AN ADAPTIVE MESH REFINEMENT TECHNIQUE FOR THE ANALYSIS OF ADIABATIC SHEAR BANDING

Adiabatic shear bands are narrow regions in which the shear strain is several orders of magnitude higher than that in the adjoining regions. Because of the steep gradients of deformation within and near these bands, a properly graded mesh is required for a satisfactory resolution of the details of the deformation field. Here we use the scaled residuals in the equations expressing the balance of linear momentum and the balance of internal ebergy to refine the mesh adaptively. The computed results show that the two balance laws generally require refinement of the mesh in different regions. © 1990.