TITLE

Influence of boundary conditions on the response of multilayered plates with cohesive interfaces and delaminations using a homogenized approach

AUTHOR(S)
Massabò, R.
PUB. DATE
July 2014
SOURCE
Frattura e Integrita Strutturale;2014, Issue 29, p230
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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 patterns and jumps at the layer interfaces. These effects are well captured by a model recently formulated by the author for multilayered plates with imperfect interfaces and affine interfacial traction laws (Massabò & Campi, Meccanica, 2014, in press; Compos Struct, 2014, 116, 311-324). The model defines a homogenized displacement field, which satisfies interfacial continuity, and uses a variational technique to derive equilibrium equations depending on only six generalized displacement functions, for any arbitrary numbers of layers and interfaces. The model accurately predicts stresses and displacements in simply supported, highly anisotropic, thick plates with continuous, sliding interfaces. In this paper the model is applied to wide plates with clamped edges and some inconsistencies, which have been noted in the literature for models based on similar approaches and have limited their utilization, are explained. A generalized transverse shear force is introduced as the gross stress resultant which is directly related to the bending moment in the equilibrium equations of multilayered structures with imperfect interfaces and substitutes for the shear force of single-layer theory. An application to a delaminated wide plate highlights the potential and limitations of the proposed model for the solution of fracture mechanics problems.
ACCESSION #
97105855

 

Related Articles

  • 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...

  • 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. // Acta Mechanica;Jun2014, Vol. 225 Issue 6, p1649 

    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...

  • 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...

  • 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...

  • Finite-Layer Method: a Unified Approach to a Numerical Analysis of Interlaminar Stresses, Large Deflections, and Delamination Stability of Composites Part 1. Linear Behavior. Timonin, A. // Mechanics of Composite Materials;Jul2013, Vol. 49 Issue 3, p231 

    A new method for a stress-strain analysis of layered composites, named the finite-layer method, is proposed, which is based on the consideration of each particular layer as a constituent of the entire laminate. This method serves as a unified approach to the development of new algorithms for...

  • 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...

  • Design and Analysis of Heavily Loaded Reinforced Concrete Link Beams for Burj Dubai.  // ACI Structural Journal;May/Jun2009, Vol. 106 Issue 3, p382 

    The article presents commentary on the paper "Design and Analysis of Heavily Loaded Reinforced Concrete Link Beams for Burj Dubai." The load and boundary conditions showed by the authors do not model the real conditions. Significant bending moments act along the boundary cross sections of the...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

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

Try another library?
Sign out of this library

Other Topics