1. Nonlinear Analysis of Reinforced Concrete Xuehui AN

2. Today’s Agenda Review of last week’s lecture Constitutive Models for RC (I) Today’s Topic

3. General Methods Level 3 Constitutive ModelsExperimental Results 2-D RC Members Force-Deformation 2-D RC Members Modeling Level 2 2-D RC stress-strain 2-D Stress RC Plates Modeling Level 1 1-D RC stress-strain Bond 1-D Stress RC Modeling Level 0 Concrete, Reinforcement, Bond, Crack Microstructure, bond Modeling

4. General Methods Smeared Average Level 0 Level 1 Level 2 Level 3

5. Level 1 Level 2 Level 3 General Methods Smeared Average

6. Reinforced Concrete Plate Element Model 1 Method of Modeling 2 Concrete Model Prior to Generation of Cracks (1) Elasto-Plastic and Fracture Model (2) Cracking Criteria 3 Modeling of Cracked Concrete (1) Modeling of Concrete under Tensile Stress (2) Modeling of Concrete under Compressive stress (3) Modeling of Concrete under Shear Stress (4) Inter-relation of Each Model 4 Modeling of Reinforcing Bar in Concrete 5 Verification Chapter 2

8. 1 Method of Modeling 2 Concrete Model Prior to Generation of Cracks (1) Elasto-Plastic and Fracture Model (2) Cracking Criteria 3 Modeling of Cracked Concrete (1) Modeling of Concrete under Tensile Stress (2) Modeling of Concrete under Compressive stress (3) Modeling of Concrete under Shear Stress (4) Inter-relation of Each Model 4 Modeling of Reinforcing Bar in Concrete 5 Verification

9. Strain ----Stress of RC = stress of concrete + stress of steel strain stress

10. 1 Method of Modeling 2 Concrete Model Prior to Generation of Cracks (1) Elasto-Plastic and Fracture Model (2) Cracking Criteria 3 Modeling of Cracked Concrete (1) Modeling of Concrete under Tensile Stress (2) Modeling of Concrete under Compressive stress (3) Modeling of Concrete under Shear Stress (4) Inter-relation of Each Model 4 Modeling of Reinforcing Bar in Concrete 5 Verification

17. Today’s Topic: Disaster Mitigation and Life Cycle Management Input Simulator (Model and Tool) Society Engineering –Information Sharing –Business Motivation

18. Construction Maintaining / Repair Serving Recycle Cost Management Information Technology Environment Society Life-Cycle-CostLife-Cycle-Management Design Geographic Geological Study Lease Resale Management Insurance Investigation Structural performance evaluation Material study Structural performance study A Sustainable World

19. Disaster Mitigation and Life Cycle Management LCC ＝ Ci + Cm + Cl + Cr+ Ca LCC ：生命周期总成本（ Life Cycle Cost ）； Ci ：初始成本（ Initial Cost ），建设费用； Cm ：维护管理成本 (Maintaining Cost) ； Cl ：损失成本 （ Losing Cost ）； Cr ：维修加固成本 (Repairing Cost) ； Ca ：拆毁废弃成本 (Abandon Cost) 。 A Sustainable World

20. Disaster Mitigation and Life Cycle Management Life Cycle Performance Required Performance Required Life Initial Performance Damage Maintaining LCC ＝ Ci + Cm + Cl + Cr+ Ca LCC ：生命周期总成本（ Life Cycle Cost ）； Ci ：初始成本（ Initial Cost ），建设费用； Cm ：维护管理成本 (Maintaining Cost) ； Cl ：损失成本 （ Losing Cost ）； Cr ：维修加固成本 (Repairing Cost) ； Ca ：拆毁废弃成本 (Abandon Cost) 。 Prediction of damage Evaluation of maintaining effect A Sustainable World

21. Disaster Mitigation and Life Cycle Management Life Cycle Performance Required Performance Required Life Initial Performance Damage Maintaining LCC ＝ Ci + Cm + Cl + Cr+ Ca LCC ：生命周期总成本（ Life Cycle Cost ）； Ci ：初始成本（ Initial Cost ），建设费用； Cm ：维护管理成本 (Maintaining Cost) ； Cl ：损失成本 （ Losing Cost ）； Cr ：维修加固成本 (Repairing Cost) ； Ca ：拆毁废弃成本 (Abandon Cost) 。 Prediction of earthquake damage Prediction of earthquake losing Evaluation of repairing effect Earthquake disaster Repairing A Sustainable World

22. Today’s Topic: Disaster Mitigation and Life Cycle Management Input Simulator (Model and Tool) Society Engineering –Information Sharing –Business Motivation A Sustainable World

24. RB: Rubber Bearing

25. A Sustainable WorldSteel Damper

26. A Sustainable WorldLead Damper

27. A Sustainable WorldIsolating and damping effect