Elastoplastic analysis of frames composed of softening materials by restricted basis linear programming

نویسندگان

  • M. R. Mahini
  • H. Moharrami
چکیده

This paper is concerned with nonlinear analysis of frames composed of softening materials. The previously proposed dissipated energy maximization approach is extended to determine non-holonomic solution of such frames. The adopted assumptions are: linear kinematics, lumped plasticity with softening behavior, piecewise-linear yield functions, associate flow rule and isotropic evolution with a three phase linear softening rule. The approach is based on a mathematical programming formulation. The solution procedure is discussed and presented in a comprehensive flowchart. It is shown that this method has the ability of solving and tracing path dependent problems and detecting any possible bifurcation. 2013 Elsevier Ltd. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Mathematical Modeling for Plastic Analysis of Planar Frames by Linear Programming and Genetic Algorithm

In this paper, a mathematical modeling is developed for plastic analysis of planar frames. To this end, the researcher tried to design an optimization model in linear format in order to solve large scale samples. The computational result of CPU time requirement is shown for different samples to prove efficiency of this method for large scale models. The fundamental concept of this model is ob...

متن کامل

Viscous Approximation of Quasistatic Evolutions for a Coupled Elastoplastic-damage Model

Employing the technique of vanishing viscosity and time rescaling, we show the existence of quasistatic evolutions for elastoplastic materials with incomplete damage affecting both the elastic tensor and the plastic yield surface, in a softening framework and in small strain assumptions.

متن کامل

A Global Extremum Principle for the Analysis of Solids Composed of Softening Material

An extremum principle is presented covering problems in solid mechanics equilibrium analysis for piecewise linear softening materials. Problems formulated according to this principle are expressed in a mixed “stress and deformation” form. The mechanics interpretation is limited according to linear deformation kinematics. More specialized models, such as an exfremumprinciple in mixed form for li...

متن کامل

A Continuous Optimization Model for Partial Digest Problem

The pupose of this paper is modeling of Partial Digest Problem (PDP) as a mathematical programming problem. In this paper we present a new viewpoint of PDP. We formulate the PDP as a continuous optimization problem and develope a method to solve this problem. Finally we constract a linear programming model for the problem with an additional constraint. This later model can be solved by the simp...

متن کامل

Elastoplastic Buckling Analysis of Plates Involving Free Edges by Deformation Theory of Plasticity (RESEARCH NOTE)

Abstract   In this paper elastoplastic buckling of rectangular plates with different boundary conditions are investigated. Differential governing equations of plate are obtained on the basis of general loading and according to deformation theory (DT) of plasticity. Various loading conditions contain uniaxial, biaxial and shear are studied. The employed material is AL7075T6 which is usually used...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015