ИСТИНА

A paper dealing with numerical simulation in two-dimensional plane deformed state of dynamics for medium (for example, oil-gas saturated layer) near borehole under sudden removal pressure on internal wall of the borehole. The layer is represented by the model of damageable thermoelastoviscoplastic material with two scalar parameters of damaging. These damage parameters describe both as volume (viscous) and shear fracture [1-3]. The criterion of the beginning of new free surfaces within the material uses the principle of the critical value of specific dissipated energy [1]. For explicitly construction of coasts of macroscopic infraction of material continuity we apply algorithm of decomposition Lagrangian mesh [4]. Russian Foundation for Basic Research (grant 15-01-01541a) is acknowledged for financial support. References 1. Kiselev A.B., Yumashev M.V. Deformation and failure under impact loading. Model of a thermoelastoplastic medium // Journal of Applied Mechanics and Technical Physics. - 1990. - Vol. 31. - No. 5. - Pp. 775-782. 2. Kiselev A.B., Yumashev M.V. Mathematical model of deformation and failure of solid fuel in shock loading // Journal of Applied Mechanics and Technical Physics. - 1992. - Vol. 33. - No. 6. - Pp. 885-892. 3. Kiselev A.B. Mathematical modeling of a dynamic deformation and combined microfracture of a thermoelastoviscoplastic medium // Moscow University Mechanics Bulletin. - 1998. - Vol. 53. - No. 6. - Pp. 7-15. 4. Kiselev A.B., Zacharov P.P. On numerical modeling of dynamics of irreversible deforming and fracture of oil-bearing layer // Mathematical Modeling. - 2013. - Vol. 25. - No. 3. – Pp. 62-74 (in Russian).