Topology optimization of load-bearing capacity

نویسندگان

چکیده

The present work addresses the problem of maximizing a structure load-bearing capacity subject to given material strength properties and volume constraint. This can be viewed as an extension limit analysis problems which consist in finding maximum load for fixed geometry. We show that it is also closely linked minimizing total under constraint carrying loading. Formulating these topology optimization using continuous field representing fictitious density yields convex solved efficiently state-of-the-art solvers used problems. further analyze by discussing choice criterion, especially when considering materials with asymmetric tensile/compressive strengths. In particular, we advocate use L1-Rankine criterion tends promote uniaxial stress fields truss-like structures. considered equivalent constrained Michell truss problem. Finally, following idea SIMP method, obtained post-processed iterative procedure penalizing intermediate densities. Benchmark examples are first illustrate method overall efficiency while final focus more particularly on no-tension materials, illustrating how able reproduce known structural patterns masonry-like paper accompanied Python package based FEniCS finite-element software library.

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ژورنال

عنوان ژورنال: Structural and Multidisciplinary Optimization

سال: 2021

ISSN: ['1615-1488', '1615-147X']

DOI: https://doi.org/10.1007/s00158-021-02923-1