Numbering Code	U-ENG25 35020 LJ71	Year/Term	2022 ・ Second semester
Number of Credits	2	Course Type	Lecture
Target Year		Target Student
Language	Japanese	Day/Period	Tue.3
Instructor name	ADACHI TAIJI (Institute for Frontier Life and Medical Sciences Professor)
Outline and Purpose of the Course	This lecture provides an introduction to the theory of continuum mechanics for its application to the fields of bioengineering and biomedical engineering.
Course Goals	Students will be able to understand tensor analysis and continuum mechanics, and to apply them in modeling of living tissues and cells.
Schedule and Contents	１）Introduction to continuum mechanics ２）Mathematical preliminaries Matrix algebra, Index notation, Summation convention, Eigenvalues and eigenvectors ３，４）Vectors and tensors Cartesian tensors, Scalar and vector products, Dyadic product, Coordinate transformation,Invariants, Nabla operator, Divergence theorem ５，６）Kinematics Bodies and configurations, Displacement, Strain tensor, Compatibility, Material time derivative ７，８）Stress and equilibrium Force and stress, Stress tensor, Traction, Cauchy stress, Principal stresses, Equation of equilibrium ９，１０）Conservation Laws and governing equations Mass conservation, Linear and angular momentum, The first law of thermodynamics for continua １１，１２）Constitutive models Constitutive equations, Stress-strain relationship, Linear elasticity, Newtonian viscous fluids,Material symmetry, Biological tissues １３，１４）Boundary value problems Differential equations with a set of boundary conditions, Navier-Stokes equation, Navier's equation １５）Feedbacks Application of continuum mechanics to the analyses of biological tissues, Introduction to biomechanics
Evaluation Methods and Policy	Exam 100 (+ Reports max 10)
Course Requirements	None
Study outside of Class (preparation and review)	.
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