Abstract
The paper aims to revisit shakedown analysis involving temperature-dependent yield stress. Formulations and numerical implementations are focused on truss structures subjected to cyclic thermal and constant mechanical loads. In particular, a systematic approach based on the duality relationship of l-norm and l1-norm is established to state the dual formulations for static and kinematic shakedown analysis of truss structures. Illustrative examples are involved statically indeterminate three-bar and five-bar trusses, respectively. Numerical effort is made to acquire shakedown limit temperature by using the linprog function provided by MATLAB. Furthermore, the finite-element analysis using ABAQUS is also performed for rigorous comparisons.
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