CSMLab for computational mechanics and design in Cambridge

Papers in Reviewed Journals

K. Koh, D. Toshniwal and F. Cirak. An optimally convergent smooth blended B-spline construction for unstructured quadrilateral and hexahedral meshes. Submitted for publication, 2021. Link to the arxiv preprint.
J. Povala, I. Kazlauskaite, E. Febrianto, F. Cirak and M. Girolami. Variational Bayesian approximation of inverse problems using sparse precision matrices. Submitted for publication, 2021. Link to the arxiv preprint.
E. Febrianto, L. Butler, M. Girolami, F. Cirak. A self-sensing digital twin of a railway bridge using the statistical finite element method. Submitted for publication, 2021. Link to the arxiv preprint.
S. Herath, X. Xiao and F. Cirak. Computational modelling and data‐driven homogenisation of knitted membranes. International Journal for Numerical Methods in Engineering, In press, 2021. Link to the arxiv preprint.
X. Xiao and F. Cirak. Infill topology and shape optimisation of lattice-skin structures. International Journal for Numerical Methods in Engineering, In press, 2021. Link to the arxiv preprint.
M. Girolami, E. Febrianto, G. Yin and F. Cirak. The statistical finite element method (statFEM) for coherent synthesis of observation data and model predictions. Computer Methods in Applied Mechanics and Engineering, 375, 113533, 2021. Link to the arxiv preprint.
E. Febrianto, M. Ortiz and F. Cirak. Mollified finite element approximants of arbitrary order and smoothness. Computer Methods in Applied Mechanics and Engineering, 373, 113513, 2021. Link to the arxiv preprint.
G. Yin, X. Xiao and F. Cirak. Topologically robust CAD model generation for structural optimisation. Computer Methods in Applied Mechanics and Engineering, 369, 2020. Link to the arxiv preprint.
Q. Zhang and F. Cirak. Manifold-based isogeometric analysis basis functions with prescribed sharp features. Computer Methods in Applied Mechanics and Engineering, 359, 112659, 2020. Link to the arxiv preprint.
F. Cirak and M. Sabin. Adding quadric fillets to quador lattice structures. Computer-Aided Design, 118, 102754, 2020. Link to the arxiv preprint.
X. Xiao, L. Buse and F. Cirak. A non-iterative method for robustly computing the intersections between a line and a curve or surface. International Journal for Numerical Methods in Engineering, 120:382–390, 2019. Link to the arxiv preprint.
H. Xiao, E. Febrianto, Q. Zhang and F. Cirak. An Immersed discontinuous Galerkin method for compressible Navier-Stokes equations on unstructured meshes. International Journal for Numerical Methods in Engineering, In press, 2019. Link to the arxiv preprint.
X. Xiao, M. Sabin and F. Cirak. Interrogation of spline surfaces with application to isogeometric design and analysis of lattice-skin structures. Computer Methods in Applied Mechanics and Engineering, 351:928–950, 2019. Link to the arxiv preprint.
Q. Zhang, M. Sabin and F. Cirak. Subdivision surfaces with isogeometric analysis adapted refinement weights. Computer-Aided Design, 102:104–114, 2018. Link to the arxiv preprint. Link to the published version.
Z. Liu, M. Majeed, F. Cirak and R. Simpson. Isogeometric FEM-BEM coupled structural-acoustic analysis of shells using subdivision surfaces. International Journal for Numerical Methods in Engineering, 113:1507–1530, 2018. Link to the arxiv preprint. Link to the published version.
K. Bandara and F. Cirak. Isogeometric shape optimisation of shell structures using multiresolution subdivision surfaces. Computer-Aided Design, 95:62–71, 2018. Link to the arxiv preprint. Link to the published version.
M. Majeed and F. Cirak. Isogeometric analysis using manifold-based smooth basis functions. Computer Methods in Applied Mechanics and Engineering, 316:547–567, 2017. Link to the arxiv preprint. Link to the published version.
T. Rüberg, F. Cirak and J.M. Garcia-Aznar. An unstructured immersed finite element method for nonlinear solid mechanics. Advanced Modeling and Simulation in Engineering Sciences, 2016. Link to the Open Access article.
K. Bandara, T. Rüberg and F. Cirak. Shape optimisation with multiresolution subdivision surfaces and immersed finite elements. Computer Methods in Applied Mechanics and Engineering, 300:510–539, 2016. Link to the Open Access article.
J. Sistek and F. Cirak. Parallel iterative solution of the incompressible Navier-Stokes equations with application to rotating wings. Computers & Fluids, 122:165–183 2015. Link to the Open Access article.
K. Bandara, F. Cirak, G. Of, O. Steinbach and J. Zapletal. Boundary element based multiresolution shape optimisation in electrostatics. Journal of Computational Physics, 297: 584–598, 2015. Link to the Open Access article.
T. Rüberg and F. Cirak. A fixed-grid b-spline finite element technique for fluid-structure interaction. International Journal for Numerical Methods in Fluids, 74(9): 623–660, 2014. Download PDF of draft.
F. Cirak, Q. Long, K. Bhattacharya and M. Warner. Computational analysis of liquid crystalline elastomer membranes: changing Gaussian curvature without stretch energy. International Journal of Solids and Structures, 51(1): 144–153, 2014. Download PDF of draft.
R.M.J. Kramer, F. Cirak and C. Pantano. Fluid-structure interaction simulations of a tension-cone inflatable aerodynamics decelerator for atmospheric entry. AIAA Journal, 51(7): 1640–1656, 2013. Download PDF of draft.
V. Kolar, J. Sistek, F. Cirak and P. Moses. Average corotation of line segments near a point and vortex identification. AIAA Journal, 51(11): 26782678-26942694, 2013. Download PDF of draft.
P.B. Bornemann and F. Cirak. A subdivision-based implementation of the hierarchical b-spline finite element method. Computer Methods in Applied Mechanics and Engineering, 253:584–598, 2013. Download PDF of draft.
T. Rüberg and F. Cirak. Subdivision-stabilised immersed b-spline finite elements for moving boundary flows. Computer Methods in Applied Mechanics and Engineering, 209–212:266–283, 2012. Download PDF of draft.
Q. Long, P.B. Bornemann and F. Cirak. Shear-flexible subdivision shells. International Journal for Numerical Methods in Engineering, 90(13):1549–1577, 2012. Download PDF of draft.
F. Cirak and Q. Long. Subdivision shells with exact boundary control and non-manifold geometry. International Journal for Numerical Methods in Engineering, 88(9):897–923, 2011. Download PDF of draft.
R.A.K. Sanches, P.B. Bornemann and F. Cirak. Immersed b-spline (i-spline) finite element method for geometrically complex domains. Computer Methods in Applied Mechanics and Engineering, 200(13-16):1432–1445, 2011. Download PDF of draft.
T. Rüberg and F. Cirak. An immersed finite element method with integral equation correction. International Journal for Numerical Methods in Engineering, 86(1):93–114, 2011. Download PDF of draft.
K. Karagiozis, R. Kamakoti, F. Cirak and C. Pantano. A computational study of supersonic disk-gap-band parachutes using large-eddy simulation coupled to a structural membrane. Journal of Fluids and Structures, 27(2):175–192, 2011. Download PDF.
J. Mosler and F. Cirak. A variational formulation for finite deformation wrinkling analysis of inelastic membranes. Computer Methods in Applied Mechanics and Engineering, 198(27-29):2087–2098, 2009. Download PDF of draft.
F. Cirak and J.C. Cummings. Generic programming techniques for parallelizing and extending procedural finite element programms. Engineering with Computers, 24(1):1-16, 2008. Download PDF of draft.
F. Cirak, R. Deiterding and S.P Mauch. Large-scale fluid-structure interaction simulation of viscoplastic and fracturing thin-shells subjected to shocks and detonations. Computers & Structures, 85(11-14):1049:1065, 2007. Download PDF of draft.
R. Deiterding, F. Cirak, S.P. Mauch and D.I. Meiron. A virtual test facility for simulating detonation-induced fracture of thin flexible shells. Lecture Notes in Computer Science, 3992:122–130, 2006. Download PDF of draft.
F. Cirak and M. West. Decomposition-based contact response (DCR) for explicit finite element dynamics. International Journal for Numerical Methods in Engineering, 64(8):1078-1110, 2005. Download PDF of draft.
F. Cirak, M. Ortiz, and A. Pandolfi. A cohesive approach to thin-shell fracture and fragmentation. Computer Methods in Applied Mechanics and Engineering, 194(21-24):2604–2618, 2005. Download PDF of draft.
F. Cirak and R. Radovitzky. A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets. Computers & Structures, 83:491–498, 2005. Download PDF of draft.
F. Cirak, J.E. Cisternas, A.M. Cuitino, G. Ertl, P. Holmes, I.G. Kevrekidis, M. Ortiz, H.H. Rotermund, M. Schunack, and J. Wolff. Oscillatory thermomechanical instability of an ultrathin catalyst. Science, 300:1932–1936, 2003. Download PDF.
F. Cirak, M.J. Scott, E.K. Antonsson, M. Ortiz, and P. Schröder. Integrated modeling, finite-element analysis and engineering design for thin-shell structures using subdivision. Computer-Aided Design, 34(2):137–148, 2002. Download PDF of draft.
F. Cirak and M. Ortiz. Fully C¹-conforming subdivision elements for finite deformation thin-shell analysis. International Journal for Numerical Methods in Engineering, 51(7):813–833, 2001. Download PDF of draft.
F. Cirak, M. Ortiz, and P. Schröder. Subdivision surfaces: A new paradigm for thin-shell finite-element analysis. International Journal for Numerical Methods in Engineering, 47(12):2039–2072, 2000. Download PDF of draft.
F. Cirak and E. Ramm. A-posteriori error estimation and adaptivity for nonlinear problems using the reciprocal theorem. International Journal for Numerical Methods in Engineering, 47:379–393, 2000. Download PDF of draft.
F. Cirak and E. Ramm. A-posteriori error estimation and adaptivity for the finite-element-method using duality principles. ZAMM, 79:139–142, 1999. Download PDF of draft.
F. Cirak and E. Ramm. A-posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem. Computer Methods in Applied Mechanics and Engineering, 156:351–362, 1998. Download PDF of draft.

Theses

F. Cirak. Adaptive finite-element-methods for nonlinear analysis of thin-walled structures. In German. Ph.D. thesis, Institute for Structural Mechanics, University of Stuttgart, 1998. Report-Nr. 26. Download.

Patent

Method and system for thin-shell finite-element analysis. U.S. Patent No. 6.876.596.