ANALYSIS OF IMPERFECTION SENSITIVITY OF SQUARE ELASTIC-PLASTIC PLATES UNDER AXIAL-COMPRESSION

abstract

• For a simply supported elastic-plastic square plate under axial compression the post-bifurcation behaviour and the sensitivity to initial imperfections are investigated. An exact asymptotic expansion is given for the initial post-bifurcation behaviour of a perfect plate compressed into the plastic range. The imperfection sensitivity is studied through an asymptotic analysis of the behaviour of the hypoelastic plate that results from neglecting the effect of elastic unloading. The results of the asymptotic analyses are compared with results of a numerical incremental solution by means of a combined finite element-Rayleigh Ritz method. The paper considers the effect of different in-plane boundary conditions and the effect of various degrees of strain hardening. 1976.

authors

• Needleman, Alan

published proceedings

• INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

author list (cited authors)

• NEEDLEMAN, A., & TVERGAARD, V.

citation count

• 34

complete list of authors

• NEEDLEMAN, A||TVERGAARD, V

publication date

• January 1976

publisher

• Elsevier  Publisher

published in

• International Journal of Solids and Structures  Journal

Digital Object Identifier (DOI)

• 10.1016/0020-7683(76)90062-7

start page

• 185

end page

• 201

volume

• 12

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0020-7683%2876%2990062-7