Static analysis of bi-directional functionally graded curved beams
Source abstract
Abstract
Abstract Flexure of bi-directional functionally graded (FG) circular beams is analyzed using the kinematical assumptions of the Euler–Bernoulli theory. The material properties are varied along the axis (tangential direction) and thickness (radial direction) of the beam simultaneously. Analytical results are presented for statically-determinate circular cantilever beams under the action of various tip loads. Finally, parametric studies are conducted to investigate the variation of critical stresses and displacements with the gradation parameters. These indicate the possibility of tailoring the response of bi-directional FG beams to fit a wide range of structural constraints.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Analysis and Optimization · Structural Load-Bearing Analysis
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References (35)
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1. Composites lift off in primary aerostructures10.1016/S0034-3617(04)00193-6 ↗
2. Airframers exploit composites in battle for supremacy10.1016/S0034-3617(05)00577-1 ↗
3. Christensen · 2012
4. Fundamentals of functionally graded materials
5. The use of functionally graded materials to eliminate or control thermal deformation10.1016/0266-3538(96)00075-9 ↗
6. A new beam finite element for the analysis of functionally graded materials10.1016/S0020-7403(03)00058-4 ↗
7. Thermo-mechanical analysis of functionally graded shells10.1080/01495739.2010.482379 ↗
8. Functionally graded composite materials: an overview10.1016/j.mspro.2014.07.442 ↗
9. Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions10.1016/j.compositesb.2011.01.017 ↗
10. A new approach for free vibration of axially functionally graded beams with non-uniform cross-section10.1016/j.jsv.2009.12.029 ↗
11. Semi-inverse method for axially functionally graded beams with an anti-symmetric vibration mode10.1016/j.jsv.2004.08.038 ↗
12. Closed-form solutions for axially functionally graded Timoshenko beams having uniform cross-section and fixed-fixed boundary condition10.1016/j.compositesb.2013.10.077 ↗
13. An elasticity solution for functionally graded beams10.1016/S0266-3538(01)00007-0 ↗
14. Elasticity solutions for plane anisotropic functionally graded beams10.1016/j.ijsolstr.2006.04.026 ↗
15. A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams10.1016/j.jsv.2008.04.056 ↗
16. An analytical method for free vibration analysis of functionally graded beams10.1016/j.matdes.2008.05.015 ↗
17. Analysis of FGM beams by means of classical and advanced theories10.1080/15376494.2010.518930 ↗
18. Hierarchical theories for the free vibration analysis of functionally graded beams10.1016/j.compstruct.2011.07.016 ↗
19. Deformation analysis of functionally graded beams by the direct approach10.1016/j.compositesb.2011.09.003 ↗
20. Geometrically nonlinear finite element analysis of functionally graded 3D beams considering warping effects10.1016/j.compstruct.2015.07.024 ↗
21. Analysis of thin-walled open-section beams with functionally graded materials10.1016/j.compstruct.2015.11.052 ↗
22. Instability of curved beams made of functionally graded material under thermal loading10.1007/s10999-005-4446-3 ↗
23. In-plane and out-of-plane buckling of arches made of FGM10.1016/j.ijmecsci.2006.01.001 ↗
24. Out-of-plane free vibration of functionally graded circular curved beams in thermal environment10.1016/j.compstruct.2009.08.040 ↗
25. The dynamics of thick curved beams constructed with functionally graded materials10.1016/j.mechrescom.2010.07.007 ↗
26. Free vibration of functionally graded spatial curved beams10.1016/j.compstruct.2011.04.024 ↗
27. In-plane and out-of-plane dynamics and buckling of functionally graded circular curved beams10.1016/j.compstruct.2012.04.032 ↗
28. Large displacement static and transient analysis of functionally graded deep curved beams with generalized differential quadrature method10.1016/j.compstruct.2015.06.024 ↗
29. In-plane free vibrations of circular beams made of functionally graded material in thermal environment: Beam theory approach10.1016/j.compstruct.2014.11.051 ↗
30. Large deflection analysis of planar curved beams made of functionally graded materials using variational iterational method10.1016/j.compstruct.2015.10.017 ↗
31. Two-dimensional elasticity solutions for temperature-dependent in-plane vibration of FGM circular arches10.1016/j.compstruct.2009.03.014 ↗
32. Two-dimensional in-plane free vibrations of functionally graded circular arches with temperature-dependent properties10.1016/j.compstruct.2009.04.034 ↗
33. Bending of inhomogeneous curved bars10.1016/j.ijsolstr.2006.11.021 ↗
34. Elasticity solutions for orthotropic functionally graded curved beams10.1016/j.euromechsol.2012.04.005 ↗
35. Free vibration of two-directional functionally graded beams10.1016/j.compstruct.2015.09.013 ↗