Optimal control of the heating of thermosensitive canonical bodies with constraints on the stress in the plastic zone

Vigak, V. M.; Yasinskii, A. V.; Yuzvyak, N. I.

doi:10.1007/bf00847259

Cited by 4 publications

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“…Moreover, the problems of optimization of material properties [15,20] and its optimal heating control [39,40] require the solutions in the form which is convenient for applications.…”

Section: Introductionmentioning

confidence: 99%

Analytical solutions to the 2D elasticity and thermoelasticity problems for inhomogeneous planes and half-planes

Tokovyy

2008

Arch Appl Mech

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This paper presents a method for analytical solving the plane elasticity and thermoelasticity problems for planes and half-planes which exhibit inhomogeneous material properties in one of the planar directions (in the case of half-plane, the inhomogeneity direction is assumed to be perpendicular to the boundary.) With the aid of direct integration of equilibrium equations, the original problems are reduced to the set of governing, harmonic equations with corresponding conditions. In the transform domain of the integral Fourier-transform, the governing equations are reduced to an integral equation which is solved by simple iteration technique. The rapid convergence of the iterative procedure is established to perform the numerical calculation.Keywords 2D plane elasticity and thermoelasticity problems · Inhomogeneous material · Plane and half-plane

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“…Moreover, the problems of optimization of material properties [15,20] and its optimal heating control [39,40] require the solutions in the form which is convenient for applications.…”

Section: Introductionmentioning

confidence: 99%