Author(s)

P. Perzyna & M.K. Duszek-Perzyna

Abstract

Phenomenological modelling of adiabatic shear band localization fracture of solids in dynamic loading processes P. Perzyna, M.K. Duszek-Perzyna Centre of Mechanics, Institute of Fundamental Technological Research, Polish Academy of Science, Swietokrzyska 21, 00-049 Warsaw, Poland ABSTRACT The main objective of the present paper is the application of a recently developed viscoplastic-damage type constitutive theory for high strain rate flow process and ductile fracture to the problem of shear band localization and fracture of dynamically loaded inelastic bodies experiencing strain rates ranging between 10^ — 10^ s~*. In the first part of the paper an adiabatic inelastic flow process is formulated and investigated. The Cauchy problem is examined and the conditions for well-posedness are discussed. The relaxation time is used as a regularization parameter. The viscoplastic regularization procedure assures the unconditionally stable integration algorithm by using the finite element m

Keywords