Elastic and Plastic Thin Strip Deformations under their Compression between Plane Rigid Stamps

The paper discusses the results of the research into the plasticity theory of thin strip deformations. It presents a solution to the two-dimensional elasto-plastic problem of compressing a thin strip between the plane rigid stamps. The load is estimated which causes plastic deformations within a rigid thin strip. The forms of plastic areas and their dimensions were delineated. Their dependence on an external load is determined. If the Poisson’s ratio is v = 0.5, the lines parallel to the stamp plains prove to be the boundary lines between the elastic and plastic areas. When a thin plane becomes completely plastic, the formulae of the classical Prandtl’s equation for compression of a thin fully plastic strip are derived as a particular solution to the two-dimensional elasto-plastic problem.

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