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Structural Engineering and Mechanics Volume 4, Number 6, November 1996 , pages 613-630 DOI: https://doi.org/10.12989/sem.1996.4.6.613 |
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Use of homogenization theory to build a beam element with thermo-mechanical microscale properties |
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Schrefler BA, Lefik M
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| Abstract | ||
| The homogenization method is used to develop a beam element in space for thermo-mechanical analysis of unidirectional composites. Local stress and temperature held In the microscale are described using the function of homogenization. The global (macroscopic) behaviour of the structure is supposed to be that of a beam. Beam-type kinematical hypotheses (including independent shear rotations) are hence applied and superposed on the microdescription. A macroscopic stiffness matrix for such a beam element is then developed which contains the microscale properties of the single cell of periodicity. The presented model enables us to analyse without too much computational effort complicated composite structures such as e.g toroidal coils of a fusion reactor. We need only a FE mesh sufficiently fine for a correct description of the local geometry of a single cell and a few of the newly developed elements for the description of the global behaviour. An unsmearing procedure gives the stress and temperature held in the different materials of a single cell. | ||
| Key Words | ||
| composite materials, beams, homogenization, finite element method, superconducting magnets | ||
| Address | ||
| Schrefler BA, UNIV PADUA,INST SCI & TECN COSTRUZ,VIA MARZOLO 9,I-35131 PADUA,ITALY TECH UNIV LODZ,DEPT MECH MAT,PL-93590 LODZ,POLAND | ||