diff --git a/source/user/manual/material/uniaxialMaterial.rst b/source/user/manual/material/uniaxialMaterial.rst index d1332db6..db78b3fb 100644 --- a/source/user/manual/material/uniaxialMaterial.rst +++ b/source/user/manual/material/uniaxialMaterial.rst @@ -32,6 +32,7 @@ The following subsections contain information about **$matType** uniaxialMaterials/RambergOsgoodSteel uniaxialMaterials/SteelMPF uniaxialMaterials/UVCuniaxial + uniaxialMaterials/CFSTsteel uniaxialMaterials/SteelFractureDI uniaxialMaterials/DuctileFracture diff --git a/source/user/manual/material/uniaxialMaterials/CFSTsteel.rst b/source/user/manual/material/uniaxialMaterials/CFSTsteel.rst new file mode 100644 index 00000000..f2e90f93 --- /dev/null +++ b/source/user/manual/material/uniaxialMaterials/CFSTsteel.rst @@ -0,0 +1,149 @@ +.. _CFSTsteel: + +CFSTsteel Material +^^^^^^^^^^^^^^^^^^ + +This command constructs a uniaxial steel material for concrete-filled steel +tube (CFST) members and bare steel members, including hollow structural +sections (HSS) and H-sections. The constitutive formulation captures strain +softening induced by local buckling and the associated cyclic deterioration +of strength and stiffness. The material parameters should be calibrated for +the cross-sectional characteristics and confinement conditions. + +.. code-block:: text + + uniaxialMaterial CFSTsteel $matTag $E0 $fy + $b2 $sigma_cm $a $sigma_rm $b3 + $Lambda_t $Lambda_cp $Lambda_a + $Lambda_yp $Lambda_r + $c_t $c_cp $c_a $c_yp $c_r + $Qinf $b $N + $C1 $gamma1 ... $CN $gammaN + +.. csv-table:: + :header: "Argument", "Type", "Description (units)" + :widths: 22, 12, 66 + + "$matTag", "integer", "Unique material tag (-)." + "$E0", "float", "Young's modulus; positive (stress)." + "$fy", "float", "Initial yield stress; positive (stress)." + "$b2", "float", "Compressive strain-hardening ratio; positive (-)." + "$sigma_cm", "float", "Initial compressive capping stress; negative (stress)." + "$a", "float", "Post-buckling softening rate; positive (-)." + "$sigma_rm", "float", "Residual compressive stress; sigma_cm < sigma_rm < 0 (stress)." + "$b3", "float", "Post-buckling tensile reloading strength and stiffness parameter; positive (-)." + "$Lambda_t", "float", "Reference cumulative strain capacity for tensile strength (-)." + "$Lambda_cp", "float", "Reference cumulative strain capacity for compressive capping strength (-)." + "$Lambda_a", "float", "Reference cumulative strain capacity for post-buckling softening (-)." + "$Lambda_yp", "float", "Reference cumulative strain capacity for compressive strain hardening (-)." + "$Lambda_r", "float", "Reference cumulative strain capacity for residual strength (-)." + "$c_t", "float", "Cyclic deterioration exponent for tensile strength (-)." + "$c_cp", "float", "Cyclic deterioration exponent for compressive capping strength (-)." + "$c_a", "float", "Cyclic deterioration exponent for post-buckling softening (-)." + "$c_yp", "float", "Cyclic deterioration exponent for compressive strain hardening (-)." + "$c_r", "float", "Cyclic deterioration exponent for residual strength (-)." + "$Qinf", "float", "Isotropic hardening saturation magnitude; nonnegative (stress)." + "$b", "float", "Isotropic hardening saturation rate; nonnegative (-)." + "$N", "integer", "Number of backstresses; 0 to 8 (-)." + "$Ck", "float", "Kinematic hardening modulus for backstress k; nonnegative (stress)." + "$gammak", "float", "Kinematic hardening saturation rate for backstress k; positive (-)." + +.. note:: + + Tension is positive and compression is negative. Use consistent stress + units and dimensionless strains; (-) denotes a dimensionless parameter. + All ``Lambda`` and ``c`` parameters must be positive. Supply all scalar + arguments in the stated order in one command, followed by exactly ``N`` + pairs of ``Ck gammak``; omit the pairs when ``N = 0``. No defaults are + inserted automatically. + +Model behavior +"""""""""""""" + +.. figure:: figures/CFSTsteel/CFSTsteel_paper_fig06B.png + :align: center + :width: 400px + :alt: Effective compressive stress-strain backbone with local-buckling softening. + + Compressive backbone (Wang et al., 2024, Fig. 6B). + +.. figure:: figures/CFSTsteel/CFSTsteel_paper_fig07B.png + :align: center + :width: 400px + :alt: Cyclic deterioration of the compressive backbone. + + Compressive backbone deterioration (Wang et al., 2024, Fig. 7B). + +.. figure:: figures/CFSTsteel/CFSTsteel_paper_fig07C.png + :align: center + :width: 400px + :alt: Cyclic strength and stiffness changes across successive excursions. + + Cyclic strength and stiffness deterioration (Wang et al., 2024, Fig. 7C). + +Cyclic response +""""""""""""""" + +The moving points show the imposed strain and corresponding stress at the +same loading step. The animation uses the original example parameters below. + +.. figure:: figures/CFSTsteel/CFSTsteel_symmetric.gif + :align: center + :width: 100% + :alt: Animated symmetric strain cycles with increasing amplitudes and the computed CFSTsteel stress-strain trajectory. + + Symmetric strain cycles with increasing amplitudes. + +Example +""""""" + +The original example parameters use MPa. Select parameters for the member being modeled. + +.. tabs:: + + .. code-tab:: tcl + + set matArgs { + 206000.0 305.0 + 0.02 -342.07 26.58 -74.87 3.16 + 4.07 6.38 3.12 2.36 5.82 + 1.0 1.0 1.0 1.0 1.0 + 116.39 11.81 1 4467.68 38.39 + } + uniaxialMaterial CFSTsteel 1 {*}$matArgs + + .. code-tab:: python + + import openseespy.opensees as ops + + ops.uniaxialMaterial( + 'CFSTsteel', 1, + 206000.0, 305.0, + 0.02, -342.07, 26.58, -74.87, 3.16, + 4.07, 6.38, 3.12, 2.36, 5.82, + 1.0, 1.0, 1.0, 1.0, 1.0, + 116.39, 11.81, + 1, 4467.68, 38.39, + ) + +References +"""""""""" + +Wang, S., Wang, W., and Lignos, D. G. (2024). "Uniaxial material model with +softening for simulating the cyclic behavior of steel tubes in concrete-filled +steel tube beam-columns." *Earthquake Engineering & Structural Dynamics*, +53(13), 4032-4053. https://doi.org/10.1002/eqe.4204. + +Hartloper, A. R., de Castro e Sousa, A., and Lignos, D. G. (2021). +"Constitutive modeling of structural steels: nonlinear isotropic/kinematic +hardening material model and its calibration." *Journal of Structural +Engineering*, 147(4), 04021031. +https://doi.org/10.1061/(ASCE)ST.1943-541X.0002964. + +.. Image attribution retained in the documentation source: + Model diagrams reproduced from Wang et al. (2024), Figs. 6B, 7B and 7C. + Copyright 2024 The Authors; published by John Wiley & Sons Ltd. + Creative Commons Attribution-NonCommercial 4.0: + https://creativecommons.org/licenses/by-nc/4.0/ + +Code developed by **Shiye Wang**, National University of Singapore (NUS). diff --git a/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_cyclic.py b/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_cyclic.py new file mode 100644 index 00000000..7da9e006 --- /dev/null +++ b/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_cyclic.py @@ -0,0 +1,32 @@ +import csv +from pathlib import Path + +try: + import opensees as ops +except ModuleNotFoundError: + import openseespy.opensees as ops + +def run(output='CFSTsteel_cyclic_python.csv'): + ops.wipe() + + ops.uniaxialMaterial('CFSTsteel', 1, + 206000.0, 305.0, 0.02, -342.07, 26.58, -74.87, 3.16, + 4.07, 6.38, 3.12, 2.36, 5.82, 1.0, 1.0, 1.0, 1.0, 1.0, + 116.39, 11.81, 1, 4467.68, 38.39) + ops.testUniaxialMaterial(1) + last = 0.0 + with Path(output).open('w', newline='', encoding='utf-8') as stream: + writer = csv.writer(stream) + writer.writerow(['strain', 'stress_MPa', 'tangent_MPa']) + for peak in (0.0002, -0.0002, 0.003, -0.004, 0.01, -0.02, + 0.015, -0.03, 0.02, -0.04, 0.01, 0.0): + for j in range(1, 101): + strain = last + (peak-last)*j/100.0 + ops.setStrain(strain) + writer.writerow([strain, ops.getStress(), ops.getTangent()]) + last = peak + ops.wipe() + return Path(output) + +if __name__ == '__main__': + print(run()) diff --git a/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_cyclic.tcl b/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_cyclic.tcl new file mode 100644 index 00000000..d6954c1f --- /dev/null +++ b/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_cyclic.tcl @@ -0,0 +1,36 @@ +wipe +if {[llength [info commands testUniaxialMaterial]]} { + model BasicBuilder -ndm 1 -ndf 1 +} else { + model testUniaxial +} +uniaxialMaterial CFSTsteel 1 \ + 206000.0 305.0 0.02 -342.07 26.58 -74.87 3.16 \ + 4.07 6.38 3.12 2.36 5.82 1.0 1.0 1.0 1.0 1.0 \ + 116.39 11.81 1 4467.68 38.39 + +if {[llength [info commands testUniaxialMaterial]]} { + testUniaxialMaterial 1 + proc applyStrain {value} { setStrain $value } + proc readStress {} { return [getStress] } + proc readTangent {} { return [getTangent] } +} else { + uniaxialTest 1 + proc applyStrain {value} { strainUniaxialTest $value } + proc readStress {} { return [stressUniaxialTest] } + proc readTangent {} { return [tangUniaxialTest] } +} +set output [open CFSTsteel_cyclic_tcl.csv w] +puts $output "strain,stress_MPa,tangent_MPa" +set last 0.0 +foreach peak {0.0002 -0.0002 0.003 -0.004 0.01 -0.02 0.015 -0.03 0.02 -0.04 0.01 0.0} { + for {set j 1} {$j <= 100} {incr j} { + set strain [expr {$last + ($peak-$last)*$j/100.0}] + applyStrain $strain + puts $output [format "%.17g,%.17g,%.17g" $strain [readStress] [readTangent]] + } + set last $peak +} +close $output +puts "Wrote CFSTsteel_cyclic_tcl.csv (1200 strain steps)" +wipe diff --git a/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_response.csv b/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_response.csv new file mode 100644 index 00000000..a36d1fd9 --- /dev/null +++ b/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_response.csv @@ -0,0 +1,1201 @@ +step,strain,stress_MPa,tangent_MPa +1,1.9999999999999999e-06,0.41199999999999998,206000 +2,3.9999999999999998e-06,0.82399999999999995,206000 +3,6.0000000000000002e-06,1.236,206000 +4,7.9999999999999996e-06,1.6479999999999999,206000 +5,1.0000000000000001e-05,2.0600000000000001,206000 +6,1.2e-05,2.472,206000 +7,1.4e-05,2.8839999999999999,206000 +8,1.5999999999999999e-05,3.2959999999999998,206000 +9,1.8e-05,3.7080000000000002,206000 +10,2.0000000000000002e-05,4.1200000000000001,206000 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a/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_symmetric.py b/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_symmetric.py new file mode 100644 index 00000000..063281af --- /dev/null +++ b/source/user/manual/material/uniaxialMaterials/examples/CFSTsteel/CFSTsteel_symmetric.py @@ -0,0 +1,45 @@ +import csv +from pathlib import Path + +INCREMENTS_PER_LEG = 120 +MATERIAL_ARGS = ( + 206000.0, 305.0, 0.02, -342.07, 26.58, -74.87, 3.16, + 4.07, 6.38, 3.12, 2.36, 5.82, 1.0, 1.0, 1.0, 1.0, 1.0, + 116.39, 11.81, 1, 4467.68, 38.39, +) + +def peaks(): + result = [] + for amplitude in (0.002, 0.005, 0.01, 0.015, 0.02, 0.03, 0.04, 0.05): + result.extend((amplitude, -amplitude)) + return result + [0.0] + +def strain_history(): + yield 0.0 + previous = 0.0 + for peak in peaks(): + for j in range(1, INCREMENTS_PER_LEG + 1): + yield previous + (peak - previous) * j / INCREMENTS_PER_LEG + previous = peak + +def run(output='CFSTsteel_symmetric.csv'): + try: + import opensees as ops + except ModuleNotFoundError: + import openseespy.opensees as ops + ops.wipe() + try: + ops.uniaxialMaterial('CFSTsteel', 1, *MATERIAL_ARGS) + ops.testUniaxialMaterial(1) + with Path(output).open('w', newline='', encoding='utf-8') as stream: + writer = csv.writer(stream) + writer.writerow(['step', 'strain', 'stress_MPa', 'tangent_MPa']) + for step, strain in enumerate(strain_history()): + ops.setStrain(strain) + writer.writerow([step, strain, ops.getStress(), ops.getTangent()]) + finally: + ops.wipe() + return Path(output) + +if __name__ == '__main__': + print(run()) diff --git a/source/user/manual/material/uniaxialMaterials/figures/CFSTsteel/CFSTsteel_paper_fig06B.png b/source/user/manual/material/uniaxialMaterials/figures/CFSTsteel/CFSTsteel_paper_fig06B.png new file mode 100644 index 00000000..ebe1bc37 Binary files /dev/null and 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b/source/user/manual/material/uniaxialMaterials/figures/CFSTsteel/CFSTsteel_symmetric.gif new file mode 100644 index 00000000..a2d40b6f Binary files /dev/null and b/source/user/manual/material/uniaxialMaterials/figures/CFSTsteel/CFSTsteel_symmetric.gif differ