Geodesic
A method of dynamic programming in the problems of optimal panel deformation in the creep mode
Numerical methods and programming, Tome 19 (2018) no. 4, pp. 470-478

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The problems of modeling the panel forming processes in the creep mode with the aid of a reconfigurable rod punch are considered. The problem of deformation in creep with consideration of geometric nonlinearity and contact conditions is solved by the finite element method. The experimental results allow one to identify the effect of scattering with the damage parameter. In this case, the forming processes allow controlling the level of material damage and coordinating with technological constraints due to the optimal choice of the strain path in time. A discrete optimal control problem is formulated and is solved by the method of dynamic programming with the refinement of the solution by the method of local variations. The efficiency of the proposed method is shown in comparison with a full search of variants for the strain paths.
Keywords: inverse problems of forming, creep, elasticity, iterative methods, finite element method, damage, discrete optimal control problem, dynamic programming method, local variation method.
Mots-clés : variational principles 
@article{VMP_2018_19_4_a13,
     author = {K. S. Bormotin and A. Vin},
     title = {A method of dynamic programming in the problems of optimal panel deformation in the creep mode},
     journal = {Numerical methods and programming},
     pages = {470--478},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2018_19_4_a13/}
}
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K. S. Bormotin; A. Vin. A method of dynamic programming in the problems of optimal panel deformation in the creep mode. Numerical methods and programming, Tome 19 (2018) no. 4, pp. 470-478. http://geodesic.mathdoc.fr/item/VMP_2018_19_4_a13/