While topology optimization has mostly been based on compliance type formulations, industrial applications call for more elaborated design formulation including local stress constraints. Topology optimization with stress constraints initially considered in Duysinx & Bendsoe (1998) has taken benefit of several extensions, e.g. to consider non equal stress limits (Bruggi & Duysinx, 2013), global stress constraints (Duysinx & Sigmund, 1998), fatigue resistance (Collet et al. 2016) or Simultaneous Analysis and Design (SAND) Approach (Munro & Groenwold, 2016). Currently the topic is the subject of a growing number of research works. However a careful literature review reveals that the different works use multiple variants of the classical benchmarks such as the L-shape domain. Therefore it is difficult to establish a fair comparison of the performance of the proposed formulations. This point becomes really an issue since we are now facing the challenging question of finding efficient numerical procedures to reduce the computational load related to these very large scale problem solution. Thus it comes that it is urgent to define reference benchmarks with clear geometrical and material data, boundary conditions and loadings. Based on our research expertise, we propose to define a set of reference test cases which will serve to assess the real performance of the novel contributions. Besides the many single load case problems, it is necessary to propose new benchmarks that put forward the specific character of the stress constrained designs. Indeed, it has been demonstrated that they may differ from strength designs whenever there are different behaviours in tension and compression, several materials, or geometrical constraints. Beyond the famous three-bar truss problem, we are also to draw new reference benchmarks under these conditions. Finally reference solutions will be presented for the proposed benchmarks to provide a first set of reference performance values.
Definition of reference test cases for stress constrained topology optimization
Bruggi M.
2017-01-01
Abstract
While topology optimization has mostly been based on compliance type formulations, industrial applications call for more elaborated design formulation including local stress constraints. Topology optimization with stress constraints initially considered in Duysinx & Bendsoe (1998) has taken benefit of several extensions, e.g. to consider non equal stress limits (Bruggi & Duysinx, 2013), global stress constraints (Duysinx & Sigmund, 1998), fatigue resistance (Collet et al. 2016) or Simultaneous Analysis and Design (SAND) Approach (Munro & Groenwold, 2016). Currently the topic is the subject of a growing number of research works. However a careful literature review reveals that the different works use multiple variants of the classical benchmarks such as the L-shape domain. Therefore it is difficult to establish a fair comparison of the performance of the proposed formulations. This point becomes really an issue since we are now facing the challenging question of finding efficient numerical procedures to reduce the computational load related to these very large scale problem solution. Thus it comes that it is urgent to define reference benchmarks with clear geometrical and material data, boundary conditions and loadings. Based on our research expertise, we propose to define a set of reference test cases which will serve to assess the real performance of the novel contributions. Besides the many single load case problems, it is necessary to propose new benchmarks that put forward the specific character of the stress constrained designs. Indeed, it has been demonstrated that they may differ from strength designs whenever there are different behaviours in tension and compression, several materials, or geometrical constraints. Beyond the famous three-bar truss problem, we are also to draw new reference benchmarks under these conditions. Finally reference solutions will be presented for the proposed benchmarks to provide a first set of reference performance values.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
