Numerically generated tangent stiffness matrices using the complex variable derivative method for nonlinear structural analysis

DOI10.1016/j.cma.2010.09.004zbMath1225.74129OpenAlexW2060493754MaRDI QIDQ643979

Junghyun Ryu, Sanghaun Kim, Maenghyo Cho

Publication date: 2 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.09.004

zbMATH Keywords

tangent stiffness matrixgeometric nonlinearcomplex variable derivative method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (10)

A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers ⋮ Determination of the tangent stiffness tensor in materials modeling in case of large deformations by calculation of a directed strain perturbation ⋮ Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers ⋮ Numerical experiment based on non-linear micropolar finite element to study micro-rotations generated by the non-symmetric Maxwell stress tensor ⋮ Complex step derivative approximation of consistent tangent operators for viscoelasticity based on fractional calculus ⋮ Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis ⋮ A phase field approach enhanced with a cohesive zone model for modeling delamination induced by matrix cracking ⋮ Solution to two-dimensional steady inverse heat transfer problems with interior heat source based on the conjugate gradient method ⋮ Extension of complex step finite difference method to Jacobian-free Newton-Krylov method ⋮ Numerical calculation of thermo-mechanical problems at large strains based on complex step derivative approximation of tangent stiffness matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computational inelasticity
• Numerically generated tangent stiffness matrices for nonlinear structural analysis.
• A consistent co-rotational formulation for nonlinear, three-dimensional, beam-elements
• Using Complex Variables to Estimate Derivatives of Real Functions
• A corotational finite element formulation for the analysis of planar beams
• Large deflection of cantilever beams

This page was built for publication: Numerically generated tangent stiffness matrices using the complex variable derivative method for nonlinear structural analysis