Normal elastic-plastic impact in plane strain

Strain Elastic-plastic Theories

In a unified approach, the virtual work equations in rate form and in incremental forms are derived rigorously for elastic-plastic continuum subjected to large strains. T h e finite element p r d u r e s for the analyses of clastic-plastic solid b a d on Lee’s theory and the Green-Naghdi theory arc presented. Also, i t i s shown that transformations can be performed among the Eulerian, the Tota...

Asymptotic Analysis of Growing Plane Strain Tensile Cracks in Elastic-ideally Plastic Solids

AN EXACT asymptotic analysis is presented of the stress and deformation fields near the tip of a quasistatically advancing plane strain tensile crack in an elastic-ideally plastic solid. In contrast to previous approximate analyses, no assumptions which reduce the yield condition, n priori, to the form of constant inplane principal shear stress near the crack tip are made, and the analysis is v...

Continuing Crack-tip Deformation and Fracture for Plane-strain Crack Growth in Elastic-plastic Solids

ANALYSIS of the deformation field consistent with a Prandtl stress distribution travelling with an advancing plane-strain crack reveals the functional form of the near tip crack profile in an elastic-plastic solid. The crack opening 6 is shown to have the form 6 N r In (const./r) at a distance r from the tip. This observation coupled with data generated from finite element investigations of gro...

Comparison of theory and experiment for elastic-plastic plane-strain crack growth

Recent theoretical results on elastic-plastic planestrain crack growth an~ reviewed and experimental results for crack growth in a 4140 steel are discussed in terms of the theoretical concepts. The theory is based on a recent asymptotic analysis of crack surface opening and strain distributions at a quasistatically advancing crack tip in an ideally plastic solid. The analysis is incomplete in t...

Dynamic Response in an Elastic-plastic Projectile Due to Normal Impact