Shakedown Analysis Combined With the Problem of Heat Conduction

This paper deals with the computation of the shakedown load of engineering systems subjected to varying loads. In p ticular, we focus on thermal loading and the resulting heat c onduction problem in combination with shakedown analysis. Th e analysis is based on the lower bound shakedown theorem by Melan. The calculation is carried out by use of an interior-p oint algorithm. Emphasis is placed on the presentation of theoretical deriv ations whereas numerical aspects are out of scope and will be p resented elsewhere. The methodology is illustrated by the app lication to a simplified model of a tube sheet in heat exchangers.

[1]  Panos M. Pardalos,et al.  Second-order cone programming approaches to static shakedown analysis in steel plasticity , 2005, Optim. Methods Softw..

[2]  Stephen J. Wright,et al.  Interior-point methods , 2000 .

[3]  Weichert Dieter,et al.  Limit States of Materials and Structures , 2009 .

[4]  Ernst Melan,et al.  Zur Plastizität des räumlichen Kontinuums , 1938 .

[5]  E. Loute,et al.  Mixed method and convex optimization for limit analysis of homogeneous Gurson materials: a kinematical approach , 2009 .

[6]  M. H. Wright.  The interior-point revolution in optimization: History, recent developments, and lasting consequences , 2004 .

[7]  Raffaele Casciaro,et al.  An iterative method for shakedown analysis , 2002 .

[8]  Kristian Krabbenhoft,et al.  A general non‐linear optimization algorithm for lower bound limit analysis , 2003 .

[9]  Philip G. Hodge,et al.  Limit Analysis of Structures at Thermal Cycling , 1980 .

[10]  S. Sloan,et al.  Formulation and solution of some plasticity problems as conic programs , 2007 .

[11]  C. Martin,et al.  Lower bound limit analysis of cohesive‐frictional materials using second‐order cone programming , 2006 .

[12]  Joseph Pastor,et al.  Limit analysis and Gurson's model , 2005 .

[13]  Lorenz T. Biegler,et al.  Line Search Filter Methods for Nonlinear Programming: Motivation and Global Convergence , 2005, SIAM J. Optim..

[14]  P. Wriggers,et al.  An interior‐point algorithm for elastoplasticity , 2007 .

[15]  Lorenz T. Biegler,et al.  On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[16]  Anders Forsgren,et al.  Interior Methods for Nonlinear Optimization , 2002, SIAM Rev..

[17]  Zhangzhi Cen,et al.  Lower bound limit analysis by the symmetric Galerkin boundary element method and the Complex method , 2000 .

[18]  Dieter Weichert,et al.  Inelastic Analysis of Structures under Variable Loads , 2000 .

[19]  Jaan-Willem Simon,et al.  Interior-Point Method for the Computation of Shakedown Loads for Engineering Systems , 2010 .

[20]  G. Maier,et al.  3.12 – Direct Methods of Limit and Shakedown Analysis , 2003 .

[21]  Le Thi Hoai An,et al.  Application of lower bound direct method to engineering structures , 2007, J. Glob. Optim..

[22]  Manfred Staat,et al.  Analysis of pressure equipment by application of the primal-dual theory of shakedown , 2006 .

[23]  Jan A. König,et al.  Shakedown of Elastic-Plastic Structures , 1987 .