Modeling the non-trivial behavior of anisotropic beams: A simple Timoshenko beam with enhanced stress recovery and constitutive relations
Source abstract
Abstract
The final publication is available via https://doi.org/10.1016/j.compstruct.2019.111265.
The source flagged this abstract for review. Check formulas and completeness against the original publication.
Source: openaire · Quality: needs review · Source record ↗
Source flags: short_text
Source flags: short_text
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Analysis and Optimization · Dynamics and Control of Mechanical Systems
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (48)
Show source-provided references
1. Gradient deformation models at nano, micro, and macro scales10.1115/1.2812366 ↗
2. Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results10.1016/j.ijsolstr.2011.03.006 ↗
3. A new modeling approach for planar beams: finite-element solutions based on mixed variational derivations10.2140/jomms.2010.5.771 ↗
4. Planar Timoshenko-like model for multilayer non-prismatic beams10.1007/s10999-016-9360-3 ↗
5. Linear response of a planar FGM beam with non-linear variation of the mechanical properties
6. Non-prismatic beams: a simple and effective Timoshenko-like model10.1016/j.ijsolstr.2016.02.017 ↗
7. Estimation of GLT beam stiffness based on homogenized board mechanical properties and composite beam theory
8. Non-prismatic thin-walled beams: critical issues and effective modeling
9. A beam theory for anisotropic materials10.1115/1.3169063 ↗
10. Bruhns · 2003
11. A unified formulation to assess theories of multilayered plates for various bending problems10.1016/j.compstruct.2004.07.003 ↗
12. Saint-venant’s principle and end effects in anisotropic elasticity10.1115/1.3424095 ↗
13. Dassault Systemes · 2014
14. Much ado about shear correction factors in Timoshenko beam theory10.1016/j.ijsolstr.2010.02.018 ↗
15. On Saint-Venant’s problem for an inhomogeneous, anisotropic cylinder – part I: methodology for Saint-Venant solutions10.1115/1.1363598 ↗
16. A cost-effective isogeometric approach for composite plates based on a stress recovery procedure10.1016/j.compositesb.2017.11.026 ↗
17. Deformation modes of thin-walled members: a comparison between the method of generalized eigenvectors and generalized beam theory10.1016/j.tws.2015.11.013 ↗
18. Buckling analysis through a generalized beam model including section distortions10.1016/j.tws.2014.08.012 ↗
19. A generalized model for heterogeneous and anisotropic beams including section distortions10.1016/j.tws.2013.09.019 ↗
20. Buckling analysis of variable angle tow, variable thickness panels with transverse shear effects10.1016/j.compstruct.2013.08.025 ↗
21. A computationally efficient 2D model for inherently equilibrated 3D stress predictions in heterogeneous laminated plates. Part I: model formulation10.1016/j.compstruct.2015.11.077 ↗
22. Dimensional reduction technique for analysis of aperiodic inhomogeneous structures
23. Plane anisotropic beams10.1115/1.3607676 ↗
24. Comprehensive composite materials II, Volume 7
25. Sur le résistance d’un corps prismatique et d’une piece composée en bois ou on tôle de fer à une force perpendiculaire à leur longeur
26. Refined structural model for thin- and thick- walled composite rotor blades10.2514/2.1619 ↗
27. Effective stiffness prediction of glt beams based on stiffness distributions of individual lamellas10.1007/s00226-015-0745-5 ↗
28. On the foundations of anisotropic interior beam theories10.1016/j.compositesb.2015.10.026 ↗
29. On Saint-Venant’s problem for an inhomogeneous, anisotropic cylinder – part II: cross-sectional properties10.1115/1.1365152 ↗
30. New concepts for linear beam theory with arbitrary geometry and loading10.1016/S0997-7538(98)80051-X ↗
31. Lekhnitskiı̆ · 1968
32. On Saint-Venant’s problem for an inhomogeneous, anisotropic cylinder – part III: end effects10.1115/1.1363597 ↗
33. A 3d model for knots and related fiber deviations in sawn timber for prediction of mechanical properties of boards
34. Evaluation of the coefficients of mutual influence of wood through off-axis compression tests10.1016/j.conbuildmat.2011.12.048 ↗
35. Mechanical behaviour of wood beams with grain orientation
36. Anisotropic beam theories with shear deformation10.1115/1.2823347 ↗
37. On approximate solutions for the deformation of plane anisotropic beams10.1016/1359-8368(96)00030-3 ↗
38. A review on additive manufacturing of polymer-fiber composites10.1016/j.compstruct.2017.08.088 ↗
39. Fast and accurate elastic analysis of laminated composite plates via isogeometric collocation and an equilibrium-based stress recovery approach10.1016/j.compstruct.2019.111026 ↗
40. Metamodel assisted optimization of glued laminated timber systems by reordering wooden lamellas using metaheuristic algorithms10.1016/j.engappai.2018.12.010 ↗
41. On a shear-deformable theory of anisotropic thin-walled beams: further contribution and validations10.1016/S0263-8223(02)00019-3 ↗
42. Rajagopal · 2014
43. First-order generalised beam theory for arbitrary orthotropic materials10.1016/S0263-8231(02)00025-3 ↗
44. A posteriori stress and strain recovery procedure for the static analysis of laminated shells resting on nonlinear elastic foundation10.1016/j.compositesb.2017.06.012 ↗
45. Influence of the anisotropy on the mechanical behavior of laminated beams
46. Composite beam finite element based on the proper generalized decomposition10.1016/j.compstruc.2012.03.008 ↗
47. On Timoshenko-like modeling of initially curved and twisted composite beams10.1016/S0020-7683(02)00399-2 ↗
48. Validation of the variational asymptotic beam sectional analysis (VABS)10.2514/2.1545 ↗