deformation

Mathematical Modeling of Longitudinal Blauofthe System of Homogeneous Rodsabout Rigid Barrir at Increase Long Solids

Authors: Bityurin A. A., Manzhosov V. K.

Mathematical modeling of longitudinal elastic central blow of non-homogeneous rod system about a rigid barrier is carried out, at not-holding connections. Mathematical modeling is carried out by the exact analytical decision of the wave differential equation by method of Dalamber with the setting of necessary initial and boundary conditions. The rod system consists of a step non-homogeneous rod and a homogeneous rod of constant cross section. Connections with a rigid barrier and between rods are not-holding.

Rotational Invariance of Non-Linear Lagrangians of Type-II Micropolar Thermoelastic Continuum

Authors: Radaev Y. N.
The paper contains new results related to extension of the field theoretical approach and its formalism to non-linear coupled
micropolar thermoelastic media. A mathematical model of micropolar (MP) type-II (GNII) thermoelastic (TE) continuum is considered.
A formulation of the least thermoelastic action principle is discussed. Partial differential equations subsequent to the least action
principle are derived. The translational symmetries of non-linear Lagrangians are adopted. Those include an additional symmetry: