Continuum Mechanics

Numbering Code U-ENG23 33117 LJ73 Year/Term 2022 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Tue.3
Instructor name HIGO YOUSUKE (Graduate School of Management Professor)
ONDA SHINICHIROU (Graduate School of Engineering Associate Professor)
PIPATPONGSA, Thirapong (Graduate School of Engineering Associate Professor)
Outline and Purpose of the Course Continuum Mechanics is a branch of the physical sciences dealing with the deformation and motion of continuous media under the influence of external effects.
The following basic items are explained with exercises: Fundamentals of tensor analysis, Mathematical formulation of deformation, motion and stress, Conservation laws of continuous media (mass, momentum, angular momentum, energy conservation laws), Constitutive laws of elastic body and Newtonian fluids, Principle of virtual work and minimum potential energy based on the calculus of variations, Finite Element Method, Applications in Elasticity and Fluid Dynamics.
Course Goals Based on the clear understanding of the mathematical formulation on deformation, stress and constitutive laws, students are requested to understand the derivation of the Equation of motion, Conservation laws of angular momentum and energy, certainly. Principle of vurtual work and minimum potential energy are attached inportance as the basis of Finit Element Method.
Schedule and Contents Elementary knowledge on tensor analysis,2times,Definition of tensors, Integral theorem, Material derivative over a material volume, Transformation of components of tensors, etc.
Stress, strain and strain rate tensors,2times,Definition of stress, strain and strain rate tensors, Transformation of components of these tensor variables, Invariants under coordinates transformation, Compatibility condition of strain, etc.
Mathematical formulation of conservation laws,2times,Mathematical expression of conservation laws of continuous media (mass, momentum, angular momentum, energy)
Constitutive law of solids and fluids,2times,Constitutive laws of elastic & visco elastic body and Newton fluids
Principles based on the calculus of variations and FEM,2times,Principle of vurtual work and minimum potential energy based on the calculus of variations, Finite Element Method, etc.
Applications in elasticity and fluid dynamics,4times,Applications in Elasticity and Fluid Dynamics. Wave propagation in elastic body, Thermal convection and Lorentz Chaos, etc.
Achievement confirmation,1time,Achievement of learning is confirmed.
Evaluation Methods and Policy Mainly regular examination. Reports and attendance are also considered for grading.
Course Requirements Basic understanding on differential and integral calculus and linear algebra
Textbooks Textbooks/References Printed materials on the contents of this subjetc are distributed in class.
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