Canadian Dam Association Bulletin - Fall 2016 - 29

Figure 1: Stress-strain curve for concrete - Modified Hognested 3.2 Concrete Damaged Plasticity (CDP) The Concrete Damaged Plasticity (CDP) model (Lubliner et al. 1989, Lee et al. 1998, and Li et al. 2005) is the most comprehensive model. The CDP is a continuum, plasticity-based damage model for concrete. It assumes two concrete failure mechanisms: tensile cracking and compressive crushing of the material, and that the uniaxial tensile and compressive response of concrete is characterized by damaged plasticity. The CDP model in ABAQUS/ CAE is designed for applications in which concrete is subjected to monotonic, cyclic, and/or dynamic loading under low confining pressures for all types of structures (beams, trusses, shells, and solids). The model uses concepts of isotropic damaged elasticity in combination with isotropic tensile and compressive plasticity to represent the inelastic behavior of concrete. elastic stiffness is characterized by damage variable in tension, which can take the value from zero, representing the undamaged material, to one, representing the total loss of strength. Furthermore, the concrete will crack under the effect of temperature and shrinkage, and therefore loses its strength. Hence, it was appropriate to use a reduced value for the tensile strength of concrete in the FEA of the reinforced concrete members. 3.4 Behavior of Concrete in Compression Under uniaxial compression, the response is linear until the value of initial yield is reached. In the plastic regime, the response is typically characterized by stress hardening followed by strain softening beyond the ultimate stress. Canadian Dam Association * Fall 2016 When the concrete specimen is unloaded from any point on the strain softening branch of the stress-strain curves, the unloading response is weakened and the elastic stiffness of the material is degraded or damaged. The degradation of the elastic stiffness is characterized by damage variable, which can take values from zero, representing the undamaged material, to one, representing the total loss of strength. 3.5 Stress-Strain Relationship in Concrete The stresses in the concrete substructure are bending plus axial stresses. Therefore, the Modified Hognestad method (MacGregor 1997) is used as analytical approximation for the compressive stress-strain curve for concrete as shown in Figure 1. The modulus of elasticity of concrete (Ec) is taken as 26000 MPa. Generally, the stress-strain 600 500 3.3 Behavior of Concrete in Tension f u=482 Stress fu (MPa) Under uniaxial loading in tension, the stress-strain response follows a linear elastic relationship until the failure stress. Beyond the failure stress, there will be a softening stressstrain response. When the concrete specimen is unloaded from any point on the strain softening branch of the stress-strain curve, the unloading response is weakened and the elastic stiffness of the material is degraded or damaged. The degradation of the Figure 2: Stress-strain curve for reinforcement - Elastic-Plastic 400 300 f y=248 200 100 0 Es =200x103 00.0124 0.05 0.1 0.15 0.2 0.25 Figure 3: Stress-strain curve for stay vanes and speedStrain rings Es 29

Table of Contents for the Digital Edition of Canadian Dam Association Bulletin - Fall 2016

Board of Directors
Board of Directors Nominations
Remedial Work at Lake Major Dam
CDA Conference Report: Otto Holden Generating Station Alkali-Aggregate Reaction Investigation
DSR Bulletin
Icold Corner
Notice of Annual General Meeting
Call for Papers, 2017 Conference
Young Professional Activities
Buyers’ Guide and Trade List
Canadian Dam Association Bulletin - Fall 2016 - cover1
Canadian Dam Association Bulletin - Fall 2016 - cover2
Canadian Dam Association Bulletin - Fall 2016 - 3
Canadian Dam Association Bulletin - Fall 2016 - 4
Canadian Dam Association Bulletin - Fall 2016 - 5
Canadian Dam Association Bulletin - Fall 2016 - 6
Canadian Dam Association Bulletin - Fall 2016 - Board of Directors
Canadian Dam Association Bulletin - Fall 2016 - 8
Canadian Dam Association Bulletin - Fall 2016 - Board of Directors Nominations
Canadian Dam Association Bulletin - Fall 2016 - Remedial Work at Lake Major Dam
Canadian Dam Association Bulletin - Fall 2016 - 11
Canadian Dam Association Bulletin - Fall 2016 - 12
Canadian Dam Association Bulletin - Fall 2016 - 13
Canadian Dam Association Bulletin - Fall 2016 - 14
Canadian Dam Association Bulletin - Fall 2016 - 15
Canadian Dam Association Bulletin - Fall 2016 - 16
Canadian Dam Association Bulletin - Fall 2016 - 17
Canadian Dam Association Bulletin - Fall 2016 - 18
Canadian Dam Association Bulletin - Fall 2016 - 19
Canadian Dam Association Bulletin - Fall 2016 - 20
Canadian Dam Association Bulletin - Fall 2016 - 21
Canadian Dam Association Bulletin - Fall 2016 - 22
Canadian Dam Association Bulletin - Fall 2016 - 23
Canadian Dam Association Bulletin - Fall 2016 - 24
Canadian Dam Association Bulletin - Fall 2016 - 25
Canadian Dam Association Bulletin - Fall 2016 - CDA Conference Report: Otto Holden Generating Station Alkali-Aggregate Reaction Investigation
Canadian Dam Association Bulletin - Fall 2016 - 27
Canadian Dam Association Bulletin - Fall 2016 - 28
Canadian Dam Association Bulletin - Fall 2016 - 29
Canadian Dam Association Bulletin - Fall 2016 - 30
Canadian Dam Association Bulletin - Fall 2016 - 31
Canadian Dam Association Bulletin - Fall 2016 - 32
Canadian Dam Association Bulletin - Fall 2016 - 33
Canadian Dam Association Bulletin - Fall 2016 - 34
Canadian Dam Association Bulletin - Fall 2016 - 35
Canadian Dam Association Bulletin - Fall 2016 - 36
Canadian Dam Association Bulletin - Fall 2016 - 37
Canadian Dam Association Bulletin - Fall 2016 - DSR Bulletin
Canadian Dam Association Bulletin - Fall 2016 - Icold Corner
Canadian Dam Association Bulletin - Fall 2016 - 40
Canadian Dam Association Bulletin - Fall 2016 - Notice of Annual General Meeting
Canadian Dam Association Bulletin - Fall 2016 - Call for Papers, 2017 Conference
Canadian Dam Association Bulletin - Fall 2016 - 43
Canadian Dam Association Bulletin - Fall 2016 - Young Professional Activities
Canadian Dam Association Bulletin - Fall 2016 - Buyers’ Guide and Trade List
Canadian Dam Association Bulletin - Fall 2016 - 46
Canadian Dam Association Bulletin - Fall 2016 - cover3
Canadian Dam Association Bulletin - Fall 2016 - cover4
Canadian Dam Association Bulletin - Fall 2016 - outsert1
Canadian Dam Association Bulletin - Fall 2016 - outsert2
Canadian Dam Association Bulletin - Fall 2016 - outsert3
Canadian Dam Association Bulletin - Fall 2016 - outsert4
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