Edge singularities in anisotropic composites

Ting, T. C. T.; Chou, S. C.

doi:10.1016/0020-7683(81)90013-5

Cited by 134 publications

(51 citation statements)

References 8 publications

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“…The use of the Stroh formalism to determine the nature of the asymptotic stress field at material and geometric discontinuities in anisotropic elastic materials is now well established and will not be discussed here. The interested reader can find details on how this type of analysis is performed in references [26][27][28].…”

Section: Discussionmentioning

confidence: 99%

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Microstructure-based approach for predicting crack initiation and early growth in metals.

Cox¹,

Emery²,

Brewer³

et al. 2009

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Fatigue cracking in metals has been and is an area of great importance to the science and technology of structural materials for quite some time. The earliest stages of fatigue crack nucleation and growth are dominated by the microstructure and yet few models are able to predict the fatigue behavior during these stages because of a lack of microstructural physics in the models. This program has developed several new simulation tools to increase the microstructural physics available for fatigue prediction. In addition, this program has extended and developed microscale experimental methods to allow the validation of new microstructural models for deformation in metals. We have applied these developments to fatigue experiments in metals where the microstructure has been intentionally varied. 4 ACKNOWLEDGMENTSWe would like to acknowledge a great deal of assistance in preparing and measuring brass material from

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Section: Discussionmentioning

confidence: 99%

“…The derivation for hydrogen transport is taken from Sofronis [26]and Krom [27]. For brevity we will only introduce the needed information to justify the current coupling.…”

Section: Hydrogen Transport and Coupling Methodologymentioning

confidence: 99%

Microstructure-based approach for predicting crack initiation and early growth in metals.

Cox¹,

Emery²,

Brewer³

et al. 2009

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“…The stress singularity in a cantilever piezoelectric bimorph is similar to the free-edge singularity observed in laminated plates. 39 Here we have not performed a singularity analysis. Usually stress singularities occur at the point where two different materials meet a free edge.…”

Section: B Piezoelectric Bimorphmentioning

confidence: 99%

Cylindrical Bending of Laminated Plates with Distributed and Segmented Piezoelectric Actuators/Sensors

Vel

Batra

2000

AIAA Journal

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The generalized plane quasistatic deformations of linear piezoelectric laminated plates are analyzed by the Eshelby-Stroh formalism. The laminate consists of homogeneous elastic or piezoelectric laminae of arbitrary thickness and width. The three-dimensional differential equations of equilibrium for a piezoelectric body are exactly satis ed at every point in the body. The analytical solution is in terms of an in nite series; the continuity conditions at the interfaces between adjoining laminae and boundary conditions at the edges are satis ed in the sense of Fourier series. The formulation admits different boundary conditions at the edges and is applicable to thick and thin laminated plates. Results are presented for laminated elastic plates with a distributed piezoelectric actuator on the upper surface and a sensor on the lower surface and subjected to different sets of boundary conditions at the edges. Results are also provided for a piezoelectric bimorph and an elastic plate with segmented piezoelectric actuators bonded to its upper and lower surfaces.

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“…These two formulations were also utilized to solve the stress singularity problems in notched structures [11,12]. Recently, Chen investigated bending singularities of an anisotropic notched plate [13].…”

Section: Introductionmentioning

confidence: 99%

Investigations of Bending Singularity Orders in a V-notched Composite Laminate Plate Based on the Ressiner-Mindlin Theory

Chen

2018

MATEC Web Conf.

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Abstract. In this paper, the bending singularity at the apex of a V-notched composite laminate plate is investigated. The anisotropy of the laminate is modeled by the Stroh formalism. Based on the eigenfunction expansion method, the bending singularity orders can be determined by solving an eigenvalue problem numerically. The singularity orders depend on the plate angle, material orientation, material anisotropy and the laminate stacking sequence. The comparison cases show that the material orientation should avoid in order to reduce the bending singularity. The layers near the free surfaces have more significant effects on the singularity order. The findings presented in this paper are helpful in the design of the composite laminate with V-notch.

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Edge singularities in anisotropic composites

Cited by 134 publications

References 8 publications

Microstructure-based approach for predicting crack initiation and early growth in metals.

Microstructure-based approach for predicting crack initiation and early growth in metals.

Cylindrical Bending of Laminated Plates with Distributed and Segmented Piezoelectric Actuators/Sensors

Investigations of Bending Singularity Orders in a V-notched Composite Laminate Plate Based on the Ressiner-Mindlin Theory

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