Embedded unit cell homogenization model for localized non-periodic elasto-plastic zones. (English) Zbl 1494.74062
The authors discuss a numerical method for cost-effective evaluation of the non-linear mechanical response of a structure with inhomogeneous microstructure. The formulation consists of a theoretical derivation and the development of special boundary conditions representing the variations of the local displacement field across the unit cell boundaries. A standard FEM is used away from the localization zones to obtain a mechanical response without the need for mesh refinement. Regions that consist of a geometrical or material inhomogeneity are considered separately in a concurrent multi-scale procedure.
Reviewer: Vladimir Mityushev (Kraków)
MSC:
| 74Q05 | Homogenization in equilibrium problems of solid mechanics |
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74S05 | Finite element methods applied to problems in solid mechanics |
Keywords:
multiscale homogenization method; transition layer; localization zone; plastic yielding; fnite element methodSoftware:
HYPLASReferences:
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