1.金属材料の塑性変形概論
1.1 単軸引張り・圧縮時の金属材料の変形
1.2 大変形に対応した応力とひずみ、ひずみ増分
1.3 応力-ひずみ曲線の数式化
1.4 塑性変形の非圧縮性、転位運動とすべり、Schmid因子
2.塑性学
2.1 塑性力学の体系、Cauchyの関係式
2.2 3次元変形に対応したひずみ増分
2.3 固有方程式
2.4 偏差応力
2.5 降伏条件の一般形式と具体形
2.6 降伏関数・降伏曲面と法線則
2.7 加工硬化則と流れ則・塑性ポテンシャル
2.8 剛塑性構成式
2.9 変形勾配の弾塑性分解と等方性材料についての弾塑性構成式
3.塑性異方性
3.1 薄板の面内異方性と異方性を表すパラメータの二つの決定法
3.2 異方性を表す降伏条件の例(Hill48)
3.3 Hill48降伏関数に基づく関連流れ則
3.4 変形の異方性による異方性パラメータの決定法
3.5 変形の異方性と降伏条件(応力)の異方性
3.6 Hill48降伏関数・塑性ポテンシャル関数に基づく非関連流れ則
4.バウシンガ効果と移動硬化
4.1 バウシンガ効果と降伏曲面
4.2 背応力の発展についてのChabocheのモデル
4.3 複合硬化の構成式の導出
5.塑性学のマルチスケール
5.1 延性材料の応力―ひずみ曲線
5.2 転位の動力学
1. Introduction to plastic deformation of metallic materials
1.1 Deformation of metallic materials under uniaxial tension and compression
1.2 Stress, strain and strain increments suitable for large deformation
1.3 Formularization of stress-strain curves
1.4 Incompressibility of plastic deformation, slip, motion of dislocations, and Schmid factor
2. Plasticity
2.1 Framework of plasticity, Cauchy’s relation
2.2 Strain increment for three-dimensional deformation
2.3 Equation for eigenvalue problem
2.4 Deviatoric stress
2.5 General and concrete form of yield condition
2.6 Yield function, yield locus and normality
2.7 Work hardening rule, flow rule and plastic potential
2.8 Constitutive equation for rigid-plastic body
2.9 Decomposition of deformation gradient, and constitutive equation for isotropic elastic-plastic bodies
3. Plastic anisotropy
3.1 In-plane anisotropy and two methods for determining anisotropic parameters
3.2 Example of anisotropic yield function (Hill48)
3.3 Associated flow rule based on Hill48 yield function
3.4 Method to anisotropic determine parameters for deformation anisotropy
3.5 Deformation anisotropy and anisotropy of stress, and yield function
3.6 Non-associated flow rule based on Hill48 yield function and plastic potential function
4. Baushinger effect and kinetic hardening
4.1 Baushinger effect and yield locus
4.2 Chaboche model for the evolution of back stress
4.3 Constitutive equation for mixed hardening
5. Multi-scale in plasticity
5.1 Stress-strain curves in ductile materials
5.2 Dislocation dynamics