Nonlinear thermoelastic analysis of shell structures: solid-shell modelling and high-performing continuation method
Source abstract
Abstract
Abstract This work presents a cost-effective and reliable numerical framework for geometrically nonlinear thermoelastic analyses of thin-walled structures. Firstly, the structure is discretised using an isogeometric solid-shell formulation, that allows an accurate approximation of geometry and kinematics avoiding the parameterisation of finite rotations. Focus is given to an efficient modelling of thermal strains, temperature-dependent materials and general temperature profiles. Then, a generalised arc-length method is developed for solving the discrete equations with the temperature amplifier as additional unknown. A consistent definition of the tangent operators and a mixed integration point strategy lead to a robust analysis with a reduced iterative burden, even in case of complex nonlinear behaviours where standard simulation tools are outperformed or even fail. Finally, an accurate eigenvalue analysis is derived for a quick estimate of critical temperatures. The overall framework is validated by a number of applications with isotropic and multi-layered composite materials, including variable angle tow laminates.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Advanced Numerical Analysis Techniques · Composite Structure Analysis and Optimization · Tribology and Lubrication Engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (58)
Show source-provided references
1. Barbero E. Introduction to Composite Materials Design – Third Edition; 2018.
2. Postbuckling analysis of variable angle tow plates using differential quadrature method10.1016/j.compstruct.2013.05.010 ↗
3. Postbuckling optimisation of a variable angle tow composite wingbox using a multi-modal Koiter approach10.1016/j.tws.2019.01.035 ↗
4. Liguori FS, Zucco G, Madeo A, Garcea G, Leonetti L, Weaver PM. An isogeometric framework for the optimal design of variable stiffness shells undergoing large deformations. Int J Solids Struct.https://doi.org/10.1016/j.ijsolstr.2020.11.003. URL: http://www.sciencedirect.com/science/article/pii/S0020768320304261.
5. Towards an understanding of variations in the buckling of tailored variable angle tow composite plates10.1016/j.compstruct.2018.07.061 ↗
6. Bhatia M, Livne E. Design-oriented thermostructural analysis with internal and external radiation, part 1: steady state. AIAA J 46(3) (2008) 578–590. arXiv:https://doi.org/10.2514/1.26236, doi:10.2514/1.26236. URL:https://doi.org/10.2514/1.26236.10.2514/1.26236 ↗
7. Bhatia M, Beran P. Design of thermally stressed panels subject to transonic flutter constraints. J Aircraft 54(6);2017:2340–2349. arXiv:https://doi.org/10.2514/1.C034301, doi:10.2514/1.C034301. URL:https://doi.org/10.2514/1.C034301.10.2514/1.C034301 ↗
8. On the mechanics of thermal buckling of oil storage tanks10.1016/j.tws.2019.106432 ↗
9. Finite elements for post-buckling analysis. II-Application to composite plate assemblies10.1016/0045-7949(94)00573-L ↗
10. Neiferd DJ, Grandhi RV, Deaton JD, Beran PS, Bhatia M. A nonlinear finite element analysis capability for the optimization of thermoelastic structures. arXiv:https://arc.aiaa.org/doi/pdf/10.2514/6.2017-1302, doi:10.2514/6.2017-1302. URL:https://arc.aiaa.org/doi/abs/10.2514/6.2017-1302.
11. Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory10.1016/j.compstruct.2004.04.010 ↗
12. Thermal buckling of rectangular plates10.1016/S0020-7683(00)00240-7 ↗
13. Thermal buckling analysis of rectangular composite plates with temperature-dependent properties based on a layerwise theory10.1016/j.tws.2007.03.004 ↗
14. Thermal buckling of laminated composite plates using layerwise displacement model10.1016/j.compstruct.2016.01.082 ↗
15. Thermal buckling of curvilinearly stiffened laminated composite plates with cutouts using isogeometric analysis10.1016/j.compstruct.2020.111881 ↗
16. Investigation of thermo-elastic buckling of variable stiffness laminated composite shells using finite element approach based on higher-order theory10.1016/j.compstruct.2018.12.012 ↗
17. Thermomechanical response of variable stiffness composite panels10.1080/01495730802540916 ↗
18. Thermal buckling of composite plates with spatial varying fiber orientations10.1016/j.compstruct.2014.12.065 ↗
19. Thermo-mechanical buckling analysis of symmetric vat composite laminates with temperature-dependent material properties10.1016/j.tws.2019.03.040 ↗
20. Stability and failure analyses of delaminated composite plates subjected to localized heating10.1016/j.compstruct.2018.10.087 ↗
21. Thermal post-buckling analysis of functionally graded material structures using a modified FSDT10.1016/j.ijmecsci.2018.05.033 ↗
22. A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells10.1016/j.engstruct.2018.10.047 ↗
23. Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures
24. Thermal buckling load optimization of laminated composite plates10.1016/j.tws.2007.11.005 ↗
25. Determination of optimum effective parameters on thermal buckling of hybrid composite plates with quasi-square cut-out using a genetic algorithm10.1080/0305215X.2019.1575965 ↗
26. Thermal buckling optimization of variable angle tow fibre composite plates with gap/overlap free design
27. Multi-material topology optimization for thermal buckling criteria10.1016/j.cma.2018.08.015 ↗
28. Thermal postbuckling behavior of imperfect shear deformable laminated plates with temperature-dependent properties10.1016/S0045-7825(01)00172-4 ↗
29. On nonlinear thermal buckling analysis of cylindrical shells10.1016/j.tws.2015.06.013 ↗
30. Oliveri V, Milazzo A, Weaver P. Thermo-mechanical post-buckling analysis of variable angle tow composite plate assemblies. Compos Struct 183;2018:620 – 635, in honor of Prof. Y. Narita.https://doi.org/10.1016/j.compstruct.2017.07.050. URL: http://www.sciencedirect.com/science/article/pii/S0263822317307870.10.1016/j.compstruct.2017.07.050 ↗
31. An incremental approach to the solution of snapping and buckling problems10.1016/0020-7683(79)90081-7 ↗
32. Generalised path-following for well-behaved nonlinear structures10.1016/j.cma.2017.12.001 ↗
33. Austin Cottrell YBJ, Thomas JR Hughes. Isogeometric Analysis: Toward Integration of CAD and FEA; 2009. doi:978-0-470-74873-2.10.1002/9780470749081 ↗
34. Isogeometric analysis: an overview and computer implementation aspects10.1016/j.matcom.2015.05.008 ↗
35. Johannessen KA. Optimal quadrature for univariate and tensor product splines. Comput Methods Appl Mech Eng 316:2017;84–99, special Issue on Isogeometric Analysis: Progress and Challenges.https://doi.org/10.1016/j.cma.2016.04.030.10.1016/j.cma.2016.04.030 ↗
36. Selective and reduced numerical integrations for NURBS-based isogeometric analysis10.1016/j.cma.2014.11.001 ↗
37. An efficient isogeometric solid-shell formulation for geometrically nonlinear analysis of elastic shells10.1016/j.cma.2017.11.025 ↗
38. An isogeometric formulation of the Koiter’s theory for buckling and initial post-buckling analysis of composite shells10.1016/j.cma.2018.03.037 ↗
39. An eight-node hybrid-stress solid-shell element for geometric non-linear analysis of elastic shells10.1002/nme.535 ↗
40. On the mechanics of local-distortional interaction in thin-walled lipped channel columns10.1016/j.tws.2017.12.029 ↗
41. Deformation modes for the post-critical analysis of thin-walled compressed members by a Koiter semi-analytic approach10.1016/j.ijsolstr.2016.09.010 ↗
42. Isogeometric analysis of 3D beams for arbitrarily large rotations: Locking-free and path-independent solution without displacement DOFs inside the patch10.1016/j.cma.2020.113437 ↗
43. Advantages of the mixed format in geometrically nonlinear analysis of beams and shells using solid finite elements10.1002/nme.5322 ↗
44. Path-following analysis of thin-walled structures and comparison with asymptotic post-critical solutions10.1002/nme.494 ↗
45. How to improve efficiency and robustness of the Newton method in geometrically non-linear structural problem discretized via displacement-based finite elements10.1016/j.cma.2016.10.023 ↗
46. A robust penalty coupling of non-matching isogeometric Kirchhoff-Love shell patches in large deformations10.1016/j.cma.2020.113289 ↗
47. A simplified Kirchhoff-Love large deformation model for elastic shells and its effective isogeometric formulation10.1016/j.cma.2019.05.025 ↗
48. A large rotation finite element analysis of 3D beams by incremental rotation vector and exact strain measure with all the desirable features10.1016/j.cma.2019.112811 ↗
49. Isogeometric analysis for nonlinear planar Kirchhoff rods: Weighted residual formulation and collocation of the strong form10.1016/j.cma.2018.05.025 ↗
50. Accurate and efficient a posteriori account of geometrical imperfections in Koiter finite element analysis10.1002/nme.5550 ↗
51. The Koiter-Newton approach using von Karman kinematics for buckling analyses of imperfection sensitive structures10.1016/j.cma.2014.07.008 ↗
52. An efficient mixed variational reduced-order model formulation for nonlinear analyses of elastic shells10.1002/nme.5629 ↗
53. Impact of corrugations on bifurcation and thermoelastic responses of hat-stiffened panels10.1016/j.tws.2019.03.027 ↗
54. Hibbit K, Sorenson P. Abaqus analysis user’s manual version 6.7.
55. Les Piegl WT. The NURBS book; 1997.https://doi.org/10.1007/978-3-642-59223-2.10.1007/978-3-642-59223-2 ↗
56. Koiter asymptotic analysis of multilayered composite structures using mixed solid-shell finite elements10.1016/j.compstruct.2016.07.046 ↗
57. Mixed shell element for static and buckling analysis of variable angle tow composite plates10.1016/j.compstruct.2016.05.030 ↗
58. Large deflections of laminated cylindrical and doubly-curved panels under thermal loading10.1016/0045-7949(91)90433-M ↗