A Higher-Order Theory for Plane Stress Conditions of Laminates Consisting of Isotropic Layers

Wu, Xijia; Cheng, Shun

doi:10.1115/1.2789174

Cited by 9 publications

(5 citation statements)

References 5 publications

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“…The materials were assumed elastic and isotropic. Wu and Cheng gave a solution of the above equations by developing the stress potentials in Laurent series for the two plates of the system [24]. The coefficients of the Laurent series, {c m } 1 " , were determined by the condition of displacement continuity of the plate with the hole and the patching plate at the interface, expressed by (u c + iv c ) = (u s + iv s ) with, assuming h c Na:…”

Section: Effect Of Coating Defects On Cohesive Strengthmentioning

confidence: 99%

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Influence of substrate additives on the mechanical properties of ultrathin oxide coatings on poly(ethylene terephthalate)

Rochat¹,

Leterrier²,

Fayet³

et al. 2005

Surface and Coatings Technology

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The mechanical properties of ultrathin silicon oxide (SiO x ) coatings plasma-deposited on poly(ethylene terephthalate) (PET) films were investigated with particular attention paid to the effect of additives located in the superficial layers of the polymer substrate. The cohesive and adhesive properties of the thin oxide coating were derived from the analysis of fragmentation tests carried out in situ in a scanning electron microscope. The cohesive strength of the coating was determined assuming a Weibull probability of failure of the oxide, and the coating/ substrate interfacial shear strength (IFSS) was calculated by means of a stress transfer analysis with a perfectly plastic interface. It was shown that the presence of additives in the superficial layers of PET substrates leads to a 20% decrease of the crack onset strain, which is due to an increase of the coating defect density, as revealed by means of atomic oxygen etching. The stress concentration induced by coating microdefects was modeled, and was shown to induce a decrease in the cohesive properties of the coating, which correlates with the observed decrease of crack onset strain. Moreover, the adhesion was found to be very high, with a IFSS higher than the substrate bulk shear stress at yield, irrespective of the presence of additives. D

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Section: Effect Of Coating Defects On Cohesive Strengthmentioning

confidence: 99%

“…In order to analyze the relation between coating defect density and cohesive strength, a model was developed based on a study of Wu and Cheng [24]. The present approach considers two perfectly bonded layers (Fig.…”

Section: Effect Of Coating Defects On Cohesive Strengthmentioning

confidence: 99%

Influence of substrate additives on the mechanical properties of ultrathin oxide coatings on poly(ethylene terephthalate)

Rochat¹,

Leterrier²,

Fayet³

et al. 2005

Surface and Coatings Technology

View full text Add to dashboard Cite

show abstract

“…More recent work on this problem using complex variables include papers by Ukadgaonker and Rao (2000), Xiwu et al (1995), Wu and Cheng (1999), Chen and Hsu (1996), Bryukhanova (1967), Wang and Hasebe (2000), Tsukrov and Novak (2002), Datsyshin and Marchenko (1985), Vigdergauz (1993), Exadaktylos et al (2003), Cherkaev and Grabovsky (1998). Ukadgaonker and Rao (2000) solved the bending problem for laminated composite plates with openings of different shapes and Xiwu et al (1995) considered a finite laminate with elliptical hole under in-plane extensional and shear loads.…”

Section: Introductionmentioning

confidence: 99%

“…Datsyshin and Marchenko (1985) solved for the stress concentration around curvilinear cracks in a half-plane problem by satisfying the boundary conditions numerically using Gauss quadrature formulas. Wu and Cheng (1999) considered a circular hole in a laminated composite material under extensional loading. Chen and Hsu (1996) studied the stress concentrations around undulating cracks located at the interface of the two materials.…”

Section: Introductionmentioning

confidence: 99%

Analysis of stress concentrations in plates with rectangular openings by a combined conformal mapping – Finite element approach

Louhghalam

Igusa

Park

et al. 2011

International Journal of Solids and Structures

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a b s t r a c tPlates with rectangular openings develop stress concentrations under bending. While these stresses can be determined using finite elements, in many problems this would be difficult because a high density mesh would be needed in the neighborhood of every opening corner. In this paper, it is shown how a complex-variable conformal mapping approach can be numerically coupled with the finite element method to analyze these corner stresses. This approach can be used even with relatively coarse meshes where the finite element results, by themselves, do not resolve the stress concentrations. In essence, the method relies on finite element analysis to obtain information on the stress field in a region surrounding the plate opening; this information is subsequently used to set up the parameters of the conformal mapping approach to obtain the near field stresses at the opening corners.

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“…n engineering structures, structural elements consisting of many layers [1,2] and of many materials [3] are often used plated elements called metallic composites [4,5]. Metallic composites (plating) are obtained by so-called explosive welding.…”

Section: Introductionmentioning

confidence: 99%

Research of stress distribution in the cross-section of a bimetallic perforated plate perpendicularly loaded with concentrated force

Konieczny

Achtelik

Gasiak

2020

Frattura Ed Integrità Strutturale

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The paper presents the stress distribution along the plate thickness in a bimetallic steel – titanium circular, axially symmetrical perforated plate produced in the technological process of explosion welding. The steel layer is the layer that transfers the load in the plate, while the titanium layer is used to improve the properties of the plate, e.g. corrosion resistance, thermal transmittance, etc. in the plate. Two cases of fastening were considered, i.e. a freely supported and fixed plate. Such plates are used in various engineering structures, e.g. simply supported plates can be used in loose material screens, while plates are fixed in heat exchangers. The load was assumed as a concentrated force applied perpendicularly to the plate surface. The results obtained numerically using the finite element method were compared with the results calculated according to the analytical equations. It has been shown that the difference in the results of equivalent von Mises stress calculations does not exceed 13%. The research results presented in the paper can be used by engineers to design bimetallic perforated plates perpendicularly loaded to their surface.

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A Higher-Order Theory for Plane Stress Conditions of Laminates Consisting of Isotropic Layers

Cited by 9 publications

References 5 publications

Influence of substrate additives on the mechanical properties of ultrathin oxide coatings on poly(ethylene terephthalate)

Influence of substrate additives on the mechanical properties of ultrathin oxide coatings on poly(ethylene terephthalate)

Analysis of stress concentrations in plates with rectangular openings by a combined conformal mapping – Finite element approach

Research of stress distribution in the cross-section of a bimetallic perforated plate perpendicularly loaded with concentrated force

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