Dr Vivien Challis Foster
ARC Aust Postdoctoral Fellow
Mathematics
Honorary Research Fellow
School of Mathematics and Physics
+61 7 336 52302
Personal page
Journal Articles
Mehrpooya, Adel, Challis, Vivien J. and Buenzli, Pascal R. (2024). Random walk models for the propagation of signalling molecules in one-dimensional spatial networks and their continuum limit. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480 (2291) ARTN 20230906. doi: 10.1098/rspa.2023.0906
Moroney, Tim, Carr, Elliot, Yang, Qianqian, Challis, Vivien and Bunder, Judith (2023). Proceedings of the 2022 Computational Techniques and Applications Conference. ANZIAM Journal, 64. doi: 10.21914/anziamj.v64.17854
Wegert, Zachary J., Roberts, Anthony P. and Challis, Vivien J. (2023). A Hilbertian projection method for constrained level set-based topology optimisation. Structural and Multidisciplinary Optimization, 66 (9) 204. doi: 10.1007/s00158-023-03663-0
Challis, Vivien J., Xu, Xiaoxue, Halfpenny, Angela, Cramer, Andrew D., Saunders, Martin, Roberts, Anthony P. and Sercombe, T.B. (2023). Understanding the effect of microstructural texture on the anisotropic elastic properties of selective laser melted Ti-24Nb-4Zr-8Sn. Acta Materialia, 254 119021, 1-8. doi: 10.1016/j.actamat.2023.119021
Wegert, Zachary J., Roberts, Anthony P., Bandyopadhyay, Tirthankar and Challis, Vivien J. (2023). Optimisation of a multi-functional piezoelectric component for a climbing Robot. Materials, 16 (14) 5076, 1-20. doi: 10.3390/ma16145076
Wegert, Zachary J., Challis, Vivien J., Grotowski, Joseph F. and Roberts, Anthony P. (2022). Explaining the competition between strength and toughness in perforated plates using computational finite fracture mechanics. Theoretical and Applied Fracture Mechanics, 122 103615, 1-12. doi: 10.1016/j.tafmec.2022.103615
Wegert, Zachary J., Roberts, Anthony P. and Challis, Vivien J. (2022). Multi-objective structural optimisation of piezoelectric materials. International Journal of Solids and Structures, 248 111666, 111666. doi: 10.1016/j.ijsolstr.2022.111666
Wegert, Zachary James, Roberts, Anthony P. and Challis, Vivien J. (2021). Novel properties of multi-poled piezoelectric network structures. Smart Materials and Structures, 30 (10) 105016, 105016. doi: 10.1088/1361-665x/ac1c1b
Challis, V.J., Cramer, A.D. and Roberts, A.P. (2019). An optimised family of anisotropic microstructures with application to functionally graded materials. International Journal of Solids and Structures, 171, 17-29. doi: 10.1016/j.ijsolstr.2019.05.009
Cramer, Andrew D. , Challis, Vivien J. and Roberts, Anthony P. (2017). Physically realizable three-dimensional bone prosthesis design with interpolated microstructures. Journal of Biomechanical Engineering, 139 (3) 031013, 031013. doi: 10.1115/1.4035481
Cramer, Andrew D., Challis, Vivien J. and Roberts, Anthony P. (2015). Microstructure interpolation for macroscopic design. Structural and Multidisciplinary Optimization, 53 (3), 1-12. doi: 10.1007/s00158-015-1344-7
Sercombe, Timothy B., Xu, Xiaoxue, Challis, V. J., Green, Richard, Yue, Sheng, Zhang, Ziyu and Lee, Peter D. (2015). Failure modes in high strength and stiffness to weight scaffolds produced by Selective Laser Melting. Materials and Design, 67, 501-508. doi: 10.1016/j.matdes.2014.10.063
Challis, Vivien J., Xu, Xiaoxue, Zhang, Lai Chang, Roberts, Anthony P., Grotowski, Joseph F. and Sercombe, Timothy B. (2014). High specific strength and stiffness structures produced using selective laser melting. Materials & Design, 63, 783-788. doi: 10.1016/j.matdes.2014.05.064
Challis, Vivien J., Roberts, Anthony P. and Grotowski, Joseph F. (2014). High resolution topology optimization using graphics processing units (GPUs). Structural and Multidisciplinary Optimization, 49 (2), 315-325. doi: 10.1007/s00158-013-0980-z
Challis, Vivien J., Guest, James K., Grotowski, Joseph F. and Roberts, Anthony P. (2012). Computationally generated cross-property bounds for stiffness and fluid permeability using topology optimization. International Journal of Solids And Structures, 49 (23-24), 3397-3408. doi: 10.1016/j.ijsolstr.2012.07.019
Roberts, A. P., Grayson, G., Challis, V. J., Zhang, L. C., Grotowski, J. F., Schaffer, G. B. and Sercombe, T. B. (2011). Elastic moduli of sintered powders with application to components fabricated using selective laser melting. Acta Materialia, 59 (13), 5257-5265. doi: 10.1016/j.actamat.2011.05.002
Greenland, K. B., Edwards, M. J., Hutton, N. J., Challis, V. J., Irwin, M. G. and Sleigh, J. W. (2011). Two curves theory does not clearly explain laryngoscopy and intubation: Reply from the authors. British Journal of Anaesthesia, 106 (6), 910-911. doi: 10.1093/bja/aer138
Greenland, K. B., Edwards, M. J., Hutton, N. J., Challis, V. J., Irwin, M. G. and Sleigh, J. W. (2010). Changes in airway configuration with different head and neck positions using magnetic resonance imaging of normal airways: a new concept with possible clinical applications. British Journal of Anaesthesia, 105 (5), 683-690. doi: 10.1093/bja/aeq239
Challis, VJ, Roberts, AP, Grotowski, JF, Zhang, LC and Sercombe, TB (2010). Prototypes for bone implant scaffolds designed via topology optimization and manufactured by solid freeform fabrication. Advanced Engineering Materials, 12 (11), 1106-1110. doi: 10.1002/adem.201000154
Challis, Vivien (2010). A discrete level-set topology optimization code written in Matlab. Structural and Multidisciplinary Optimization, 41 (3), 453-464. doi: 10.1007/s00158-009-0430-0
Challis, Vivien J. and Guest, James K (2009). Level set topology optimization of fluids in Stokes flow. International Journal for Numerical Methods in Engineering, 79 (10), 1284-1308. doi: 10.1002/nme.2616
Challis, Vivien J., Roberts, Anthony P. and Wilkins, Andrew H. (2008). Fracture resistance via topology optimization. Structural and Multidisciplinary Optimization, 36 (3), 263-271. doi: 10.1007/s00158-007-0160-0
Challis, V. J., Roberts, A. P. and Wilkins, A. H. (2008). Design of three dimensional isotropic microstructures for maximized stiffness and conductivity. International Journal of Solids and Structures, 45 (14-15), 4130-4146. doi: 10.1016/j.ijsolstr.2008.02.025
Hegland, Markus, Garcke, Jochen and Challis, Vivien (2007). The combination technique and some generalisations. Linear Algebra and Its Applications, 420 (2-3), 249-275. doi: 10.1016/j.laa.2006.07.014
Conference Papers
Challis, Vivien, Cook, Roger and Anand, Pranit (2021). Priming Numbas for formative assessment in a first-year mathematics unit. ASCILITE 2021, Armidale, NSW Australia, 29 November - 1 December 2021. Armidale, NSW Australia: University of New England. doi: 10.14742/ascilite2021.0145
Russell, Ken, Cerone, Pietro and Challis, Vivien (2008). Calculation of a risk measure for the net system load profile. Mathematics In Industry Study Group 2007, Wollongong, Australia, 5-9 February, 2007. Wollongong, Australia: Mathematics and Statistics in Industry Study Group, School of Mathematics and Applied Statistics, University of Wollongong.
Challis, V. J., Roberts, A. P. and Wilkins, A. H. (2007). Optimal bone implants and cermets. 7th World Congress on Structural and Multidisciplinary Optimization, Seoul, Korea, 21-25 May, 2007. International Society for Structural and Multidisciplinary Optimization.
Wilkins, A. H., Challis, V. J. and Roberts, A. P. (2007). Isotropic, stiff, conducting structures via topology optimisation. 7th World Congress on Structural and Multidisciplinary Optimization, Seoul, Korea, 21-25 May, 2007.
Thesis
Vivien Joy Challis (2009). Multi-Property Topology Optimisation with the Level-Set Method. PhD Thesis, School of Mathematics & Physics, The University of Queensland.