Influence of the cavitation on the stress–strain fields of compressible Blatz–Ko materials at finite deformation

The aim of this article is the analysis of fracture growth in media characterized by random distribution of microfailure mechanisms per unit volume. The deformation behavior of the material was investigated in terms of a spherical unit cell model, containing an initially spherical cell of porous. The effective elastic bulk modulus as a function of microfailures concentration was computed and using the Griffith critirium and certain boundary conditions the rate at which the void area varies was determined too. Along the analysis a special form of the strain energy function for compressible Blatz–Ko material was used. The applied traction on the unit cell of the material was determined as a function of the porosity of the material, as well as the strain field within the solid. At low values of the porosity, as the applied external traction was increased instabilities were observed in the void growth