Mesomechanics of inhomogeneous deformation and short-term damage of elastic bodies: Coupled equations

The coupled equations of inhomogeneous deformation and short-time damage are formulated for problems of three-dimensional elasticity, plane strain, and plane stress. Initial representations based on the stochastic inhomogeneity of macrostrength are given. A special case of microstrength distribution which simplifies the equations is examined. The cylindrical bending of an elastic layer is considered as a numerical example __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 9, pp. 28–37, September 2007.