Polischuk, A. S. A microdeformation theory for damageable materials. (Russian, English) Zbl 1201.74081 Prikl. Mekh., Kiev 45, No. 3, 122 (2009); translation in Int. Appl. Mech. 45, No. 3, 328-329 (2009). A microdeformation theory for damaged bodies is proposed. It is based on earlier developed correlations [Yu. A. Chernyakov and V. P. Shneyder, Vest. Dnepr. Univ. 2, 205–210 (2006)]. Additionally, it takes special relations with unilateral constraints into account which were proposed in [J. Lemaitre and R. Desmorat, Engineering damage mechanics, Berlin, Springer (2005)]. This theory allows not only for the classical version of damageability but also for the processes of closure of microdefects under compression. Reviewer: A. A. Kaminsky (Kyïv) MSC: 74C99 Plastic materials, materials of stress-rate and internal-variable type 74M25 Micromechanics of solids Keywords:deformation of damageable materials; arbitrary loading trajectories Software:VEST PDFBibTeX XMLCite \textit{A. S. Polischuk}, Prikl. Mekh., Kiev 45, No. 3, 122 (2009; Zbl 1201.74081); translation in Int. Appl. Mech. 45, No. 3, 328--329 (2009)