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An elasto-plastic stress analysis in a thermoplastic composite beam of arbitrary orientation subjected to transverse uniformly distributed load

Esendemir U.

International Journal of Applied Mechanics and Engineering

2001

Vol. 6, no 2

325-344

Beam is a structural element loaded transversely in general conditions. This loading causes shear forces and bending moments. In this study, an elasto-plastic stress analysis is carried out in a low density polyethylene thermoplastic composite beam reinforced by woven steel fibers subjected to a uniformly distributed load in transverse direction. In the elasto-plastic solution, the material is assumed to be perfectly plastic. The expansion of the plastic region and the residual stress component of 'sigma'x are determined for 0°, 15°, 30°, and 45° orientation angles. Yielding begins for 0° and 45° orientation angles at the upper and lower surfaces of the beam at the same distances from the free end. It starts though first at the upper surface for 15° and 30° orientation angles. The intensity of the residual stress component of 'tau'xy is maximum on or around the x axis of the beam, but the residual stress component of 'sigma'x is maximum at the upper and lower surfaces.

Calculation of residual stresses in thermoplastic matrix composite laminated plates under in-plane loading

Aykul H., Ozcan R.

Applied Mechanics and Engineering

2000

Vol. 5, no 3

613-628

Residual stress analysis is carried out in a thermoplastic composite laminated plate for in-plane loading. Low density polyethylene thermoplastic matrix (LDPE) and steel fibers are used to produce the composite plates by using moulds. The first order shear deformation theory and nine node Lagrangian finite element are used. Mathematical formulation is given for the residual stress analysis of a laminated plate for small deformations. Yield points and stresses are obtained for symmetric and antisymmetric laminated plates without and with a circular hole. Elastic, elasto-plastic and residual stresses in plates are given in tables. The expansion of plastic zones is illustrated for 100, 200 and 300 load steps. Yield points and the expansion of plastic zones are compared for different plates without and with a circular hole.

Calculation of residual stresses in metal-matrix composite laminated plates under transverse loads

Aykul H., Meric C., Akbulut H.

Applied Mechanics and Engineering

1999

Vol. 4, no 1

171-185

An isoparametric quadrilateral element with nine nodes is developed for the elasto-plastic analysis of the laminated plates. A stainless steel fiber reinforced aluminum metal matrix laminated and simple supported plate is loaded transversely. Elastic, elasto-plastic and residual stresses are calculated in the symmetric and/or antisymmetric cross-ply and angle-ply laminated plates for small deformations. Iteration numbers are chosen 50, 100 and 150. The spread of plastic zones is illustrated. A metal-matrix composite layer is manufactured by using moulds under the action of 30 MPa pressure and heating up to 600oC. The first-order shear deformation theory is used.