Research Article
A Return Mapping Algorithm for Nonlinear Yield Criteria with the Equivalent Mohr–Coulomb Strength Parameters
Table 1
The values of the updated stress obtained by the proposed method and Clausen’s method and the relative errors (associated case).
| | | The predictor stress | The proposed method | Clausen’s method | Relative error (%) | | Updated stress |
| | Point A | 1149504.4 | 1149049.5 | 1149049.5 | 0 | | 50000 | 50385.3 | 50385.3 | 0 | | 20000 | 22381.2 | 22381.2 | 0 | | 1179504.4 | 1178556.1 | 1178556.1 | 0 | | 70000 | 70781.4 | 70781.4 | 0 | | 30000 | 34855.3 | 34855.3 | 0 |
| | Point B | 1149504.4 | 1150206.1 | 1150206.1 | 0 | | 1139504.4 | 1150206.1 | 1150206.1 | 0 | | 20000 | 22868.1 | 22868.1 | 0 | | 1179504.4 | 1180902.6 | 1180902.6 | 0 | | 1159504.4 | 1180902.6 | 1180902.6 | 0 | | 30000 | 35851.9 | 35851.9 | 0 |
| | Point C | 1149504.4 | 1159399.7 | 1159399.7 | 0 | | 30000 | 26744.5 | 26744.5 | 0 | | 20000 | 26744.5 | 26744.5 | 0 | | 1179504.4 | 1199245.2 | 1199245.2 | 0 | | 50000 | 43665.7 | 43665.7 | 0 | | 30000 | 43665.7 | 43665.7 | 0 |
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