Method of boundary integral equations (BIEM) and generalized solutions of transient problems of thermoelastodynamics

Alipova, Bakhyt

doi:10.1063/1.4765466

Cited by 4 publications

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“…It is the system of mixed hyperbolic-parabolic type. In this case there are thermoelastic shock waves with the jump of stresses, speeds and heat fluxes at their fronts appeared in the media [8,9]. The solutions satisfy to the next conditions on the jumps at the wave fronts F t :…”

Section: The Statement Of the Boundary Value Problem For A Thermoelasmentioning

confidence: 99%

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Boundary integral equations of dynamics problems for multi-connected thermoelastic semi-plane with a free boundary

Alexeyeva¹,

Alipova²

2018

Int. J. CMEM

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The dynamics of multi-connected thermoelastic semiplane with the non-stationary power source and thermal effects by using of a model of coupled thermoelasticity is investigated. Green's tensor in the space of the Laplace transforms in time describes the displacements of medium under the effect of the impulse concentrated power and thermal sources. The generalized solution of the problem of the dynamics of thermoelastic semiplane with the free boundary under the effect of arbitrary mass forces and thermal sources in 2D-case is built.

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Section: The Statement Of the Boundary Value Problem For A Thermoelasmentioning

confidence: 99%

“…Thus we specified some conditions for radiation, which describe reflected wave from the boundary of semi-plane. The analytic formulas for calculation have complex form [12,13].…”

Section: Green's Tensor For the Free Thermoelastic Semi-plane And Funmentioning

confidence: 99%

Boundary integral equations of dynamics problems for multi-connected thermoelastic semi-plane with a free boundary

Alexeyeva¹,

Alipova²

2018

Int. J. CMEM

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Dynamical analogue of formulae of Gauss of transient problems of thermoelastodynamics

Alipova¹

2014

AIP Conference Proceedings

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The purpose of the research is to construct the method of the boundary integral equations (BIEM) for solving a transient value problem of coupled thermoelastodynamics. The following problems have been solved: (i)) the influence of the temperature on the character of distribution of thermoelastic waves was investigated; (ii) The thermoelastic statement of media in two-and three-dimensional cases was considered under by action of the non-stationary concentrated mass forces and thermal sources; (iii) Two types of Tensors of fundamental stresses were constructed, their properties were investigated, and their asymptotics were constructed; (iv) the dynamical analogue of Formula of Gauss. The BIEM for the thermostresses condition of media was developed at the given non-stationary loadings and thermal flow on its border in bounds in two-and three-dimensional cases.

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Shock waves as generalized solutions of thermoelastodynamics equations. On the uniqueness of boundary value problems solutions

Alipova¹,

Alexeyeva²,

Dadayeva³

2017

AIP Conference Proceedings

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Method of boundary integral equations (BIEM) and generalized solutions of transient problems of thermoelastodynamics

Cited by 4 publications

References 0 publications

Boundary integral equations of dynamics problems for multi-connected thermoelastic semi-plane with a free boundary

Boundary integral equations of dynamics problems for multi-connected thermoelastic semi-plane with a free boundary

Dynamical analogue of formulae of Gauss of transient problems of thermoelastodynamics

Shock waves as generalized solutions of thermoelastodynamics equations. On the uniqueness of boundary value problems solutions

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