Deformation and short-term damage of physically nonlinear stochastic composites

The studies on the deformation and short-term damage of physically nonlinear homogeneous and composite materials are systemized. A single microdamage is modeled by an empty quasispherical pore in place of a microvolume damaged in accordance with the Huber-von Mises failure criterion. The ultimate microstrength is assumed to be a random function of coordinates. The porosity balance equation is derived. Together with the macrostress-macrostrain relationship, it constitutes a closed-form system of equations. The damage-macrostrain relationship and macrostress-macrostrain curves for homogeneous and composite materials are analyzed. © 2009 Springer Science+Business Media, Inc.