Finite deformation of elasto-plastic solids

JR Osias - 1973 - ntrs.nasa.gov
A theoretical basis is established for analysis of finite deformation of metals. The observation
that finite deformation of such elastoplastic materials may be viewed as a process rather …

Numerical analysis and modeling of large deformation and necking behavior of tensile specimens

M Brünig - Finite Elements in Analysis and Design, 1998 - Elsevier
The present paper is concerned with numerical simulations of large deformation and
necking behavior of axisymmetric tensile specimens. In particular, an efficient framework for …

Finite element analysis of tensile testing with emphasis on necking

M Joun, I Choi, J Eom, M Lee - Computational Materials Science, 2007 - Elsevier
We present a finite element approach for analyzing tensile tests using the rigid-plastic finite
element method. To predict the necking in the tensile test, a mechanically perfect, simple …

Inertial effects on necking in tension

P Tuǧcu, KW Neale, AE Lahoud - International journal of solids and …, 1990 - Elsevier
A one-dimensional finite element program has been developed to study the effects of inertia
on necking instability in a round bar under tension. An elastic-viscoplastic constitutive law is …

Necking of elasto-plastic rods under tension

HSC Mattos, FEG Chimisso - International journal of non-linear mechanics, 1997 - Elsevier
This work is concerned with the modeling of the necking phenomenon in metallic tension
members using a non-linear theory of elasto-plastic rods with deformable cross section. The …

Modeling and numerical computation of necking in round bars using a total Lagrangian elastoplastic formulation

A Le Van, P Le Grognec - Computer Modeling in Engineering and …, 2001 - hal.science
Necking is a bifurcation phenomenon observed in round bars under tensile loading and has
been investigated in numbers of papers. In the present work, it is modeled within the …

An experimental investigation of necking in thin sheets

W Tong, N Zhang - ASME International Mechanical …, 2001 - asmedigitalcollection.asme.org
Due to its simplicity in instrumentation and data analysis, uniaxial tensile tests are commonly
used for determining the plastic stress-strain relation of a sheet metal. However, the tensile …

Anisotropic tensile necking

MA Eisenberg - International journal of plasticity, 1985 - Elsevier
Tensile necking in anisotropic bars is analyzed in the spirit of PW Bridgman's treatment of
the isotropic case. Anisotropic plastic flow causes an initially axisymmetric bar to develop an …

On finite element formulations for large elastic–plastic deformations

A Needleman - Advances and Trends in Structures and Dynamics, 1985 - Elsevier
Some issues arising in the formulation of finite strain plasticity problems are discussed. One
issue concerns the formulation of finite deformation elastic-plastic constitutive relations for …

Recent developments in the application of finite element methods to nonlinear problems

DRJ Owen, D Perić - Finite elements in analysis and design, 1994 - Elsevier
Computational strategies relevant to finite strain elasto-plastic problems are discussed and
the necessity for both a sound theoretical framework and numerically consistent linearisation …