Numbering Code	G-ENG05 5G003 LJ71 G-ENG06 5G003 LJ71 G-ENG07 5G003 LJ77	Year/Term	2022 ・ First semester
Number of Credits	2	Course Type	Lecture
Target Year		Target Student
Language	Japanese	Day/Period	Thu.1
Instructor name	HIRAKATA HIROYUKI (Graduate School of Engineering Professor) SHIMADA TAKAHIRO (Graduate School of Engineering Professor)
Outline and Purpose of the Course	This course provides fundamental concepts of solid mechanics such as stress, strain, and constitutive laws, and methods for analyzing stress/strain fields and deformation of solids and structures on the basis of the concepts. In particular, the course lectures theories of nonlinear problems such as plasticity and creep, and their numerical solutions, or finite element methods, which are important for design and development of mechanical structures.
Course Goals	Students will be able to: understand solid mechanics deeply and acquire basic knowledge to design mechanical structures. analyze problems of plasticity and creep by finite element methods.
Schedule and Contents	Introduction,1time,Overview of solid mechanics Stress,1time,Cauchy stress tensor, Equilibrium equation, Invariants Deformation,2times,Material description and spatial description, Displacement, Deformation gradient, Lagrange-Green strain and Euler-Almansi strain, Infinitesimal strain, Material time derivative Constitutive equation: linear elasticity,1time,Linear elastic stress-strain response, Hooke’s law Principle of virtual work and principle of minimum potential energy,1time,Principle of virtual work, Principle of minimum potential energy Finite element method for linear elasticity,3times,Basis of finite element method, Finite element equilibrium equations, Elements, Numerical integration Plasticity problems,3times,Plasticity theory (uniaxial and multiaxial problems, yield criteria, flow rule, hardening rule, constitutive equations), Finite element method for elasto-plastic problems Creep problems,2times,Creep theory (uniaxial and multiaxial constitutive equations), Finite element method for creep problems Summary,1time,Discussions and reports Feedback,1time
Evaluation Methods and Policy	Grading is based on the examination, possibly with considerations of the homework reports.
Course Requirements	This course requires basic knowledge of mechanics of materials and solid mechanics.
Study outside of Class (preparation and review)	Preparation and review of lecture materials. Exercises.
Textbooks	Textbooks/References	Lecture materials are distributed in the classroom.
References, etc.	T. Kyoya, Continuum Mechanics, Morikita (2008) (in Japanese) Y. Tomita, “Foundation and Application of Elastoplasticity” Morikita (1995) (in Japanese) E. Neto et al., “Computational Methods for Plasticity,” John Wiley & Sons (2008).
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