A FINITE-ELEMENT METHOD FOR LOCALIZED FAILURE ANALYSIS Academic Article

abstract

• A method is proposed which aims at enhancing the performance of general classes of elements in problems involving strain localization. The method exploits information concerning the process of localization which is readily available at the element level. A bifurcation analysis is used to determine the geometry of the localized deformation modes. When the onset of localization is detected, suitably defined shape functions are added to the element interpolation which closely reproduce the localized modes. The extra degrees of freedom representing the amplitudes of these modes are eliminated by static condensation. The proposed methodology can be applied to 2-D and 3-D problems involving arbitrary rate-independent material behavior. Numerical examples demonstrate the ability of the method to resolve the geometry of localized failure modes to the highest resolution allowed by the mesh. 1987.

authors

• Needleman, Alan

published proceedings

• COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

altmetric score

• 3

author list (cited authors)

• ORTIZ, M., LEROY, Y., & NEEDLEMAN, A.

citation count

• 492

complete list of authors

• ORTIZ, M||LEROY, Y||NEEDLEMAN, A

publication date

• January 1987

publisher

• Elsevier  Publisher

published in

• Computer Methods in Applied Mechanics and Engineering  Journal

Digital Object Identifier (DOI)

• 10.1016/0045-7825(87)90004-1

start page

• 189

end page

• 214

volume

• 61

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0045-7825%2887%2990004-1