Journal ArticleDOI
Shear-deformable two-layer plate theory with interlayer slip
A. Toledano,H. Murakami +1 more
TLDR
In this paper, a shear-deformable two-layer plate theory with built-in interlayer slip was developed, based upon the principle of virtual work and Reissner's mixed variational principle.Abstract:
Layered plates that experience interlayer slip at a precracked interface such as a construction joint of reinforced concrete slabs or the interface of nailed wooden plates may exhibit significant stiffness degradation. In order to furnish increased simulation capability of stiffness degradation of layered plate structures, a shear‐deformable two‐layer plate theory with built‐in interlayer slip has been developed. Based upon the principle of virtual work and Reissner's mixed variational principle, well‐posed boundary‐value problems of the proposed theory are defined. The theory is tested by examining the cylindrical bending of two‐layer plates consisting of like material layers. Comparisons with the exact elasticity solution for a linear interface slip law and with the numerical result of plane‐strain finite‐element analysis for a nonlinear interface slip law indicate that the present theory accurately simulates important in‐plane responses of the plates. Also, it is observed that the interlayer slip can h...read more
Citations
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Journal ArticleDOI
Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells
TL;DR: The use of the Reissner Mixed Variational Theorem (RMVT) for multilayered plate and shell analysis has been extensively studied in the literature as mentioned in this paper, with a thorough review of the literature involving the use in the modeling of multi-layered plates and shells using RMVT is presented.
Journal ArticleDOI
An assessment of Mixed and Classical Theories on Global and Local Response of Multilayered, Orthotropic Plates
TL;DR: In this article, the authors present two-dimensional theories to evaluate global and local response of orthotropic, multilayered plates, based on the principle of virtual displacement and mixed theories based on Reissner Mixed Variational Theorem (RMVT).
Journal ArticleDOI
Geometrically Nonlinear Theory of Multilayered Plates with Interlayer Slips
TL;DR: In this paper, a geometrically nonlinear theory of anisotropic multilayered plates of general layups featuring interlayer slips is discussed, and the pertinent equations of motion and consistent boundary conditions are derived by means of the dynamic version of virtual work.
Journal ArticleDOI
Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers
TL;DR: In this article, a review of the literature on elastic inclusion problems is presented, with special emphasis on the development of interface conditions modeling different types of interface layer, and various systems of boundary integral equations over the interface are derived.
Journal ArticleDOI
Single- vs Multilayer Plate Modelings on the Basis of Reissner's Mixed Theorem
TL;DR: The use of Reissner's mixed variational theorem (Reissner, E., On a Certain Mixed Variational Theory and a Proposed Applications, International Journal for Numerical Methods in Engineering, Vol. 23, 1986, pp. 193-198) to analyze laminated plate structures is examined.
References
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Journal ArticleDOI
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more
Journal ArticleDOI
The effect of transverse shear deformation on the bending of elastic plates
Eric Reissner,Eric Reissner +1 more
Journal ArticleDOI
Exact solutions for rectangular bidirectional composites and sandwich plates
TL;DR: In this article, three-dimensional elasticity solutions for rectangular laminates with pinned edges are constructed for three dimensional elasticity problems, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.
Journal ArticleDOI
Exact solutions for composite laminates in cylindrical bending
TL;DR: In this article, the limitations of classical laminated plate theory are investigated by comparing solutions of several specific boundary value problems in this theory to the corresponding theory of elasticity solutions, and it is shown that conventional plate theory leads to a very poor description of laminate response at low span-to-depth ratios.
Journal ArticleDOI
Shear Deformation in Heterogeneous Anisotropic Plates
James M. Whitney,N. J. Pagano +1 more
TL;DR: In this article, a bending theory for anisotropic laminated plates developed by Yang, Norris, and Stavsky is investigated, which includes shear deformation and rotary inertia in the same manner as Mindlin's theory for isotropic homogeneous plates.