A path-following method for elasto-plastic solids and structures based on control of plastic dissipation and plastic work
| Autor: | Boštjan Brank, Andjelka Stanić |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Computer science
business.industry Applied Mathematics Computation Path following General Engineering Elasto plastic 02 engineering and technology Mechanics Structural engineering 01 natural sciences Computer Graphics and Computer-Aided Design Finite element method Plastic dissipation 010101 applied mathematics Constraint algorithm Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Hardening (metallurgy) 0101 mathematics business Analysis |
| Zdroj: | Finite Elements in Analysis and Design. 123:1-8 |
| ISSN: | 0168-874X |
| Popis: | A path-following method that is based on controlling plastic dissipation or plastic work in an inelastic solid or structure is presented. It can be effective for highly nonlinear materially and geometrically problems. In particular, it can be applied for elasto-plastic problems where the standard arc-length methods fail, or to avoid artificial and undesirable elastic unloading of a complete solid or structure during the computation. The essential ingredients, the plastic dissipation and the plastic work based constraint equations, are derived by using either explicit or implicit pseudo-time step integration. These constraint equations are valid for geometrically nonlinear small strain elasto-plasticity with hardening. Their implementation in the framework of the path-following method is described. Several numerical examples are presented in order to illustrate very satisfying performance of the derived path-following method. It performed very well for some challenging shell problems. |
| Databáze: | OpenAIRE |
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