Finite cell method for functionally graded materials based on V-models and homogenized microstructures

Wassermann, Benjamin; Korshunova, Nina; Kollmannsberger, Stefan; Rank, Ernst; Elber, Gershon

doi:10.1186/s40323-020-00182-1

Cited by 7 publications

(6 citation statements)

References 76 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[15,26]) and for various other applications have been extensively investigated for a variety of geometric representations, e.g. [27][28][29][30]. The basics of the FCM within the context of linear elastic problems are summarized below.…”

Section: Local-scale Modelmentioning

confidence: 99%

Two-scale analysis and design of spaceframes with complex additive manufactured nodes

Oztoprak¹,

Paolini²,

D’Acunto³

et al. 2023

Preprint

View full text Add to dashboard Cite

The advancements in additive manufacturing (AM) technology have allowed for the production of geometrically complex parts with customizable designs. This versatility benefits large-scale spaceframe structures, as the individual design of each structural node can be tailored to meet specific mechanical and other functional requirements. To this end, however, the design and analysis of such space-frames with distinct structural nodes needs to be highly automated. A critical aspect in this context is automated integration of the local 3D features into the 1D large-scale models. In the present work, a two-scale modeling approach is developed to improve the design and linear-elastic analysis of space frames with complex additively manufactured nodes. The mechanical characteristics of the 3D nodes are numerically reduced through an automated dimensional reduction process based on the Finite Cell Method (FCM) and substructuring. The reduced stiffness quantities are assembled in the large-scale 1D model which, in turn, enables efficient structural analysis. The response of the 1D model is passed on to the local model, enabling fully resolved 3D linear-elastic analysis. The proposed approach is numerically verified on a simplified beam example. Furthermore, the workflow is demonstrated on a tree canopy structure with additively manufactured nodes with bolted connections. The form of the large-scale structure is found based on the Combinatorial Equilibrium Modeling framework, and the different designs of the local structural nodes are based on generative exploration of the design space. It is demonstrated that the proposed methodology effectively automates the design and analysis of space-frame structures with complex, distinct structural nodes.

show abstract

Section: Local-scale Modelmentioning

confidence: 99%

Two-scale analysis and design of spaceframes with complex additive manufactured nodes

Oztoprak¹,

Paolini²,

D’Acunto³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…A 3D model can also be derived from the printing path utilizing a segment-wise sweep (assuming that the filament is deposited uniformly). It can be used for more sophisticated 3D geometry analysis and mechanical simulations for preliminary performance checks (Wassermann et al 2020).…”

Section: Information Gap Between Bim and Fabricationmentioning

confidence: 99%

Fabrication information modeling: interfacing building information modeling with digital fabrication

2022

View full text Add to dashboard Cite

Digital manufacturing methods have been successfully used in different industries for years and have since had a positive effect on the development of their productivity. These methods offer significantly greater design freedom and make it possible to develop shape-optimized and function-activated components. In the construction industry, however, these technologies are only being used reluctantly, even though additive methods could make resource-efficient construction possible. The possibly decisive disadvantage of these methods is that a significantly higher granularity of product and process information is required, thus significantly increasing the planning effort. A circumstance that the framework described in this study, fabrication information modeling (FIM), could significantly mitigate by linking digital fabrication and BIM-based digital building design via a digital chain. For this purpose, FIM provides a methodology with which the information of a digital building model can be detailed, component by component, in a fabrication-aware manner. Based on the open exchange data format IFC, the FIM framework integrates seamlessly into the BIM context and enables automated detailing of the design information.

show abstract

“…It utilizes elliptic partial differential equations (PDEs) and modifies the design space to have a variety of unit volumes that handles extreme geometric complexity. The approach is superior to B-rep modelling in terms of geometric complexity handling [100] and can be adapted for simulation purposes easier [101]. However, it suffers from a similar issue with B-rep: while in B-rep two surfaces collide by an edge or a group of edges, in V-rep two volumes collide by a surface or a group of surfaces.…”

Section: Fig 14 a Mesh Of Non-convex Geometrymentioning

confidence: 99%

“…21, V-rep modelling mentioned in Subsection 2.2 allows defining V-cells with the same topology but with different parameters, both internal (such as the strut diameter) and external (such as the V-cell transformation matrix). The topology itself must be properly defined, as well as all the parameters that are supposed to change throughout the whole structure [100]. This can prove difficult for many non-strut-based topologies such as triply periodic minimal surfaces.…”

Section: Challenges In Geometric Modelling Of Heterogeneous Lattice S...mentioning

confidence: 99%

Challenges and Opportunities in Geometric Modeling of Complex Bio-Inspired Three-Dimensional Objects Designed for Additive Manufacturing

Letov

Velivela

Sun

et al. 2021

Journal of Mechanical Design

View full text Add to dashboard Cite

Ever since its introduction over five decades ago, geometric solid modelling has been crucial for engineering design purposes and is used in engineering software packages such as computer-aided design (CAD), computer-aided manufacturing (CAM), computer-aided engineering (CAE), etc. Solid models produced by CAD software have been used to transfer geometric information from designers to manufacturers. Since the emergence of additive manufacturing (AM), a CAD file can also be directly uploaded to a three-dimensional (3D) printer and used for production. AM techniques allow manufacturing of complex geometric objects such as bio-inspired structures and lattice structures. These structures are shapes inspired by nature and periodical geometric shapes consisting of struts interconnecting in nodes. Both structures have unique properties such as significantly reduced weight. However, geometric modelling of such structures has significant challenges due to the inability of current techniques to handle their geometric complexity. This calls for a novel modelling method that would allow engineers to design complex geometric objects. This survey paper reviews geometric modelling methods of complex structures to support bio-inspired design created for AM which includes discussing reasoning behind bio-inspired design, limitations of current modelling approaches applied to bio-inspired structures, challenges encountered with geometric modelling and opportunities that these challenges reveal. Based on the review, a need for a novel geometric modelling method for bio-inspired geometries produced by AM is identified. A framework for such bio-inspired geometric modelling method is proposed as a part of this work.

show abstract

Finite cell method for functionally graded materials based on V-models and homogenized microstructures

Cited by 7 publications

References 76 publications

Two-scale analysis and design of spaceframes with complex additive manufactured nodes

Two-scale analysis and design of spaceframes with complex additive manufactured nodes

Fabrication information modeling: interfacing building information modeling with digital fabrication

Challenges and Opportunities in Geometric Modeling of Complex Bio-Inspired Three-Dimensional Objects Designed for Additive Manufacturing

Contact Info

Product

Resources

About