A Simple Circular Cell Method for Multilevel Finite Element Analysis
A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of t...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/526846 |
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| Summary: | A simple multiscale analysis framework for heterogeneous solids based
on a computational homogenization technique is presented. The macroscopic strain
is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The
macroscopic stress is obtained from the energy principle between the macroscopic
scale and the microscopic scale. This new method is applied to several standard
examples to show its accuracy and consistency of the method proposed. |
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| ISSN: | 1110-757X 1687-0042 |