Numbering Code	G-ENE03 63329 LJ75 G-ENE03 63329 LJ71 G-ENE03 63329 LJ73	Year/Term	2022 ・ First semester
Number of Credits	2	Course Type	Lecture
Target Year	Master's students	Target Student
Language	Japanese	Day/Period	Tue.1
Instructor name	IMATANI SHIYOUJI (Graduate School of Energy Science Professor)
Outline and Purpose of the Course	The purpose of this subject is to analyze the mechanical behavior of materials beyond the yield limit. Based on the nonlinear continuum mechanics, we discuss various kinds of conservation laws, modelling of constitutive equations, and some application to boundary value problems including metal forming processes and finite deformation simulations.
Course Goals	The course is designed: to furnish the comprehensive understanding of plastic deformation based on the continuum mechanics viewpoint, to understand the technique to formulate the nonlinear characteristics of real material behavior, and to learn how the basic equations are applied to the numerical analyses of plastic processes.
Schedule and Contents	(1) Mathematical foundation: Vector algebra, Tensor algebra, Tensor analysis (2) General theory of continuum mechanics(1): Kinematics, Conservation laws, Local forms (3) General theory of continuum mechanics(2): Linear elastic constitutive equations, Thermo-elasticity, Genral theory of plasticity and plastic potential (4) Plastic deformation: Mechanism of plastic deformation, Characteristics in metals and non-metallic materials (e.g. geo-materials) (5) Modeling of plastic yielding: Tresca and von Mises criteria, Subsequent yield and work-hardening (6) Plastic flow and stress-strain relation: Constitutive equations of elastic-plastic materials, Incremental theory, Creep and visco-plasticity (7) Analysis of plastic deformation(1): Bending of beams, Torsion of axis, Cylindrical/spherical problems (8) Analysis of plastic deformation(2): Slab method, Characteristic line (slip-line theory) (9) Limit analysis: Upper-Lower bound theorems, Shakedown and incremental collapse (10) Plastic instabilities: Necking of bars, Local neck of plates, Column buckling (11) Dynamic problems: Elastic wave and plastic wave, Plasticity shock on bars (12) Numerical analysis(1): Basics of finite element method, Derivation of stiffness equation, Base functions (13) Numerical analysis(2): Elastic-plastic analysis, Rigid plastic analysis, Creep analysis (14) Structural members: Plates and shells, Kinematics of shells (15) Evaluation/examination
Evaluation Methods and Policy	Achievement will be graded based on the examination (80%) and reports (20%). The report will be imposed two or three times with regards to the topics.
Course Requirements	None
Study outside of Class (preparation and review)	Students are encouraged to check some of the basic knowledge on the mechanics of materials and/or structural mechanics delivered in undergraduate course.
Textbooks	Textbooks/References	Handout prints are distributed.
References, etc.	Plasticity Theory, J. Lubliner, (Dover Publications), ISBN:0486462900 The thermomechanics of Plasticity and Fracture, G. A. Maugin, (Cambridge University Press), ISBN:0521397804