Plane Stress Concrete Materials
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 behaviour of prestressed and reinforced concrete membranes.
This code has been developed by: A. Laskar, Univ of Houston, J. Zhong, Univ of Houston, Y.L. Mo Univ of Houston, and Thomas T.C. Hsu, Univ of Houston,
This command is used to construct an Reinforced Concrete Plane Stress material object.
| nDMaterial DMaterial 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.
| nMaterial 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 Fixed Angle theory.
| nMDaterial 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 Rotating Angle theory.
| 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 Prestressed Concrete Plane Stress material object.
| nDMaterial PrestressedConcretePlaneStress matTag? rho? t1? s1? c1? c2? angle1? angle2? rou1? rou2? pstrain? fpc? fyT? fy2? E0? epsc0? |
This command is used to construct an Prestressed Concrete Plane Stress material object.
| nDMaterial RAFourSteelRCPlaneStress matTag? rho? UniaxiaMatTag1? UniaxiaMatTag2? UniaxiaMatTag3? UniaxiaMatTag4? 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 Fixed Angle theory.
| nMaterial FAPrestressConcretePlaneStress matTag? rho? t1? s2? c1? c2? 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.
| nMaterial FAFourSteelPCPlaneStress matTag? rho? t1? t2? s3? s4? c1? c2? angle1? angle2? angle3? angle4? rou1? rou2? rou3? rou4? pstrain1? pstrain2? fpc? fyT? fy? E0? epsc0? |
This command is used to construct a Prestressed Concrete Plane Stress material object based on Rotating Angle theory.
| nMaterial RAFourSteelPCPlaneStress 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. Zhongb, TTC. Hsu, "Seismic simulation of RC wall-type structures",Engineering Structures, 30(11), 3167-3175, 2008.
Mansour M, Hsu TTC, "Behavior of reinforced concrete elements under cyclic shear: Part 1 — experiments", J Struct Eng, ASCE, 131(1), 44–53, 2005.
Mansour M, Hsu TTC, "Behavior of reinforced concrete elements under cyclic shear: Part 2–theoretical model", J Struct Eng, ASCE, 131(1), 54–65, 2005.