This paper aims to demonstrate the final result of an optimization process
when a smooth techniqu... more This paper aims to demonstrate the final result of an optimization process when a smooth technique is introduced between intermediary iterations of a topological optimization. In a topological optimization process is usual irregular boundary results as the final shape. This boundary irregularity occurs when the way of the material is removed is not very suitable. Avoiding an optimization postprocessing procedure some techniques of smooth are implemented in the original optimization code. In order to attain a regular boundary a smoothness technique is employed, which is, Bezier curves. An algorithm was also developed to detect during the optimization process which curve of the intermediary topology must be smoothed. For the purpose of dealing with non-isotropic materials a linear coordinate transformation was implemented. Afterwards, some cases are compared and discussed.
The objective of this work is to present the application of a hard-kill material removal algorith... more The objective of this work is to present the application of a hard-kill material removal algorithm for topology optimization of heat transfer problems containing localized sources. The boundary element method is used to solve the governing equations. A topological-shape sensitivity approach is used to select the points showing the lowest sensitivities, where material is removed by opening a cavity. As the iterative process evolutes, the original domain has holes progressively punched out, until a given stop criteria is achieved. Both isotropic and orthotropic two-dimensional benchmarks are presented and analyzed. Because the BEM does not employ domain meshes in linear cases, the resulting topologies are completely devoid of intermediary material densities. Although the drawbacks of hard-kill methods are still present, the approach opens an interesting field of investigation for integral equation methods.
The objective of this work is to present the implementation of a topologicalshape sensitivity for... more The objective of this work is to present the implementation of a topologicalshape sensitivity formulation in a BEM analysis for simultaneous heat and mass transfer optimization problems. The proposed approach uses a topological derivative in order to estimate the sensitivity to create a hole in the domain of the problem. Thus, it is evaluated at internal points, and the ones showing the lowest values are used to remove material by opening a circular cavity. As the iterative process evolves, the original domain has holes progressively punched out until a given stop criteria is achieved. Since the sensitivities for each of the differential equations are different, a penalizationtype approach has been used to weight the sensitivities associated to each problem. This allows the imposition of distinct penalization factors for each problem, according to specified priorities. The results obtained showed good agreement with solutions available in the literature.
International Journal of Heat and Mass Transfer, 2009
The objective of this work is to present the application of a hard-kill material removal algorith... more The objective of this work is to present the application of a hard-kill material removal algorithm for topology optimization of heat transfer problems containing localized sources. The boundary element method is used to solve the governing equations. A topological-shape sensitivity approach is used to select the points showing the lowest sensitivities, where material is removed by opening a cavity. As
This paper aims to demonstrate the final result of an optimization process
when a smooth techniqu... more This paper aims to demonstrate the final result of an optimization process when a smooth technique is introduced between intermediary iterations of a topological optimization. In a topological optimization process is usual irregular boundary results as the final shape. This boundary irregularity occurs when the way of the material is removed is not very suitable. Avoiding an optimization postprocessing procedure some techniques of smooth are implemented in the original optimization code. In order to attain a regular boundary a smoothness technique is employed, which is, Bezier curves. An algorithm was also developed to detect during the optimization process which curve of the intermediary topology must be smoothed. For the purpose of dealing with non-isotropic materials a linear coordinate transformation was implemented. Afterwards, some cases are compared and discussed.
The objective of this work is to present the application of a hard-kill material removal algorith... more The objective of this work is to present the application of a hard-kill material removal algorithm for topology optimization of heat transfer problems containing localized sources. The boundary element method is used to solve the governing equations. A topological-shape sensitivity approach is used to select the points showing the lowest sensitivities, where material is removed by opening a cavity. As the iterative process evolutes, the original domain has holes progressively punched out, until a given stop criteria is achieved. Both isotropic and orthotropic two-dimensional benchmarks are presented and analyzed. Because the BEM does not employ domain meshes in linear cases, the resulting topologies are completely devoid of intermediary material densities. Although the drawbacks of hard-kill methods are still present, the approach opens an interesting field of investigation for integral equation methods.
The objective of this work is to present the implementation of a topologicalshape sensitivity for... more The objective of this work is to present the implementation of a topologicalshape sensitivity formulation in a BEM analysis for simultaneous heat and mass transfer optimization problems. The proposed approach uses a topological derivative in order to estimate the sensitivity to create a hole in the domain of the problem. Thus, it is evaluated at internal points, and the ones showing the lowest values are used to remove material by opening a circular cavity. As the iterative process evolves, the original domain has holes progressively punched out until a given stop criteria is achieved. Since the sensitivities for each of the differential equations are different, a penalizationtype approach has been used to weight the sensitivities associated to each problem. This allows the imposition of distinct penalization factors for each problem, according to specified priorities. The results obtained showed good agreement with solutions available in the literature.
International Journal of Heat and Mass Transfer, 2009
The objective of this work is to present the application of a hard-kill material removal algorith... more The objective of this work is to present the application of a hard-kill material removal algorithm for topology optimization of heat transfer problems containing localized sources. The boundary element method is used to solve the governing equations. A topological-shape sensitivity approach is used to select the points showing the lowest sensitivities, where material is removed by opening a cavity. As
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Papers by Carla Anflor
when a smooth technique is introduced between intermediary iterations of a
topological optimization. In a topological optimization process is usual irregular
boundary results as the final shape. This boundary irregularity occurs when the
way of the material is removed is not very suitable. Avoiding an optimization postprocessing
procedure some techniques of smooth are implemented in the original
optimization code. In order to attain a regular boundary a smoothness technique
is employed, which is, Bezier curves. An algorithm was also developed to detect
during the optimization process which curve of the intermediary topology must be
smoothed. For the purpose of dealing with non-isotropic materials a linear coordinate
transformation was implemented. Afterwards, some cases are compared and
discussed.
select the points showing the lowest sensitivities, where material is removed by opening a cavity. As the iterative process evolutes, the original domain has holes progressively punched out, until a given stop criteria is achieved. Both isotropic and orthotropic two-dimensional benchmarks are presented and analyzed. Because the BEM does not employ domain meshes in linear cases, the resulting topologies are completely devoid of intermediary material densities. Although the drawbacks of hard-kill methods are still present, the approach opens an interesting field of investigation for integral equation methods.
progressively punched out until a given stop criteria is achieved. Since the sensitivities for each of the differential equations are different, a penalizationtype approach has been used to weight the sensitivities associated to each problem. This allows the imposition of distinct penalization factors for each problem, according to specified priorities. The results obtained showed good agreement with solutions available in the literature.
when a smooth technique is introduced between intermediary iterations of a
topological optimization. In a topological optimization process is usual irregular
boundary results as the final shape. This boundary irregularity occurs when the
way of the material is removed is not very suitable. Avoiding an optimization postprocessing
procedure some techniques of smooth are implemented in the original
optimization code. In order to attain a regular boundary a smoothness technique
is employed, which is, Bezier curves. An algorithm was also developed to detect
during the optimization process which curve of the intermediary topology must be
smoothed. For the purpose of dealing with non-isotropic materials a linear coordinate
transformation was implemented. Afterwards, some cases are compared and
discussed.
select the points showing the lowest sensitivities, where material is removed by opening a cavity. As the iterative process evolutes, the original domain has holes progressively punched out, until a given stop criteria is achieved. Both isotropic and orthotropic two-dimensional benchmarks are presented and analyzed. Because the BEM does not employ domain meshes in linear cases, the resulting topologies are completely devoid of intermediary material densities. Although the drawbacks of hard-kill methods are still present, the approach opens an interesting field of investigation for integral equation methods.
progressively punched out until a given stop criteria is achieved. Since the sensitivities for each of the differential equations are different, a penalizationtype approach has been used to weight the sensitivities associated to each problem. This allows the imposition of distinct penalization factors for each problem, according to specified priorities. The results obtained showed good agreement with solutions available in the literature.