Numbering Code	G-ENE03 66307 LJ71 G-ENE03 66307 LJ73 G-ENE03 66307 LJ75	Year/Term	2022 ・ Second semester
Number of Credits	2	Course Type	Lecture
Target Year		Target Student
Language	Japanese	Day/Period	Mon.3
Instructor name	IMATANI SHIYOUJI (Graduate School of Energy Science Professor)
Outline and Purpose of the Course	This course deals with the continuum mechanics from the unified approach of classical continuum mechanics and thermodynamics. Departing from the mathematical foundation and the general theory of continuum thermodynamics, we discuss the constitutive theory of thermoelasticity and thermoplasticity. And the topis is extended to the inhomogeneous materials. The emphasis is laid on the theoretical treatment of solid materials.
Course Goals	The course is designed: to understand the thermodynamic force and its effect on the normality rule with maximum dissipation, to learn the internal state variable theory, and to understand the formulation process of constitutive equations based on continuum thermodynamics.
Schedule and Contents	(1) Mathematical foundation: Convex analysis, Sub-gradient, Legendre transformation (2) Basics of continuum thermodynamics(1): Kinematics, Conservation (3) Basics of continuum thermodynamics(2): Fundamental laws in thermodynamics, Entropy, Thermodynamic potentials (4) Basics of continuum thermodynamics(3): Internal state variable theory, Thermodynamic force, Role of potentials (5) Constitutive theory(1): Derivation of thermo-elasticity, heat conduction (6) Constitutive theory(2): Visco-elasticity, Viscous stress, Viscoelastic models (7) Constitutive theory(3): Perfect plasticity without internal variables (8) Constitutive theory(4): Work-hardening plasticity, Role of internal variables (9) Finite deformation(1): Stress and strain measures, Re-visit to conservation laws (10) Finite deformation(2): Pull-back, Push-forward, Piola transformation (11) Finite deformation(3): Constitutive equations in finite deformation, Re-formulation of governing equations (12) Material space(1): Inhomogeneity, Direct-/Inverse-variational formulation (13) Material space(2): Pseudo-momentum, Configurational force, Energy flow in material space (14) Material space(3): Eshelby stress, Application to fracture (15) Evaluation/examination
Evaluation Methods and Policy	Achievement will be graded based on the examination (60%) and attendance (40%).
Course Requirements	None
Study outside of Class (preparation and review)	Students are encouraged to review the related subjects, e.g. continuum mechanics, thermodynamics, learned in the undergraduate course.
Textbooks	Textbooks/References	Handout prints and/or relevant prints will be distributed.
References, etc.	連続体の熱・力学入門, H.ツィーグラー, (森北出版) The Thermodynamics of Nonlinear Irreversible Behaviors, G. A. Maugin, (World Scientific), ISBN:9810233752