - Strain tensors
- Compatibility conditions
Stress and equilibrium equation 1
Conservation law and governing equation 1
Constitutive equation of idealized material 1
Elastic-plastic behavior and constitutive equation of construction materials 1
Boundary value problem 1
Variational principle 1
Various kinds of numerical analyses 2
Confirmation of the attainment level of learning 1




Basic knowledge for structural mechanics, soil mechanics and fluid mechanics are required.

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