3. Internal variables of the model#

Here are the internal variables stored at each Gauss point in the model implementation

Meaning of internal variables

Number

Symbol

Name

Scalar variables

Armature No. 1

Axial deformation

115

ERT1

\({\epsilon }^{r}\)

Plastic deformation

116

ERP1

\({\epsilon }^{r,\mathit{pl}}\)

Axial stress

117

SNR1

\({\sigma }_{0}^{r}\)

Maxwell deformation

118

ERM1

\({\epsilon }^{r,M}\)

Maximum load rate

119

MUR1

\({\mu }^{\mathit{MAX}}\)

Kelvin deformity

120

EKR1

\({\epsilon }^{r,K}\)

Residual prestress

121

SPR1

\({\sigma }_{\mathit{res}}^{r}\)

Armature no. 2

Axial deformation

122

ERT2

\({\epsilon }^{r}\)

Plastic deformation

123

ERP2

\({\epsilon }^{r,\mathit{pl}}\)

Axial stress

124

SNR2

\({\sigma }_{0}^{r}\)

Maxwell deformation

125

ERM2

\({\epsilon }^{r,M}\)

Maximum load rate

126

MUR2

\({\mu }^{\mathit{MAX}}\)

Kelvin deformity

127

EKR2

\({\epsilon }^{r,K}\)

Residual prestress

128

SPR2

\({\sigma }_{\mathit{res}}^{r}\)

Armature no. 3

Axial deformation

129

ERT3

\({\epsilon }^{r}\)

Plastic deformation

130

ERP3

\({\epsilon }^{r,\mathit{pl}}\)

Axial stress

131

SNR3

\({\sigma }_{0}^{r}\)

Maxwell deformation

132

ERM3

\({\epsilon }^{r,M}\)

Maximum load rate

133

MUR3

\({\mu }^{\mathit{MAX}}\)

Kelvin deformity

134

EKR3

\({\epsilon }^{r,K}\)

Residual prestress

135

SPR3

\({\sigma }_{\mathit{res}}^{r}\)

Armature No. 4

Axial deformation

136

ERT4

\({\epsilon }^{r}\)

Plastic deformation

137

ERP4

\({\epsilon }^{r,\mathit{pl}}\)

Axial stress

138

SNR4

\({\sigma }_{0}^{r}\)

Maxwell deformation

139

ERM4

\({\epsilon }^{r,M}\)

Maximum load rate

140

MUR4

\({\mu }^{\mathit{MAX}}\)

Kelvin deformity

141

EKR4

\({\epsilon }^{r,K}\)

Residual prestress

142

SPR4

\({\sigma }_{\mathit{res}}^{r}\)

Armature No. 5

Axial deformation

143

ERT5

\({\epsilon }^{r}\)

Plastic deformation

144

ERP5

\({\epsilon }^{r,\mathit{pl}}\)

Axial stress

145

SNR5

\({\sigma }_{0}^{r}\)

Maxwell deformation

146

ERM5

\({\epsilon }^{r,M}\)

Maximum load rate

147

MUR5

\({\mu }^{\mathit{MAX}}\)

Kelvin deformity

148

EKR5

\({\epsilon }^{r,K}\)

Residual prestress

149

SPR5

\({\sigma }_{\mathit{res}}^{r}\)

Stresses in concrete alone

Direction 11 (global coordinate system)

150

SBE1

\({\sigma }_{11}^{\mathit{be}}\)

Direction 22 (global coordinate system)

151

SBE2

\({\sigma }_{22}^{\mathit{be}}\)

Direction 33 (global coordinate system)

152

SBE3

\({\sigma }_{33}^{\mathit{be}}\)

Direction 12 (global coordinate system)

153

SBE4

\({\sigma }_{12}^{\mathit{be}}\)

Direction 13 (global coordinate system)

154

SBE5

\({\sigma }_{13}^{\mathit{be}}\)

Direction 23 (global coordinate system)

155

SBE6

\({\sigma }_{23}^{\mathit{be}}\)

Main constraints of concrete alone

Major main constraint

156

SPM1

\({\sigma }_{I}\)

Secondary main stress

157

SPM2

\({\sigma }_{\mathit{II}}\)

Minor main constraint

158

SPM3

\({\sigma }_{\mathit{III}}\)