Optimized manufacturable porous materials

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Abstract

Topology optimization has been used to design two-dimensional material structures with specific elastic properties, but optimized designs of three-dimensional material structures are more scarsely seen. Partly because it requires more computational power, and partly because it is a major challenge to include manufacturing constraints in the optimization.
This work focuses on incorporating the manufacturability into the optimization procedure, allowing the resulting material structure to be manufactured directly using rapid manufacturing techniques, such as selective laser melting/sintering (SLM/S). The available manufacturing methods are best suited for porous materials (one constituent and
void), but the optimization procedure can easily include more constituents.
The elasticity tensor is found from one unit cell using the homogenization method together with a standard finite element (FE) discretization. The distribution of the material in the unit cell is optimized according to a given objective (e.g. maximum bulk modulus or minimum Poisson’s ratio) and some given constraints (e.g. isotropy) using topology optimization. The manufacturability is achieved using various filtering techniques together with a stochastic approach, where the mean performance of several slightly different designs is optimized. In most cases this assures a minimum length
scale for the intermediate design, and thereby manufacturability is achieved.
Furthermore, the study will look at how "negative" aspects of the manufacturing method can be exploited to achieve exotic material properties. An example of this is how the SLM/S causes softer regions in the structure due to insufficient heating of the metal powder. If the goal is to design a material, which to some degree is compliant, such as negative Poisson’s ratio material, softer regions are desirable. Another example is closedcell materials, e.g. maximum bulk modulus material, where the cells will be filled by metal powder if manufactured using SLM/S. This is considered as a drawback, because
it makes the structure heavier. However, it also drastically increases the damping ratio of the structure, which is beneficial in many applications.
Original languageEnglish
Publication date2012
Publication statusPublished - 2012
EventAPM 2012 Advanved Problems in Mechanics - Saint Petersburg, Russian Federation
Duration: 4 Jul 20126 Jul 2012

Conference

ConferenceAPM 2012 Advanved Problems in Mechanics
CountryRussian Federation
CitySaint Petersburg
Period04/07/201206/07/2012

Bibliographical note

Presented in the workshop "Exotic Structures and Homogenization" at the conference.

Cite this

Andreassen, E., Andreasen, C. S., Jensen, J. S., & Sigmund, O. (2012). Optimized manufacturable porous materials. Abstract from APM 2012 Advanved Problems in Mechanics, Saint Petersburg, Russian Federation.
Andreassen, Erik ; Andreasen, Casper Schousboe ; Jensen, Jakob Søndergaard ; Sigmund, Ole. / Optimized manufacturable porous materials. Abstract from APM 2012 Advanved Problems in Mechanics, Saint Petersburg, Russian Federation.
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Andreassen, E, Andreasen, CS, Jensen, JS & Sigmund, O 2012, 'Optimized manufacturable porous materials' APM 2012 Advanved Problems in Mechanics, Saint Petersburg, Russian Federation, 04/07/2012 - 06/07/2012, .

Optimized manufacturable porous materials. / Andreassen, Erik; Andreasen, Casper Schousboe; Jensen, Jakob Søndergaard; Sigmund, Ole.

2012. Abstract from APM 2012 Advanved Problems in Mechanics, Saint Petersburg, Russian Federation.

Research output: Contribution to conferenceConference abstract for conferenceResearch

TY - ABST

T1 - Optimized manufacturable porous materials

AU - Andreassen, Erik

AU - Andreasen, Casper Schousboe

AU - Jensen, Jakob Søndergaard

AU - Sigmund, Ole

N1 - Presented in the workshop "Exotic Structures and Homogenization" at the conference.

PY - 2012

Y1 - 2012

N2 - Topology optimization has been used to design two-dimensional material structures with specific elastic properties, but optimized designs of three-dimensional material structures are more scarsely seen. Partly because it requires more computational power, and partly because it is a major challenge to include manufacturing constraints in the optimization.This work focuses on incorporating the manufacturability into the optimization procedure, allowing the resulting material structure to be manufactured directly using rapid manufacturing techniques, such as selective laser melting/sintering (SLM/S). The available manufacturing methods are best suited for porous materials (one constituent andvoid), but the optimization procedure can easily include more constituents.The elasticity tensor is found from one unit cell using the homogenization method together with a standard finite element (FE) discretization. The distribution of the material in the unit cell is optimized according to a given objective (e.g. maximum bulk modulus or minimum Poisson’s ratio) and some given constraints (e.g. isotropy) using topology optimization. The manufacturability is achieved using various filtering techniques together with a stochastic approach, where the mean performance of several slightly different designs is optimized. In most cases this assures a minimum lengthscale for the intermediate design, and thereby manufacturability is achieved.Furthermore, the study will look at how "negative" aspects of the manufacturing method can be exploited to achieve exotic material properties. An example of this is how the SLM/S causes softer regions in the structure due to insufficient heating of the metal powder. If the goal is to design a material, which to some degree is compliant, such as negative Poisson’s ratio material, softer regions are desirable. Another example is closedcell materials, e.g. maximum bulk modulus material, where the cells will be filled by metal powder if manufactured using SLM/S. This is considered as a drawback, becauseit makes the structure heavier. However, it also drastically increases the damping ratio of the structure, which is beneficial in many applications.

AB - Topology optimization has been used to design two-dimensional material structures with specific elastic properties, but optimized designs of three-dimensional material structures are more scarsely seen. Partly because it requires more computational power, and partly because it is a major challenge to include manufacturing constraints in the optimization.This work focuses on incorporating the manufacturability into the optimization procedure, allowing the resulting material structure to be manufactured directly using rapid manufacturing techniques, such as selective laser melting/sintering (SLM/S). The available manufacturing methods are best suited for porous materials (one constituent andvoid), but the optimization procedure can easily include more constituents.The elasticity tensor is found from one unit cell using the homogenization method together with a standard finite element (FE) discretization. The distribution of the material in the unit cell is optimized according to a given objective (e.g. maximum bulk modulus or minimum Poisson’s ratio) and some given constraints (e.g. isotropy) using topology optimization. The manufacturability is achieved using various filtering techniques together with a stochastic approach, where the mean performance of several slightly different designs is optimized. In most cases this assures a minimum lengthscale for the intermediate design, and thereby manufacturability is achieved.Furthermore, the study will look at how "negative" aspects of the manufacturing method can be exploited to achieve exotic material properties. An example of this is how the SLM/S causes softer regions in the structure due to insufficient heating of the metal powder. If the goal is to design a material, which to some degree is compliant, such as negative Poisson’s ratio material, softer regions are desirable. Another example is closedcell materials, e.g. maximum bulk modulus material, where the cells will be filled by metal powder if manufactured using SLM/S. This is considered as a drawback, becauseit makes the structure heavier. However, it also drastically increases the damping ratio of the structure, which is beneficial in many applications.

M3 - Conference abstract for conference

ER -

Andreassen E, Andreasen CS, Jensen JS, Sigmund O. Optimized manufacturable porous materials. 2012. Abstract from APM 2012 Advanved Problems in Mechanics, Saint Petersburg, Russian Federation.