Non-Archimedean mathematical analysis methods in description of deformation of structurally inhomogeneous geomaterials

All-Russian Conference on Challenges for Development in Mining Science and Mining Industry devoted to the 85th anniversary of Academician Mikhail Kurlenya

Lavrikov, S.V.^1 ; Mikenina, O.A.^1 ; Revuzhenko, A.F.^1

Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia^1

关键词: Analysis method;    Elastic energy;    Finite element algorithms;    Mathematical analysis;    Plastic strain zone;    Rock specimen;    Self-balanced;    Structural hierarchies;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/53/1/012003/pdf
DOI  :  10.1088/1755-1315/53/1/012003

来源: IOP

【 摘 要 】

Under analysis is an approach to mathematical modeling of structurally inhomogeneous rocks considering structural hierarchy and internal self-balanced stresses. The fields of stresses and strains at various scale levels of rock mass medium are characterized using the non-Archimedean analysis methods. It is shown that such model describes accumulationtion of elastic energy in the form of internal self-balanced stresses on a micro-scale. The finite element algorithm and a computer program are developed to solve plane boundary-value problems. The calculated data on compression of a rock specimen are reported. The paper shows that the behavior of plastic strain zones largley depends on the pre-set initital micro-stresses.