Dual finite element analysis for plasticity-friction torsion of composite bar. (English) Zbl 0822.73074

The quasi-static problem of torsion of an elastic-plastic, prismatic, composite bar is considered. The phenomenon of slip on the interfaces between the components of the bar is taken into account. The elastic- plastic behaviour of the material is described by the Prandtl-Reuss constitutive relation. The slip on the interface is governed by the Coulomb friction law – it is assumed that there is no cohesion between components of the bar. The stresses normal to the interfaces are considered to be caused by shrinkage of the matrix of the bar or by external forces acting perpendicularly to its longitudinal axis. The problem is set in the dual variational forms and solved with the help of the finite element method.


74S05 Finite element methods applied to problems in solid mechanics
74E30 Composite and mixture properties
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74C99 Plastic materials, materials of stress-rate and internal-variable type
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