Numbering Code	U-ENG23 33515 LE73	Year/Term	2022 ・ First semester
Number of Credits	2	Course Type	Lecture
Target Year		Target Student
Language	English	Day/Period	Tue.5
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 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.
Course Goals	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
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 Principle of energy, variational method and initial-boundary-value problems,2times,Principle of virtual work and minimum potential energy based on the calculus of variations as well as initial-boundary-value problems Applications in elasticity and fluid dynamics,4times,Applications in Elasticity and Fluid Dynamics. Stress distribution and Wave propagation in elastic body, Thermal convection and Lorentz Chaos, etc. Class feedback,1time,Achievement confirmation
Evaluation Methods and Policy	Mainly regular examination. Assignments are also considered to some extent.
Course Requirements	Basic understanding on differential and integral calculus, linear algebra and matrix analysis
Study outside of Class (preparation and review)	Elementary knowledge of vector analysis is required.
Textbooks	Textbooks/References	Printed materials on the contents of this subject are distributed
References, etc.	P. Chadwick, "Continuum Mechanics: Concise Theory and Problems", Dover Publications isbn{}{0486401804} A.J.M. Spencer, "Continuum Mchanics", Dover Publications isbn{}{0486435946} G.E. Mase, "Schaum's Outline of Continuum Mechanics", McGraw-Hill isbn{}{0070406634}
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