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Topology optimization of continuum structures with local stress constraints

✍ Scribed by P. Duysinx; M. P. Bendsøe

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
296 KB
Volume
43
Category
Article
ISSN
0029-5981

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✦ Synopsis

We introduce an extension of current technologies for topology optimization of continuum structures which allows for treating local stress criteria. We ÿrst consider relevant stress criteria for porous composite materials, initially by studying the stress states of the so-called rank 2 layered materials. Then, on the basis of the theoretical study of the rank 2 microstructures, we propose an empirical model that extends the power penalized sti ness model (also called SIMP for Solid Isotropic Microstructure with Penalization for intermediate densities). In a second part, solution aspects of topology problems are considered. To deal with the so-called 'singularity' phenomenon of stress constraints in topology design, an -constraint relaxation of the stress constraints is used. We describe the mathematical programming approach that is used to solve the numerical optimization problems, and show results for a number of example applications. ?

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