Finite Indentation of Elastic and Elastic-Plastic Membranes by a Spherical Indenter
[Technical Report, Annual Report]
STANFORD UNIV CA
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Rotationally symmetric stresses and deformations are considered for a prestressed elastic sheet of circular outer boundary loaded transversely by a centered indenter with a hemispherical tip. A nonlinear membrane solution is obtained for the portion of the sheet that is in frictionless contact with the rigid tip of the indenter. This solution and the nonlinear membrane solution previously obtained by Nachbar for a prestressed annular membrane are used to obtain a complete solution for stresses and deflections of the indented membrane. The indenter problem defined above is reconsidered under the assumption that the membrane is composed of an elastic perfectly plastic material.