Stress analysis of multi-layered hollow anisotropic composite cylindrical structures using the homogenization method

Sun, X.; Tan, V.; Chen, Y.; Tan, L.; Jaiman, R.; Tay, T.
June 2014
Acta Mechanica;Jun2014, Vol. 225 Issue 6, p1649
Academic Journal
This paper presents a general and efficient stress analysis strategy for hollow composite cylindrical structures consisting of multiple layers of different anisotropic materials subjected to different loads. Cylindrical material anisotropy and various loading conditions are considered in the stress analysis. The general stress solutions for homogenized hollow anisotropic cylinders subjected to pressure, axial force, torsion, shear and bending are presented with explicit formulations under typical force and displacement boundary conditions. The stresses and strains in a layer of the composite cylindrical structures are obtained from the solutions of homogenized hollow cylinders with effective material properties and discontinuous layer material properties. Effective axial, torsional, bending and coupling stiffness coefficients taking into account material anisotropy are also determined from the strain solutions for the hollow composite cylindrical structures. Examples show that the material anisotropy may have significant effects on the effective stiffness coefficients in some cases. The stress analysis method is demonstrated with an example of stress analysis of a 22-layer composite riser, and the results are compared with numerical solutions. This method is efficient for stress analysis of thin-walled or moderately thick-walled hollow composite cylindrical structures with various multiple layers of different materials or arbitrary fiber angles because no explicit interfacial continuity parameters are required. It provides an efficient and easy-to-use analysis tool for assessing hollow composite cylindrical structures in engineering applications.


Related Articles

  • Influence of boundary conditions on the response of multilayered plates with cohesive interfaces and delaminations using a homogenized approach. Massabò, R. // Frattura e Integrita Strutturale;2014, Vol. 8, p230 

    Stress and displacement fields in multilayered composites with interfacial imperfections, such as imperfect bonding of the layers or delaminations, or where the plies are separated by thin interlayers allowing relative motion, have large variations in the thickness, with characteristic zigzag...

  • Fracture analysis of materials with periodic microstructure by the representative cell method. Ryvkin, Michael; Fuchs, Moshe B.; Lipperman, Fabian; Kucherov, Leonid // International Journal of Fracture;Jul/Aug2004, Vol. 128 Issue 1-4, p215 

    The periodic structure of some natural and especially man-made materials can be manifested not only on an atomic but also on a larger scale. Investigation of mechanical properties of these materials usually hinges on well-developed homogenization methods. On the other hand, these methods are not...

  • Boundary Layers in Fibre Composite Materials. Andrianov, Igor V.; Danishevs'kyy, Vladyslav V.; Weichert, Dieter // AIP Conference Proceedings;9/9/2009, Vol. 1168 Issue 1, p852 

    While asymptotic homogenization leads to a much simpler problem for an equivalent homogeneous material with certain effective properties, the construction of a solution in the vicinity of the boundary of the original composite solid remains beyond capabilities of the classical homogenization. In...

  • Mixed boundary conditions for FFT-based homogenization at finite strains. Kabel, Matthias; Fliegener, Sascha; Schneider, Matti // Computational Mechanics;Feb2016, Vol. 57 Issue 2, p193 

    In this article we introduce a Lippmann-Schwinger formulation for the unit cell problem of periodic homogenization of elasticity at finite strains incorporating arbitrary mixed boundary conditions. Such problems occur frequently, for instance when validating computational results with tensile...

  • On Micro-Buckling of Unidirectional Fiber-Reinforced Composites by Means of Computational Micromechanics. Barulich, Néstor D.; Godoy, Luis A.; Barbero, Ever J. // Latin American Journal of Solids & Structures;2016, Vol. 13 Issue 16, p2785 

    Micro-buckling of unidirectional fiber-reinforced composites is investigated in this paper by means of an explicit representation of a geometrically imperfect fiber within the context of kinematical and material non-linear behavior. Two types of fiber imperfections are considered: a helicoidal...

  • Anomalous phonon behavior of carbon nanotubes: First-order influence of external load. Aghaei, Amin; Dayal, Kaushik; Elliott, Ryan S. // Journal of Applied Physics;Jan2013, Vol. 113 Issue 2, p023503 

    External loads typically have an indirect influence on phonon curves, i.e., they influence the phonon curves by changing the state about which linearization is performed. In this paper, we show that in nanotubes, the axial load has a direct first-order influence on the long-wavelength behavior...

  • A Notion of Capacity Related to Elasticity: Applications to Homogenization. Bellieud, Michel // Archive for Rational Mechanics & Analysis;Jan2012, Vol. 203 Issue 1, p137 

    We study a notion of capacity related to elasticity which proves convenient for analyzing the concentrations of strain energy caused by rigid displacements of some infinitesimal parts of an elastic body in two or three dimensions. By way of application, we investigate the behavior of solutions...

  • Two-Scale Γ-Convergence of Integral Functionals and its Application to Homogenisation of Nonlinear High-Contrast Periodic Composites. Cherdantsev, M.; Cherednichenko, K. // Archive for Rational Mechanics & Analysis;May2012, Vol. 204 Issue 2, p445 

    An analytical framework is developed for passing to the homogenisation limit in (not necessarily convex) variational problems for composites whose material properties oscillate with a small period ε and that exhibit high contrast of order $${\varepsilon^{-1}}$$ between the constitutive,...

  • The Representative Volume Size in Static and Dynamic Micro-Macro Transitions. Gitman, Inna M.; Askes, Harm; Aifantis, Elias C. // International Journal of Fracture;Sep2005, Vol. 135 Issue 1-4, pL3 

    Two homogenisation schemes (first-order or local, and second-order or non-local) are employed in this paper. In case second-order homogenisation is applied, it turns out that elastic behaviour at the micro-scale implies the appearance of second-order space and time derivatives of macroscopic...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics