Plane Stress Concrete Materials
WARNING .. AT PRESENT CODE AS SUBMITTED DOES NOT APPEAR TO WORK .. LOOK AT CONVERGENCE IN EXAMPLE
A number of Reinforced and Prestressed Concrete Plane Stress Materials are available. The ones on this page have been provided the University of Houston and are based on the Cyclic Softened Membrane Model (CSMM). They are capable of modeling the cyclic shear behavior of prestressed and reinforced concrete membranes.
This code has been developed at the University of Houston by: A. Laskar, J. Zhong, Y.L. Mo , and Thomas T.C. Hsu,
This command is used to construct a Reinforced Concrete Plane Stress material object based on Rotating Angle Theory with steel along two directions.
| nDMaterial ReinforcedConcretePlaneStress matTag? rho? s1? s2? c1? c2? angle1? angle2? rou1? rou2? fpc? fy? E0? epsc0? |
This command is used to construct a Reinforced Concrete Plane Stress material object based on Fixed Angle theory with steel along two directions.
| nDMaterial FAReinforcedConcretePlaneStress matTag? rho? s1? s2? c1? c2? angle1? angle2? rou1? rou2? fpc? fy? E0? epsc0? |
This command is used to construct a Reinforced Concrete Plane Stress material object based on Rotating Angle theory with steel along four directions.
| nDMaterial RAFourSteelRCPlaneStress matTag? rho? UniaxiaMatTag1? UniaxiaMatTag2? UniaxiaMatTag3? UniaxiaMatTag4? UniaxiaMatTag5? UniaxiaMatTag6? angle1? angle2? angle3? angle4? rou1? rou2? rou3? rou4? fpc? fy? E0? epsc0? |
This command is used to construct a Reinforced Concrete Plane Stress material object based on Fixed Angle theory with steel along four directions.
| nDMaterial FAFourSteelRCPlaneStress matTag? rho? UniaxiaMatTag1? UniaxiaMatTag2? UniaxiaMatTag3? UniaxiaMatTag4? UniaxiaMatTag5? UniaxiaMatTag6? angle1? angle2? angle3? angle4? rou1? rou2? rou3? rou4? fpc? fy? E0? epsc0? |
This command is used to construct a Prestressed Concrete Plane Stress material object based on Rotating Angle Theory with steel along two directions.
| nDMaterial PrestressedConcretePlaneStress matTag? rho? t1? s1? c1? c2? angle1? angle2? rou1? rou2? pstrain? fpc? fyT? fy2? E0? epsc0? |
This command is used to construct a Prestressed Concrete Plane Stress material object based on Fixed Angle theory with steel along two directions.
| nDMaterial FAPrestressedConcretePlaneStress matTag? rho? t1? s2? c1? c2? angle1? angle2? rou1? rou2? pstrain? fpc? fyT? fy? E0? epsc0? |
This command is used to construct a Prestressed Concrete Plane Stress material object based on Rotating Angle Theory with steel along four directions.
| nDMaterial RAFourSteelPCPlaneStress matTag? rho? UniaxiaMatTag1? UniaxiaMatTag2? UniaxiaMatTag3? UniaxiaMatTag4? angle1? angle2? rou1? rou2? pstrain? fpc? fyT? fy? E0? epsc0? |
This command is used to construct a Prestresed Concrete Plane Stress material object based on Fixed Angle theory with steel along four directions.
| nDMaterial FAFourSteelPCPlaneStress matTag? rho? t1? t2? s3? s4? c1? c2? angle1? angle2? angle3? angle4? rou1? rou2? rou3? rou4? pstrain1? pstrain2? fpc? fyT? fy? E0? epsc0? |
| $matTag | integer tag identifying material |
| $rho | material density |
| $t1 $t2 | material tags for uniaxial materials of type TendonL01 |
| $s1 $s2 .. | material tags for uniaxial materials of type SteelZ01 |
| $c1 $c2 | material tags for uniaxial materials of type ConcreteL01, ConcreteZ01 |
| $angle1 $angle2 ... | angle of i'th (steel or tendon) layer to x coordinate |
| $rou1 $rou2 ... | steel ratio of the i'th layer. |
| $pstrain1 $pstrain2 | initial strain in tendons |
| $fpc | compressive strength of concrete |
| $fyT | yield strength of tendons |
| $fy | yield strength of steel |
| $E0 | initial stiffness of steel (Young's Modulus) |
| $epsc0 | compressive strain of concrete |
A number of special uniaxial materials are needed for these materials. These materials are created using the following uniaxialMaterial commands.
| uniaxialMaterial SteelZ01 tag? fy? E0? fpc? rou? <ac?> <rc?> |
| uniaxialMaterial TendonL01 tag? fpy? Eps? fpc? rou? epsp? <ac?> <rc?> |
| uniaxialMaterial ConcreteL01 tag? fpc? epsc0? |
| uniaxialMaterial ConcreteZ01 tag? fpc? epsc0? |
| $tag | unique uniaxial integer tag identifying material |
| $fy | yield strength bare steel |
| $E0 | initial stiffness |
| $fpc | compressive strength of concrete |
| $epsc0 | strain at compressive strength |
| $rou | steel ratio |
| $epsp | prestress strain |
| $ac | unloading path parameter (default = 1.9) |
| $rc | reloading path parameter (default = 10.0) |
EXAMPLE
REFERENCES
T.T.C. Hsu and Y.L. Mo, "Unified Theory of Concrete Structures", Wiley, COMING APRIL 2010
Y.L. Mo, J. Zhong, T.T.C. Hsu, "Seismic simulation of RC wall-type structures",Engineering Structures, 30(11), 3167-3175, 2008.