Shakedown analysis using the p-adaptive finite element method and linear programming
نویسندگان
چکیده
In this paper, we investigate the use of an adaptive p-version of the finite element method to perform shakedown analyses of 2D plane strain problems within the static approach. Moreover, efficient piecewise linearizations of the yield surfaces are carried out in a semi-adaptive fashion so that we need to solve the more tractable linear, rather than nonlinear, programming problems. State-of-the-art linear programming solvers, based on the very efficient interior point methodology, are used for solving the optimization problems. Various numerical examples are provided to compare the efficiency of the proposed approach with those of uniform and nonuniform p-mesh models and nonlinear programming. c © 2006 Elsevier Ltd. All rights reserved.
منابع مشابه
A two dimensional Simulation of crack propagation using Adaptive Finite Element Analysis
Finite element method (FEM) is one of the most famous methods which has many applications in varies studies such as the study of crack propagation in engineering structures. However, unless extremely fine meshes are employed, problem arises in accurately modelling the singular stress field in the singular element area around the crack tip. In the present study, the crack growth simulation has b...
متن کاملLimit and Shakedown Analysis of Circular Tube Containing External Pit
The circular tubes containing external pit defects are analyzed in a lower-bound finite element computational form based on the static shakedown theorem. The shakedown analysis has not been commonly used in the engineering due to the large amount of computations. To overcome the numerical difficulties, a temperature parameter method is used, in which a pseudo-temperature field is applied to the...
متن کاملElasto-Plastic Finite Element Evaluation of Flexible Pavements Based on Shakedown Concept
In this paper, three-dimensional elasto-plastic finite element analysis was performed on flexible pavements under vertical repeated traffic loads to evaluate their shakedown behavior. Six different pavements with different structural number (SN) were modeled and subjected to a wide range of cyclic vehicle loads. Shakedown limits were obtained considering both failure and serviceability restrain...
متن کاملNonlinear Finite Element Analysis of Bending of Straight Beams Using hp-Spectral Approximations
Displacement finite element models of various beam theories have been developed using traditional finite element interpolations (i.e., Hermite cubic or equi-spaced Lagrange functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, total rotation φ and/or shear strain γxz, or in the integral form u...
متن کاملAn Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements
In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...
متن کامل