Analysis of adiabatic shear bands in thermo-elasto-viscoplastic materials by using piece-wise discontinuous basis functions

Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method

We use the modified smoothed-particle hydrodynamics (MSPH) method to analyze shear strain localization in elasto-thermo-viscoplastic materials that exhibit strainand strain-rate hardening and thermal softening. A homogeneous solution of simple shearing deformations of the body is perturbed and the resulting initial-boundary-value problem analyzed by the MSPH method. It is found that the deforma...

Thermo-elasto-viscoplastic Analysis of Problems in Extension and Shear

The problems of extension and shear behavior of structural elements made of carbon steel and subjected to large thermomechanical loads are investigated. The analysis is based on nonlinear geometric and constitutive relations, and is expressed in a rate form. The materiai constitutive eqtiations arc capab!e of reproducing all nonisothermal, elasto-viscoplastic characteristics. The results of the...

Adiabatic Shear Bands in Functionally Graded Materials

The initiation and propagation of adiabatic shear bands (ASBs) in functionally graded materials (FGMs) deformed at high strain rates in plane-strain tension have been studied. An ASB is a narrow region, usually a few micrometers wide, of intense plastic deformation that forms after softening of the material due to its being heated up and the evolution of damage in the form of porosity has overc...

Analysis of Adiabatic Shear Bands by Numerical Methods

ρ mass density in the present configuration ρ0 mass density in the reference configuration J determinant of the deformation gradient Fiα components of deformation gradient xi coordinates of a point in the present configuration Xα coordinates of a point in the reference configuration Tiα components of the first Piola Kirchhoff stress tensor vi components of velocity bi components of body force p...

Propagation of Adiabatic Shear Bands