3/23/2023 0 Comments Multipatch not working![]() ![]() Greco, L., Cuomo, M.: An isogeometric implicit G1 mixed finite element for Kirchhoff space rods. (eds.) Approximation Algorithms for Complex Systems, pp. ![]() Georgoulis, E.H.: Discontinuous Galerkin methods for linear problems: an introduction. 103(3), 205–234 (2015)ĭu, X., Zhao, G., Wang, W.: Nitsche method for isogeometric analysis of Reissner–Mindlin plate with non-conforming multi-patches. Master’s Thesis, Istanbul Technical University (2012)ĭornisch, W., Vitucci, G., Klinkel, S.: The weak substitution method-an application of the mortar method for patch coupling in NURBS-based isogeometric analysis. A 471(2183), 20150415 (2015)ĭemirtas, M.: Application of isogeometric theory on structural analysis of beams. A 472(2185), 20150790 (2016)ĭell’Isola, F., Seppecher, P., Della Corte, A.: The postulations á la d’alembert and á la cauchy for higher gradient continuum theories are equivalent: a review of existing results. Solids 22(4), 852–872 (2017)ĭell’Isola, F., Giorgio, I., Pawlikowski, M., Rizzi, N.: Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium. 87(6), 541–565 (2011)ĭell’Isola, F., Corte, A.D., Giorgio, I.: Higher-gradient continua: the legacy of piola, mindlin, sedov and toupin and some future research perspectives. 71(3), 267–276 (1999)ĭe Luycker, E., Benson, D., Belytschko, T., Bazilevs, Y., Hsu, M.: X-fem in isogeometric analysis for linear fracture mechanics. Wiley, London (2009)ĭavı, G., Milazzo, A.: Bending stress fields in composite laminate beams by a boundary integral formulation. 34(3), 291–299 (1996)Ĭottrell, J.A., Hughes, T.J., Bazilevs, Y.: Isogeometric Analysis: Toward Integration of CAD and FEA. Solids 21(2), 182–209 (2016)Ĭhattopadhyay, A., Gu, H.: Exact elasticity solution for buckling of composite laminates. Solids 21(5), 562–577 (2016)Ĭazzani, A., Malagù, M., Turco, E., Stochino, F.: Constitutive models for strongly curved beams in the frame of isogeometric analysis. 10(3), 215–296 (2003)Ĭazzani, A., Malagù, M., Turco, E.: Isogeometric analysis: a powerful numerical tool for the elastic analysis of historical masonry arches. 284, 292–319 (2015)Ĭarrera, E.: Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking. 217, 77–95 (2012)īoutin, C., Giorgio, I., Placidi, L., et al.: Linear pantographic sheets: asymptotic micro–macro models identification. 43(1), 3–37 (2008)īorden, M.J., Verhoosel, C.V., Scott, M.A., Hughes, T.J., Landis, C.M.: A phase-field description of dynamic brittle fracture. It is shown that DG–IGA gives a better approximation in comparison with the standard IGA.īazilevs, Y., Calo, V.M., Hughes, T.J., Zhang, Y.: Isogeometric fluid–structure interaction: theory, algorithms, and computations. The stresses are calculated along the thickness of the composite laminate, subjected to a sinusoidal load, and they are compared with the analytical solutions. ![]() For numerical calculations, a composite laminate with stacking sequences \(0^\), respectively, is adopted. Therefore, in this paper, one of the discontinuous Galerkin (DG) methods, namely symmetric interior penalty Galerkin formulation, is employed to allow for discontinuities. As NURBS patches are discontinuous across their boundaries, a standard FEA-like procedure does not work for multipatch IGA an additional numerical technique is required for coupling NURBS patches. This multipatch representation corresponds to decomposition of the computational domain (composite laminate) into non-overlapping subdomains. In order to account for multiple domains, each lamina is modeled as a single NURBS patch. Non-uniform rational B-splines (NURBS) are employed as basis functions for both geometric and computational implementations. This paper is concerned with the isogeometric analysis (IGA) of composite laminates under cylindrical bending.
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