LARGE DEFORMATIONAL ANALYSES FOR PLATE & SHELL STRUCTURES BY THE TANGENT STIFFNESS METHOD

A Simplified Finite Element Method for Large Frame Structures, Using Explicitly Derived Tangent Stiffness Matrices Deformation, Post-buckling Analyses of Large

In this paper, a simplified, economical and highly accurate method for large deformation, post-buckling, analyses of frame-type structures is presented. Using the concepts of polar-decomposition of deformation, an explicit expression for the tangent stiffness matrix of a member/element of the frame, that accounts for the nonlinear bending-stretching coupling, is derived in closed form, at any p...

Mechanics of Materials and Structures SOLUTIONS OF THE VON KÁRMÁN PLATE EQUATIONS BY A GALERKIN METHOD, WITHOUT INVERTING THE TANGENT STIFFNESS MATRIX

New Method for Large Deflection Analysis of an Elliptic Plate Weakened by an Eccentric Circular Hole

The bending analysis of moderately thick elliptic plates weakened by an eccentric circular hole has been investigated in this article. The nonlinear governing equations have been presented by considering the von-Karman assumptions and the first-order shear deformation theory in cylindrical coordinates system. Semi-analytical polynomial method (SAPM) which had been presented by the author before...

A Tangent Stiffness MLPG Method for Atom/Continuum Multiscale Simulation

The main objective of this paper is to develop a multiscale method for the static analysis of a nano-system, based on a combination of molecular mechanics and MLPG methods. The tangent-stiffness formulations are given for this multiscale method, as well as a pure molecular mechanics method. This method is also shown to naturally link the continuum local balance equation with molecular mechanics...

Non-conforming Domain Decomposition Method for Plate and Shell Problems

The mortar element method is an optimal domain decomposition method for the approximation of partial differential equations on non-matching grids. There already exists applications of the mortar method to Navier-Stokes, elasticity, and Maxwell problems. The aim of this paper is to provide an extension of the mortar method to plates and shells problems. We first recall the Discrete Kirchhoff Tri...