Compression performance of hollow structures: From topology optimisation to design 3D printing

Abstract In this work, we experimentally evaluate the rendering of topology optimisation through the design of hollow structures manufactured using a 3D printing technique. The moving asymptote method is used as a mathematical optimisation strategy to virtually minimise the volume of 2D designs subject to hydrostatic pressure by half. Designs are converted to 3D models by extrusion in the building direction and printed using the Fused Deposition Modelling technique. Compression testing up to densification is performed and designs are evaluated. The results show that extrusion of the design in the building direction provides the best option to avoid mechanical anisotropy induced by processing. Depending on the type and extent of excluded regions, mechanical performance proves to be adapted to a wide range of designs and different types of mechanical anisotropies can be derived. Comparison with finite element results shows differences in behaviour related to mechanical instabilities that occur as a result of the lack of inter-filament cohesion and external frame unsoldering.

[1]  Weiyin Ma,et al.  NURBS-based adaptive slicing for efficient rapid prototyping , 2004, Comput. Aided Des..

[2]  Bedrich Benes,et al.  Clever Support: Efficient Support Structure Generation for Digital Fabrication , 2014, Comput. Graph. Forum.

[3]  Rémy Glardon,et al.  Finite element and neural network models for process optimization in selective laser sintering , 2004 .

[4]  Xingming Xiao,et al.  Process parameter optimization for fused deposition modeling using response surface methodology combined with fuzzy inference system , 2014 .

[5]  Matthijs Langelaar,et al.  Topology optimization of 3D self-supporting structures for additive manufacturing , 2016 .

[6]  S. Guessasma,et al.  Anisotropic damage inferred to 3D printed polymers using fused deposition modelling and subject to severe compression , 2016 .

[7]  Jian Zhang,et al.  Multi-criteria GA-based Pareto optimization of building direction for rapid prototyping , 2013 .

[8]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[9]  P. M. Pandey,et al.  Optimal part deposition orientation in FDM by using a multicriteria genetic algorithm , 2004 .

[10]  Sofiane Guessasma,et al.  Comprehensive study of biopolymer foam compression up to densification using X-ray micro-tomography and finite element computation , 2016 .

[11]  Debasish Dutta,et al.  An accurate slicing procedure for layered manufacturing , 1996, Comput. Aided Des..

[12]  A. F. Silva,et al.  Fused deposition modeling with polypropylene , 2015 .

[13]  Ryan B. Wicker,et al.  Characterizing the effect of additives to ABS on the mechanical property anisotropy of specimens fabricated by material extrusion 3D printing , 2015 .

[14]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[15]  Martin Leary,et al.  Optimal topology for additive manufacture: A method for enabling additive manufacture of support-free optimal structures , 2014 .

[16]  David W. Rosen,et al.  Design for Additive Manufacturing: Past, Present, and Future Directions , 2014 .

[17]  Omar Ahmed Mohamed,et al.  Optimization of fused deposition modeling process parameters: a review of current research and future prospects , 2015, Advances in Manufacturing.

[18]  P. Wright,et al.  Anisotropic material properties of fused deposition modeling ABS , 2002 .

[19]  B. H. Lee,et al.  Optimization of rapid prototyping parameters for production of flexible ABS object , 2005 .

[20]  David W. Rosen,et al.  Design for Additive Manufacturing , 2015, Additive Manufacturing Technologies.

[21]  N. Venkata Reddy,et al.  Optimum part deposition orientation in fused deposition modeling , 2004 .

[22]  Seth Allen,et al.  Part orientation and build cost determination in layered manufacturing , 1998, Comput. Aided Des..

[23]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[24]  Sofiane Guessasma,et al.  Significance of pore percolation to drive anisotropic effects of 3D printed polymers revealed with X-ray μ-tomography and finite element computation , 2015 .

[25]  Han Tong Loh,et al.  Considerations and selection of optimal orientation for different rapid prototyping systems , 1999 .

[26]  Shih-Hsuan Chiu,et al.  Optimization of process parameters for dimensional accuracy in an area-forming rapid prototyping system using the Taguchi method , 2015 .

[27]  Michiel H. M. Smid,et al.  Minimizing the total projection of a set of vectors, with applications to layered manufacturing , 2003, Comput. Aided Des..

[28]  Jihong Zhu,et al.  Topology Optimization in Aircraft and Aerospace Structures Design , 2016 .

[29]  S. Arunachalam,et al.  Critical parameters influencing the quality of prototypes in fused deposition modelling , 2001 .

[30]  Nicolas Gardan,et al.  Topological optimization of internal patterns and support in additive manufacturing , 2015 .

[31]  B. J. Alvarez,et al.  Dimensional accuracy improvement of FDM square cross-section parts using artificial neural networks and an optimization algorithm , 2013 .

[32]  A. K. Sood,et al.  Parametric appraisal of mechanical property of fused deposition modelling processed parts , 2010 .

[33]  Philip Dickens,et al.  Implications on design of rapid manufacturing , 2003 .

[34]  Amit Kumar Singh,et al.  Numerical slicing and optimum hatching of parametric B-Rep solids in layered manufacturing , 2008, Int. J. Comput. Aided Eng. Technol..

[35]  S. Owen,et al.  An efficient and scalable approach for generating topologically optimized cellular structures for additive manufacturing , 2016 .

[36]  Omar Ahmed Mohamed,et al.  Mathematical modeling and FDM process parameters optimization using response surface methodology based on Q-optimal design , 2016 .

[37]  Richard M. Everson,et al.  A new approach to the design and optimisation of support structures in additive manufacturing , 2013 .