Математичні методи та фізико-механічні поля. 2016, 59 (1)

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Mathematical methods and physicomechanical fields
2016. Issue 59 (1)

Титул, зміст.
Selected problems of mechanics of coupled fields.
Analysis of non-classical fracture problems of pre-stressed bodies with interacting cracks.
Class of general solutions of Maxwell equations in Kerr space-time.
Orthogonal over the domain systems of functions and their application in boundary value problems of mathematical physics.
Restoration of initial values in problem for a time fractional diffusion equation.
Multidimensional analogues of the Cauchy – Riemann's system and representations of their solutions via harmonic functions.
Coupled thermoelasticity problem for multilayered composite shells of revolution. I. Theoretical aspects of the problem.
Study of the spectral stability of generalized Runge – Kutta methods applied to initial-boundary value problems for equations of parabolic type. I. Explicit methods.
The energy of internal and surface wave motions in two-layered hydrodynamic system.
Solving the problem on free vibrations of a non thin orthotropic shallow shell of variable thickness in a refined statement.
Effects of variation of orthotropic parameters on stress state of hollow cylinders with concave corrugated cross-section.
Bending isotropic plate with two equal coaxial through-thickness cracks with accounting the width of a contact zone of its faces and in the presence of plastic zones near its tips.
Viscoelastic stresses in plates containing inclusion with crack.
A generalized continuum phenomenological model for viscous liquid: accounting local mass displacement.
Mathematical model for IR emission tomography of temperature field in isotropic layer.

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