Concrete damaged plasticity

Elements tested

C3D8R

CPE4R

CPS4R

T3D2

Elasticity

Young's modulus, E = 2.648E+10

Poisson's ratio, $ν$ = 0.167

Plasticity

Dilation angle $ϕ$ = 15.0

Flow potential eccentricity $ϵ$ = 0.1

Biaxial/uniaxial compression plastic strain ratio $σ_{b 0} / σ_{c 0}$ = 1.16

Invariant stress ratio $K_{c}$ = 0.6667

Viscosity $μ$ = 0.0

Compression behavior:


Stress	Inelastic strain	Damage	Inelastic strain
24.019E+6	0.0000	0.0000	0.0000
29.208E+6	0.0004	0.1299	0.0004
31.709E+6	0.0008	0.2429	0.0008
32.358E+6	0.0012	0.3412	0.0012
31.768E+6	0.0016	0.4267	0.0016
30.379E+6	0.0020	0.5012	0.0020
28.507E+6	0.0024	0.5660	0.0024
21.907E+6	0.0036	0.7140	0.0036
14.897E+6	0.0050	0.8243	0.0050
2.953E+6	0.0100	0.9691	0.0100

Tension recovery factor $w_{t}$ = 0.0.

Tension behavior:


Stress	Cracking strain	Damage	Cracking strain
1.780E+6	0.0000	0.0000	0.0000
1.457E+6	0.0001	0.3000	0.0001
1.113E+6	0.0003	0.5500	0.0003
0.960E+6	0.0004	0.7000	0.0004
0.800E+6	0.0005	0.8000	0.0005
0.536E+6	0.0008	0.9000	0.0008
0.359E+6	0.0010	0.9300	0.0010
0.161E+6	0.0020	0.9500	0.0020
0.073E+6	0.0030	0.9700	0.0030
0.040E+6	0.0050	0.9900	0.0050

Compression recovery factor $w_{c}$ = 1.0.

Other properties

Density = 2400.0

(The units are not important.)

The results agree well with exact analytical or approximate solutions.

cdpse_c3d8r.inp: Uniaxial cyclic test, C3D8R elements, TYPE=STRAIN.
cdpse_cpe4r.inp: Uniaxial cyclic test, CPE4R elements, TYPE=STRAIN.
cdpse_cps4r.inp: Uniaxial cyclic test, CPS4R elements, TYPE=STRAIN.
cdpse_t3d2.inp: Uniaxial cyclic test, T3D2 elements, TYPE=STRAIN.
cdpsu_c3d8r.inp: Uniaxial cyclic test, C3D8R elements, TYPE=DISPLACEMENT.
cdpsu_cpe4r.inp: Uniaxial cyclic test, CPE4R elements, TYPE=DISPLACEMENT.
cdpsu_cps4r.inp: Uniaxial cyclic test, CPS4R elements, TYPE=DISPLACEMENT.
cdpsu_t3d2.inp: Uniaxial cyclic test, T3D2 elements, TYPE=DISPLACEMENT.
cdpseo_c3d8r.inp: Uniaxial cyclic test, C3D8R elements, TYPE=STRAIN, with ORIENTATION and linear perturbation step.
cdpseo_cpe4r.inp: Uniaxial cyclic test, CPE4R elements, TYPE=STRAIN, with ORIENTATION and linear perturbation step.
cdpseo_cps4r.inp: Uniaxial cyclic test, CPS4R elements, TYPE=STRAIN, with ORIENTATION and linear perturbation step.
cdpseb_c3d8r.inp: Biaxial cyclic test, C3D8R elements, TYPE=STRAIN.
cdpseb_cpe4r.inp: Biaxial cyclic test, CPE4R elements, TYPE=STRAIN.
cdpseb_cps4r.inp: Biaxial cyclic test, CPS4R elements, TYPE=STRAIN.
cdpses_c3d8r.inp: Shear cyclic test, C3D8R elements, TYPE=STRAIN.
cdpses_cpe4r.inp: Shear cyclic test, CPE4R elements, TYPE=STRAIN.
cdpses_cps4r.inp: Shear cyclic test, CPS4R elements, TYPE=STRAIN.

cdpxe_c3d8r.inp: Uniaxial cyclic test, C3D8R elements, TYPE=STRAIN.
cdpxe_cpe4r.inp: Uniaxial cyclic test, CPE4R elements, TYPE=STRAIN.
cdpxe_cps4r.inp: Uniaxial cyclic test, CPS4R elements, TYPE=STRAIN.
cdpxe_t3d2.inp: Uniaxial cyclic test, T3D2 elements, TYPE=STRAIN.
cdpxu_c3d8r.inp: Uniaxial cyclic test, C3D8R elements, TYPE=DISPLACEMENT.
cdpxu_cpe4r.inp: Uniaxial cyclic test, CPE4R elements, TYPE=DISPLACEMENT.
cdpxu_cps4r.inp: Uniaxial cyclic test, CPS4R elements, TYPE=DISPLACEMENT.
cdpxu_t3d2.inp: Uniaxial cyclic test, T3D2 elements, TYPE=DISPLACEMENT.
cdpxeo_c3d8r.inp: Uniaxial cyclic test, C3D8R elements, TYPE=STRAIN, with ORIENTATION.
cdpxeo_cpe4r.inp: Uniaxial cyclic test, CPE4R elements, TYPE=STRAIN, with ORIENTATION.
cdpxeo_cps4r.inp: Uniaxial cyclic test, CPS4R elements, TYPE=STRAIN, with ORIENTATION.
cdpxeb_c3d8r.inp: Biaxial cyclic test, C3D8R elements, TYPE=STRAIN.
cdpxeb_cpe4r.inp: Biaxial cyclic test, CPE4R elements, TYPE=STRAIN.
cdpxeb_cps4r.inp: Biaxial cyclic test, CPS4R elements, TYPE=STRAIN.
cdpxes_c3d8r.inp: Shear cyclic test, C3D8R elements, TYPE=STRAIN.
cdpxes_cpe4r.inp: Shear cyclic test, CPE4R elements, TYPE=STRAIN.
cdpxes_cps4r.inp: Shear cyclic test, CPS4R elements, TYPE=STRAIN.

cdp_c3d8r_ss_s1.inp: Abaqus/Standard base analysis.
cdp_c3d8r_ss_s2.inp: Abaqus/Standard import analysis from cdp_c3d8r_ss_s1.inp.
cdp_c3d8r_sx_s.inp: Abaqus/Standard base analysis.
cdp_c3d8r_sx_x.inp: Abaqus/Explicit import analysis from cdp_c3d8r_sx_s.inp.
cdp_c3d8r_xs_s.inp: Abaqus/Standard import analysis from cdp_c3d8r_sx_x.inp.
cdpeo_cpe4r_sx_s.inp: Abaqus/Standard base analysis.
cdpeo_cpe4r_sx_x.inp: Abaqus/Explicit import analysis from cdpeo_cpe4r_sx_s.inp.
cdpeo_cpe4r_xs_s.inp: Abaqus/Standard import analysis from cdpeo_cpe4r_sx_x.inp.
cdps_c3d8r_sx_s.inp: Abaqus/Standard base analysis.
cdps_c3d8r_sx_x.inp: Abaqus/Explicit import analysis from cdps_c3d8r_sx_s.inp.
cdps_c3d8r_xs_s.inp: Abaqus/Standard import analysis from cdps_c3d8r_sx_x.inp.
cdpb_c3d8r_sx_s.inp: Abaqus/Standard base analysis.
cdpb_c3d8r_sx_x.inp: Abaqus/Explicit import analysis from cdpb_c3d8r_sx_s.inp.
cdpb_c3d8r_xs_s.inp: Abaqus/Standard import analysis from cdpb_c3d8r_sx_x.inp.
cdpu_cps4r_sx_s.inp: Abaqus/Standard base analysis.
cdpu_cps4r_sx_x.inp: Abaqus/Explicit import analysis from cdpu_cps4r_sx_s.inp.
cdpu_cps4r_xs_s.inp: Abaqus/Standard import analysis from cdpu_cps4r_sx_x.inp.
cdpe_t3d2_sx_s.inp: Abaqus/Standard base analysis.
cdpe_t3d2_sx_x.inp: Abaqus/Explicit import analysis from cdpe_t3d2_sx_s.inp.
cdpe_t3d2_xs_s.inp: Abaqus/Standard import analysis from cdpe_t3d2_sx_x.inp.