Elastic and Plastic Thin Strip Deformations under their Compression between Plane Rigid Stamps
Authors: Tretyakov Ye.M. | Published: 19.06.2015 |
Published in issue: #3(102)/2015 | |
Category: Mechanics | Chapter: Mechanics of Deformable Solid Body | |
Keywords: solid, elastic deformations, plastic deformations, thin strip, planar deformation |
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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