6533b7ddfe1ef96bd1273eee
RESEARCH PRODUCT
Reliable computation and local mesh adaptivity in limit analysis
Sergey RepinJ. HaslingerStanislav Sysalasubject
elementtimenetelmäpenalizationLimit analysisComputer scienceComputationvon Mises yield criterionlocal mesh adaptivitylimit analysisNewton-like methodComputational sciencedescription
The contribution is devoted to computations of the limit load for a perfectly plastic model with the von Mises yield criterion. The limit factor of a prescribed load is defined by a specific variational problem, the so-called limit analysis problem. This problem is solved in terms of deformation fields by a penalization, the finite element and the semismooth Newton methods. From the numerical solution, we derive a guaranteed upper bound of the limit factor. To achieve more accurate results, a local mesh adaptivity is used. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-04-20 | Programs and Algorithms of Numerical Mathematics 19 |