Numerical method for solving of ill-conditioned boundary value problems in nonlinear elasticity

DOI10.1007/S00707-022-03441-XOpenAlexW4311948011MaRDI QIDQ2694678

Igor A. Brigadnov

Publication date: 4 April 2023

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03441-x

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical methods for functional-differential equations (65L03)

Cites Work

• Regularization of non-convex strain energy function for non-monotonic stress-strain relation in the Hencky elastic-plastic model
• Convexity conditions and existence theorems in nonlinear elasticity
• Multi-criteria estimation of load-bearing capacity of solids
• Power law type Poynting effect and non-homogeneous radial deformation in the boundary-value problem of torsion of a nonlinear elastic cylinder
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