Local stress–strain conditions of textured polycrystals under high pressure

Abstract

The polycrystalline material is simulated as a stochastic continuous medium, and for its description the theory of random fields is used. For such materials the tensor of concentration of stresses (strains), which connects local stresses (strains) with their external values, is defined and calculated. The various approximations for calculation of these operators are received. The numerical results are obtained for the textured polycrystalline quartz rock. The analysis of influence of texture for polycrystalline quartz is conducted.

Key Words:

• Polycrystals
• Texture
• Local stresses and strains
• Theory