Nonlinear structural design sensivitity analysis for path dependent problems. Part 1: General theory

JJ Tsay, JS Arora - Computer Methods in Applied Mechanics and …, 1990 - Elsevier
Two procedures (direct differentiation and adjoint structure) for design sensitivity analysis of
nonlinear structural systems with path dependent effects are described in this paper …

A simple implementation of RITSS and its application in large deformation analysis

Y Tian, MJ Cassidy, MF Randolph, D Wang… - Computers and …, 2014 - Elsevier
Large deformation finite element (LDFE) analysis is being applied increasingly in
geomechanics as it allows numerical interpretation of problems in which the structural …

Nonlinear positional formulation for space truss analysis

M Greco, FAR Gesualdo, WS Venturini… - Finite elements in analysis …, 2006 - Elsevier
This paper presents a new geometric nonlinear formulation for static problems involving
space trusses. Based on the finite element method (FEM), the proposed formulation uses …

Formulation and survey of ALE method in nonlinear solid mechanics

J Wang, MS Gadala - Finite Elements in Analysis and Design, 1997 - Elsevier
This paper investigates the applicability and accuracy of existing formulation methods in
general purpose finite element programs to the finite strain deformation problems. The basic …

ALE formulation and its application in solid mechanics

MS Gadala, J Wang - Computer Methods in Applied Mechanics and …, 1998 - Elsevier
In this paper an incremental approach is used to derive an arbitrarily-Lagrangian-Eulerian
(ALE) finite element formulation including a complete expression of the external virtual work …

A hybrid/mixed model for non‐linear shell analysis and its applications to large‐rotation problems

AF Saleeb, TY Chang, W Graf… - … Journal for Numerical …, 1990 - Wiley Online Library
Adopting an updated Lagrange approach, the general framework for the fully non‐linear
analysis of curved shells is developed using a simple quadrilateral C0 model (HMSH5). The …

[HTML][HTML] Building functional networks for complex response analysis in systems of coupled nonlinear oscillators

C Geier, M Stender, N Hoffmann - Journal of Sound and Vibration, 2024 - Elsevier
Some aspects of engineering dynamics, such as nonlinearities and transient motion of many
interconnected parts, remain difficult to handle today. To comply with increasing demands …

A solution method for general contact–impact problems

K Farahani, M Mofid, A Vafai - Computer methods in applied mechanics …, 2000 - Elsevier
In this paper, a solution method is presented for the analysis of contact/impact between
deformable bodies. The method is different from Lagrange multipliers and Penalty methods …

Finite element procedure for solving contact thermoelastoplastic problems at large strains, normal and high pressures

AV Idesman, VI Levitas - Computer methods in applied mechanics and …, 1995 - Elsevier
The paper presents a finite element (FE) procedure for solving contact thermoelastoplastic
problems at large strains. A rigorous derivation of the constitutive relations used and the …

Treatment of multi freedom constraints in geometrically nonlinear stability analysis of truss structures using penalty function method

VTB Quyen, DN Tien, P Van Dat - IOP Conference Series …, 2020 - iopscience.iop.org
This paper focus on the treating the multi freedom constraints in geometrically nonlinear
buckling and post buckling analysis of truss structure using finite element method. The …