Plastic tension of porous plates due pure bending

Combined Plastic Bending and Compression or Tension

So far we have assumed that a plastic hinge forms if the bending moment in a critical cross section reaches the plastic limit value, M0. We have tacitly neglected the effect of the other internal forces on the formation of the yield hinge. This effect, however, can be appreciable, for example in multi-storey frames or frames with a large horizontal thrust where the axial forces are large. So, w...

A refined inverse hyperbolic shear deformation theory for bending analysis of functionally graded porous plates

The modern engineering structures require the advanced engineering materials to resist the high temperatures and to provide high stiffness. In particular the functionally graded porous materials (FGPMs) introduced are expected to have these desired properties, consequently eliminating local stress concentration and de-lamination. In the present paper, a new shear strains shape function is chose...

On Bending of Elastic Plates*

On the analysis of pure bending of rigid-plastic beams in strain-gradient plasticity

The complete stress field, including the microstress, the moment-stress, and the line forces are derived for the pure bending of a rigid-plastic beam of rectangular cross-section in the model of strain-gradient plasticity. The workless spherical parts of the microstress and the moment-stress tensors are incorporated in the analysis. Their determination is shown to be of importance for the fulfi...

An Investigation of the Brazier Effect of a Cylindrical Tube under Pure Elastic-Plastic Bending

The Brazier effect of originally straight cylindrical tubes under pure elastic-plastic bending is investigated by the deformation theory based on some deformation assumptions agreeing with numerous experiments. The expressions for bending moment and flattening ratio in terms of curvature are finally obtained