Kurrer, K.-E. (2018) The History of the Theory of Structures: Searching for Equilibrium. 2nd Edition, John Wiley & Sons, Berlin, 1212 p.
https://doi.org/10.1002/9783433609163

has been cited by the following article:

• TITLE: A Simple Elasto-Plastic Iterative Method by Fem for the Analysis of Plane Articulated Truss: Case of a 3-Bar Truss

  AUTHORS: Djomi Rolland, Fokam Bopda Christian, Kenmeugne Bienvenu, Kanmogne Abraham, Mbobda Gerard

  KEYWORDS: Articulated Truss, Elasto-Plastic, Newton-Raphson, Finite Element Method

  JOURNAL NAME: Journal of Materials Science and Chemical Engineering, Vol.9 No.6, June 29, 2021

  ABSTRACT: This paper presents a simplified numerical simulation tool for the elasto-plastic calculation of plane articulated truss by the finite element method (FEM) in MATLAB. The simplified approach consists of linearizing isotropic strain-hardening (to obtain a bilinear material law). The numerical implementation is built on the basis of the incremental and iterative FEM algorithms. The numerical resolution technique used is based on the projection methods of the modified Newton-Raphson solution. The MATLAB program is developed for the application of a 3-bar truss under monotonous quasi-static loading. Different values of the approximation error of the convergence criterion are used to study its impact on the quality of the algorithm. Numerical simulations have shown the reliability and quality of our simplified approach regardless of the approximation error.