The article discusses the strength of concrete and other brittle materials in the case of nonuniform biaxial type of compression (σ1 > σ2 > 0) and triaxial compression of σ1 > σ2 = σ3 > 0 type (it was assumed that σ> 0 corresponds to compression). I | Fracture of high performance materials under multiaxial compression and thermal effect Engineering Solid Mechanics 2017 139-144 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm Fracture of high performance materials under multiaxial compression and thermal effect Igor Lubimovich Shubina Yuri Vladimirovich Zaitsevb Vladimir Ivanovich Rimshinc Vladimir Leonidovich Kurbatovd and Pyatimat Sulambekovna Sultygovae a Research institute of construction physics RAASN Russia 127237 Moscow Lokomotivnaya St. 21 Russia b Russian Academy of Architecture and Building Sciences Vienna University of Technology Russia 107031 Moscow Dmitrovka St. 24 Russia c FGBOU VO National Research Moscow State Construction University NIU MGSU Russia 129337 Moscow Yaroslavl Highway 26 Russia d Belgorod state technological university of V. G. Shukhov Russia 308012 Belgorod Kostyukov St. 46 Russia e Ingush State University 386132 Nazran Gamurzievo municipality Trunk St. 39 Russia A R T I C L EI N F O ABSTRACT Article history The article discusses the strength of concrete and other brittle materials in the case of non- Received 6 October 2016 uniform biaxial type of compression σ1 gt σ2 gt 0 and triaxial compression of σ1 gt σ2 σ3 gt 0 Accepted 3 February 2017 type it was assumed that σ gt 0 corresponds to compression . It is noted that when considering Available online 6 February 2017 the biaxial loading in the accepted model probabilistic nature of distribution of stresses along Keywords the contour of pores and inclusions . stress causing formation and propagation of cracks in Strength the material plays an important role. Moreover the stress across the circuit pores was regarded Multiaxial compression as a three-dimensional random field of S α β γ ω where ω - is a random argument. Considering Compressive and tensile stresses the average number of overshoots NR we believed that the random field of S is not homogeneous Temperature effect