(1). Examples of Trusses and Beams Beyond Elasticity彈性結構學所不知道的桁架與梁
Truss of three bars 三桿桁架之塑性行為,
Plastic hinges appear and disappear mysteriously? 神出鬼沒的塑鉸.
(2). Evidences of Plastic Behavior 塑性行為證據.
Experiments 塑性力學的材料與結構實驗證據;
State space, and path 狀態, 狀態空間, 路徑;
Path-dependent behavior 路徑相依的行為.
(3). Framework and Relationship of Mechanics of Materials, Theory of
Structures, and Theory of Elasticity 材料力學、結構學、彈性力學的關係與架構.
Kinematics, Constitution, and equilibrium 機動、組成、平衡;
Generalized stress and generalized strain 廣義應力、廣義應變;
State space, state versus path 狀態空間, 狀態 vs. 路徑.
Goal of the present course 本課程之目標.
(A). Indicial notation, Cartesian tensors, and Invariants 指標記法、張量、不變量.
(4). Yield Conditions and Yield Surfaces 降伏條件、降伏面.
Classical yield functions.
(5). Models of Perfect Elastoplasticity 完全彈塑性組成律.
Ingredient of elastoplastic models;
Plastic flow rules 塑流規則;
Associated plastic flow rules.
Switch of plasticity 塑性機制的開關;
Plastic multiplier 塑性乘子;
Prandtl-Reuss model;
Response to rectilinear paths;
Elastoplasticity with piecewise linear multiple yield surfaces.
(6). Models of Hardening Elastoplasticity 硬軟化彈塑性組成律.
Hardening and softening 硬化軟化;
kinematic hardening and isotropic harderning 走動硬化與等向硬化.
Models of bilinear and mixed hardening elastoplasticity;
Armstrong-Frederick rule;
Cam-clay models.
Thermodynamical restrictions on plastic behavior 塑性行為的熱力學限制;
Yield and dissipation 降伏與耗散.
(7). Slip Line Theory 滑移線理論.
(8). Limit Analysis 極限分析.
Limit states, collapse surface 崩塌面;
Upper and lower bound theorems, uniqueness theorem;
(Mechanism method, Methods via mathematical programming)
Direct method for trusses and frames.
(9). (Dynamic Plasticity: Wave and Vibration 塑性動力學─波動及振動)
(10). (Boundary Value Problems 彈塑性邊界值問題.)
(11). (Finite Element Method for Plasticity 有限元素法概述─計算塑性力學.)
(12). Thermodynamic Aspects of Elastoplasticity 彈塑性的熱力學面向.
Thermodynamics 熱力學.