Numerical study on finite element implementation of hypoplastic models
| Autor: | Wenxiong Huang, Daichao Sheng, Yutang Ding, Scott W. Sloan |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Mathematical optimization
Operator (computer programming) Robustness (computer science) Constitutive equation Explicit and implicit methods Tangent Boundary value problem Geotechnical Engineering and Engineering Geology Error detection and correction Finite element method Computer Science Applications Mathematics |
| Zdroj: | Computers and Geotechnics. 68:78-90 |
| ISSN: | 0266-352X |
| DOI: | 10.1016/j.compgeo.2015.04.003 |
| Popis: | A comprehensive numerical study on finite element implementation of hypoplastic models is presented. Two crucial aspects, local integration of the constitutive equations (the local problem) and forming tangent operators for Newton–Raphson iteration (the global problem), are investigated. For solving the local problem, different integration algorithms, including explicit and implicit methods, are examined using tri-axial compression tests and incremental stress response envelopes, as well as typical boundary value problems. For solving global problems, three different ways of generating the tangent operator are compared. The numerical evidences indicate that, in terms of accuracy, efficiency and robustness, explicit methods with substepping and error control are the best choices for constitutive integration of hypoplastic models while the so-called continuum tangent operators have certain advantages over two other types of numerically-generated consistent tangent operators. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect