3-D finite element analysis of composite beams with parallel fibres, based on homogenization theory. (English) Zbl 0802.73074
Summary: The theoretical model of a beam of unidirectional composites, based on the homogenization theory and a refined kinematical hypothesis is presented. Effective material coefficients for the constitutive equation are computed. Description of the stresses on the level of the periodic microstructure is given. The kinematical hypothesis for the beam type behaviour includes the independent shear rotations. The resulting modelling strategy is presented for which a finite element code has been developed. Application of the theory to superconducting coils is shown.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74E30 | Composite and mixture properties |
| 74E05 | Inhomogeneity in solid mechanics |
Keywords:
refined kinematical hypothesis; constitutive equation; stresses; periodic microstructure; shear rotations; superconducting coilsReferences:
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