This work presents a new finite-difference continuum damage mechanics approach for assessment of threshold stresses based on the mechanical response of a representative volume element of a sandy-cement rock-like material. An original experimental study allows validating the mathematical model. A new modification of the damage accumulation kinetic equation is proposed.
View Article and Find Full Text PDFIn the last decade, Fe2Mo3O8 was recognized for a giant magnetoelectric effect, the origin of which is still not clear. In the present paper, we contribute to the microscopic theory of the magnetoelectric coupling in this compound. Using crystal field theory and the molecular field approximation, we calculated the low-lying energy spectrum for iron ions and their interaction with electric and magnetic fields.
View Article and Find Full Text PDFCollisionless media devoid of intrinsic stresses, for example, a dispersed phase in a multiphase medium, have a much wider variety of space-time structures and features formed in them than collisional media, for example, a carrier, gas, or liquid phase. This is a consequence of the fact that evolution in such media occurs in phase space, i.e.
View Article and Find Full Text PDFAn essential stage of mine design is an estimation of the steps of the first and periodic roof caving in longwall mines. Generally, this is carried out using the field experience and can be much enhanced by numerical simulation. In this work, the finite-difference method was applied coupled with the continuum damage mechanics (CDM) approach to simulate the stress-strain evolution of the rock mass with the underground opening during coal extraction.
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