Shakedown with nonlinear strain-hardening including structural computation using finite element method
E Stein, G Zhang, JA König - International Journal of Plasticity, 1992 - Elsevier
An overlay model intended to simulate the elastic, plastic strain-hardening material
behaviour is presented. A static shakedown theorem is formulated. It is shown that the …
behaviour is presented. A static shakedown theorem is formulated. It is shown that the …
On the numerical assessment of the safety factor of elastic-plastic structures under variable loading
J Groβ-Weege - International Journal of Mechanical Sciences, 1997 - Elsevier
A finite element method for the shakedown analysis of two-dimensional structures under
combined mechanical and thermal loading is presented. Linear elastic-perfectly plastic as …
combined mechanical and thermal loading is presented. Linear elastic-perfectly plastic as …
Second-order cone programming approaches to static shakedown analysis in steel plasticity
CD Bisbos, A Makrodimopoulos… - … Methods and Software, 2005 - Taylor & Francis
The finite element method discretized static shakedown analysis of steel constructions leads
to large, sparse convex optimization problems. Under the von Mises yield criterion, they lead …
to large, sparse convex optimization problems. Under the von Mises yield criterion, they lead …
Modeling and computation of shakedown problems for nonlinear hardening materials
E Stein, G Zhang, Y Huang - Computer methods in applied mechanics and …, 1993 - Elsevier
The paper is concerned with shakedown analysis of perfectly plastic, nonlinear kinematic
hardening, linear unlimited kinematical hardening and cyclic kinematical hardening …
hardening, linear unlimited kinematical hardening and cyclic kinematical hardening …
Second-order cone and semidefinite representations of material failure criteria
CD Bisbos, PM Pardalos - Journal of Optimization Theory and Applications, 2007 - Springer
A class of important problems in structural mechanics leads to optimization problems with
linear objective functions and constraints consisting in (a) linear equalities and (b) …
linear objective functions and constraints consisting in (a) linear equalities and (b) …
Basis reduction for the shakedown problem for bounded kinematic hardening material
M Heitzer, G Pop, M Staat - Journal of Global Optimization, 2000 - Springer
Limit and shakedown analysis are effective methods for assessing the load carrying capacity
of a given structure. The elasto–plastic behavior of the structure subjected to loads varying in …
of a given structure. The elasto–plastic behavior of the structure subjected to loads varying in …
A historical view on shakedown theory
D Weichert, A Ponter - The history of theoretical, material and …, 2014 - Springer
Plastic design started in the early 20 th century with the arrival of steel constructions in civil
engineering. The objective was to determine the load carrying capacity in particular of steel …
engineering. The objective was to determine the load carrying capacity in particular of steel …
Data-driven FEM cluster-based basis reduction method for ultimate load-bearing capacity prediction of structures under variable loads
Y Nie, X Gong, G Cheng, Q Zhang - Computers & Structures, 2025 - Elsevier
The structural ultimate load-bearing capacity plays an influential role in engineering
applications. Melan's static shakedown theorem offers a valuable approach for predicting …
applications. Melan's static shakedown theorem offers a valuable approach for predicting …
Structural topology optimization of elastoplastic continuum under shakedown theory
K Li, G Cheng - International Journal for Numerical Methods in …, 2022 - Wiley Online Library
This article presents an elastoplastic continuum topology optimization method for
shakedown under the SIMP‐based framework for the first time, aiming to maximize …
shakedown under the SIMP‐based framework for the first time, aiming to maximize …
Thermomechanical shakedown analysis considering temperature-dependent yield stress based on the primal-dual eigenstress-driven method
K Li, Y Wang, G Cheng, K Yan, X Cai, Y Pan - International Journal of …, 2024 - Elsevier
Many industrial structural components are loaded repeatedly in high-temperature
environments. The shakedown limit under variable thermomechanical loads is a critical …
environments. The shakedown limit under variable thermomechanical loads is a critical …