Benchmark solutions ====================== Calculation method used for reference solutions ---------------------------------------------------------- Modeling A ~~~~~~~~~~~~~~~ The equation for non-linear behavior is known as well as the load while moving, the solution is calculated analytically. The law of behavior's response in effort is: .. csv-table:: "**INST**", "DX [mm]", "Force [N]" "1.000E-01", "1.1755705046E+00", "3.6359182479E+02" "1.500E-01", "1.6180339887E+00", "3.9812608291E+02" "2.000E-01", "1.9021130326E+00", "4.1019465908E+02" "2.500E-01", "2.0000000000E+00", "4.1334696516E+02" "3.000E-01", "1.9021130326E+00", "3.7419217820E+02" "3.500E-01", "1.6180339887E+00", "2.6056056066E+02" "4.000E-01", "1.1755705046E+00", "8.3575166995E+01" "4.500E-01", "6.1803398875E-01", "-1.3943943934E+02" "5.500E-01", "-6.1803398875E-01", "-4.2538927701E+02" "6.000E-01", "-1.1755705046E+00", "-4.3218671109E+02" "6.500E-01", "-1.6180339887E+00", "-4.3565267662E+02" "7.000E-01", "-1.9021130326E+00", "-4.3733359687E+02" "7.500E-01", "-2.0000000000E+00", "-4.3783890390E+02" "8.000E-01", "-1.9021130326E+00", "-3.9868411694E+02" "8.500E-01", "-1.6180339887E+00", "-2.8505249940E+02" "9.000E-01", "-1.1755705046E+00", "-1.0806710573E+02" "9.500E-01", "-6.1803398875E-01", "1.1494750060E+02", "-6.180339887575E-01", "-6.1803398875E-01" "1.050E+00", "6.1803398875E-01", "6.1803398875E-01", "4.3970639868E+02" "1.100E+00", "1.1755705046E+00", "4.4151193260E+02" "1.150E+00", "1.6180339887E+00", "4.4260216756E+02" "1.200E+00", "1.9021130326E+00", "4.4318572288E+02" "1.250E+00", "2.0000000000E+00", "4.4336937364E+02" "1.300E+00", "1.9021130326E+00", "4.0421458667E+02", "1.9021130326E+00" "1.350E+00", "1.6180339887E+00", "2.9058296914E+02" "1.400E+00", "1.1755705046E+00", "1.1359757547E+02" "1.450E+00", "6.1803398875E-01", "-1.0941703086E+02", "-1.0941703086E+02" The internal variables of the law of behavior are also calculated and will be tested. .. csv-table:: "", "Variable name", "" "V1"," FORCEX ", "Axial force in the local coordinate system" "V4"," DEPLX ", "Axial displacement in the local coordinate system" "V7"," DISSTHER ", "Dissipation" "V8"," PCUM ", "Cumulative anelastic displacement" "V9"," DEPLPX ", "Anelastic displacement" The internal variables of the law of behavior: .. csv-table:: "**INST**", "**V1**", "**V4**", "**V4**", "**V7**", "**V9**", "**V8**" "1.000E-01", "3.63592E+02", "1.17557E+00", "8.68431E+01", "2.66591E-01", "2.66591E-01", "2.66591E-01" "1.500E-01", "3.98126E+02", "1.61803E+00", "2.23467E+02", "6.22719E-01", "6.22719E-01", "6.22719E-01" "2.000E-01", "4.10195E+02", "1.90211E+00", "3.26206E+02", "8.76626E-01", "8.76626E-01", "8.76626E-01" "2.500E-01", "4.13347E+02", "2.00000E+00", "3.63271E+02", "9.66633E-01", "9.66633E-01", "9.66633E-01" "3.000E-01", "3.74192E+02", "1.90211E+00", "3.63271E+02", "9.66633E-01", "9.66633E-01", "9.66633E-01" "3.500E-01", "2.60561E+02", "1.61803E+00", "3.63271E+02", "9.66633E-01", "9.66633E-01", "9.66633E-01" "4.000E-01", "8.35752E+01", "1.17557E+00", "3.63271E+02", "9.66633E-01", "9.66633E-01", "9.66633E-01" "4.500E-01", "-1.39439E+02", "6.18034E-01", "3.63271E+02", "9.66633E-01", "9.66633E-01", "9.66633E-01" "5.500E-01", "-4.25389E+02", "-6.18034E-01", "5.82185E+02", "4.45439E-01", "4.45439E-01", "1.48783E+00" "6.000E-01", "-4.32187E+02", "-1.17557E+00", "8.14129E+02", "-9.51037E-02", "-9.51037E-02", "2.02837E+00" "6.500E-01", "-4.35653E+02", "-1.61803E+00", "1.00241E+03", "-5.28902E-01", "-5.28902E-01", "2.46217E+00" "7.000E-01", "-4.37334E+02", "-1.90211E+00", "1.12458E+03", "-8.08779E-01", "-8.08779E-01", "2.74204E+00" "7.500E-01", "-4.37839E+02", "-2.00000E+00", "1.16686E+03", "-9.05403E-01", "2.83867E+00", "2.83867E+00" "8.000E-01", "-3.98684E+02", "-1.90211E+00", "1.16686E+03", "-9.05403E-01", "-9.05403E-01", "2.83867E+00" "8.500E-01", "-2.85052E+02", "-1.61803E+00", "1.16686E+03", "-9.05403E-01", "-9.05403E-01", "2.83867E+00" "9.000E-01", "-1.08067E+02", "-1.17557E+00", "1.16686E+03", "-9.05403E-01", "-9.05403E-01", "2.83867E+00" "9.500E-01", "1.14948E+02", "-6.18034E-01", "1.16686E+03", "-9.05403E-01", "2.83867E+00", "2.83867E+00" "1.050E+00", "4.39706E+02", "6.18034E-01", "1.35299E+03", "-4.81232E-01", "3.26284E+00", "3.26284E+00" "1.100E+00", "4.41512E+02", "1.17557E+00", "1.59669E+03", "7.17907E-02", "3.81586E+00", "3.81586E+00" "1.150E+00", "4.42602E+02", "1.61803E+00", "1.79109E+03", "5.11529E-01", "4.25560E+00", "4.25560E+00" "1.200E+00", "4.43186E+02", "1.90211E+00", "1.91626E+03", "7.94149E-01", "4.53822E+00", "4.53822E+00" "1.250E+00", "4.43369E+02", "2.00000E+00", "2.00000E+00", "1.95945E+03", "8.91577E-01", "4.63565E+00" "1.300E+00", "4.04215E+02", "1.90211E+00", "1.95945E+03", "8.91577E-01", "4.63565E+00", "4.63565E+00" "1.350E+00", "2.90583E+02", "1.61803E+00", "1.95945E+03", "8.91577E-01", "4.63565E+00", "4.63565E+00" "1.400E+00", "1.13598E+02", "1.17557E+00", "1.95945E+03", "8.91577E-01", "8.91577E-01", "4.63565E+00" "1.450E+00", "-1.09417E+02", "6.18034E-01", "1.95945E+03", "8.91577E-01", "8.91577E-01", "4.63565E+00" B and C models ~~~~~~~~~~~~~~~~~~~~~ Non-regression test cases Uncertainty about the solution --------------------------- Modeling A ~~~~~~~~~~~~~~~ None, the reference solution is accurate. B and C models ~~~~~~~~~~~~~~~~~~~~~ Not applicable