Mathematical modeling of inverse problems of forming taking into account the incomplete reversibility of creep strain

DOI10.1134/S0021894418010170zbMath1448.74005OpenAlexW2792390038MaRDI QIDQ1647284

N. A. Taranukha, K. S. Bormotin

Publication date: 26 June 2018

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894418010170

zbMATH Keywords

convergencevariational inequalitiesuniquenessiterative methodfinite-element methodinverse problems of formingtheory of incomplete reversibility of creep strain

Mathematics Subject Classification ID

Variational inequalities (49J40) Finite element methods applied to problems in solid mechanics (74S05) Inverse problems in equilibrium solid mechanics (74G75) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)

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Cites Work

• Direct method of solving the boundary-value problem of relaxation of residual stresses in a hardened cylindrical specimen under creep conditions
• Modeling of forming of wing panels of the SSJ-100 aircraft
• On uniqueness and stability in the theory of finite elastic strain
• Iterative method for solving geometrically nonlinear inverse problems of structural element shaping under creep conditions
• Numerical simulation of the oscillations of non-Newtonian viscous fluids with a free surface