On the interlaminar stresses of a composite plate around the neighborhood of a hole
References (16)
Stress analysis of multilayered plates around circular holes
Int. J. Engng. Sci.
(1984)- et al.
Stress analysis for an elastic half space containing an embedded rigid block
Int. J. Solids Structures
(1980) - et al.
Stress analysis for an elastic half space containing an axially-loaded rigid cylindrical rod
Int. J. Solids Structures
(1979) Geometrical Effects in Adhesive joints
Int. J. Engng. Sci.
(1975)Theorie Van de Driedimensionale Spanningstoestand in een Doorboorde Plaat
Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading
J. Appl. Mech.
(1968)Two edge-bonded elastic wedges of different materials and wedge angles under surface Tractions
J. Appl. Mech.
(1971)On the three-dimensional theory of cracked plates
J. Appl. Mech.
(1975)
Cited by (27)
Analysis of individual attenuation components of ultrasonic waves in composite material considering frequency dependence
2018, Composites Part B: EngineeringCitation Excerpt :For comparison, the model without defect (sub-model 1) was also used. Because the presence of transverse defect can significantly affect the stress distribution around it [19,20], leads to the increase of interlaminar shear stress at the region of fiber/matrix interface near the defect [11], the energy loss at the interface for models with defect was greater than that in the model without a defect (up to 1.7 times when the matrix viscoelastic attenuation is 40 dB/cm), while the decrease of αint for model without defect is more remarkable than that in the model with defect (approximately 3.6 dB/cm for model without defect, while it decreased 1.43 dB/cm of model with defect). Then, based on the extraction of attenuation components as aforementioned, the frequency characteristics of the individual attenuation components were evaluated.
On three-dimensional asymptotic solution, and applicability of Saint-Venant's principle to pie-shaped wedge and end face (of a semi-infinite plate) boundary value problems
2015, Engineering Fracture MechanicsCitation Excerpt :Nonapplicability of Saint–Venant’s principle is essentially a result of this path dependence of particular solutions of nonhomogeneous singular boundary value problems. There are several classes of problems pertaining to the issue of three-dimensional stress singularity: (i) through-thickness crack [22,23,37–41] and their bimaterial interface [24] as well as trimaterial counterparts [24,28], (ii) through-thickness notches/wedges [12,25–27,31], (iii) trimaterial junction [29,48], (iv) penny shaped crack/anticrack [49–51] and their bimaterial counterparts [52–54], (v) through/part-through hole/rigid inclusion [55] as well as their bimaterial counterparts [56,57], (vi) elastic inclusion [58], (vii) fiber–matrix interfacial debond [59–61], and (viii) island/substrate system [62]. If any of these stress singularities occurs in the gage section of a tensile (or compressive) test specimen, the interaction of such a singularity with its edge face (free edge in two dimension) counterpart at the plate boundary [32–36], would result in violation of Saint–Venant’s principle.
Three-dimensional asymptotic stress fields at the front of a trimaterial junction
2012, Composite StructuresCitation Excerpt :The mathematical difficulties posed by the three-dimensional wedge/crack type problems are substantially greater than their two-dimensional counterparts (to start with the governing PDE’s are much more complicated). There are several classes of problems pertaining to the issue of three-dimensional stress singularity: (i) through-thickness crack [10]/anticrack [11] and their bimaterial interface counterparts [12] as well as the corresponding notches/wedges [13–15], (ii) bimaterial free/fixed straight face (free/fixed edge) [16–18], (iii) penny shaped crack/anticrack [19,20] and their bimaterial counterparts [21–25], (iv) fiber–matrix interfacial debond [26–28], (v) through/part-through hole/rigid inclusion [29,30] as well as their bimaterial counterparts [31,32] and elastic inclusion [33,34] and (vi) matrix cracking and fiber breaks in composites [35]. Only the penny shaped crack/anticrack (and their bimaterial counterparts) and the hole, bimaterial hole and elastic inclusion problems have been adequately addressed in the literature.
Three-dimensional asymptotic mode I/II stress fields at the front of interfacial crack/anticrack discontinuities in trimaterial bonded plates
2012, Composite StructuresCitation Excerpt :In addition, the three-dimensional singular stress fields near a partially debonded cylindrical rigid fiber [26], and in the vicinity of the circumferential tip of a fiber–matrix interfacial debond [27,28] have also been derived using the same afore-mentioned three-dimensional eigenfunction expansion technique. Finally, the asymptotic solutions pertaining to the stress fields in the neighborhoods of holes [29], elastic inclusions [30] and bimaterial holes [31] have also been shown to be in agreement with their counterparts derived by Folias [32–34], using Lure’s symbolic method. These facts not only lend credence to the validity of the afore-mentioned three-dimensional eigenfunction expansion approach, but also reinforce the afore-mentioned conceptual as well as mathematical similarity of and linkages among the afore-cited classes of three-dimensional stress singularity problems.
A three-dimensional eigenfunction expansion approach for singular stress field near an adhesively-bonded scarf joint interface in a rigidly-encased plate
2011, Engineering Fracture MechanicsCitation Excerpt :Initial attempts to solve the three-dimensional through crack problem resulted in controversies that lasted for about a quarter century [9]. The asymptotic solutions pertaining to the stress fields in the neighborhoods of holes, elastic inclusions and bi-material holes have been shown to be in agreement with their counterparts derived by Folias [22–24] using Lure’s symbolic method. In addition, the asymptotic solution for the stress field in the vicinity of a bi-material penny shaped crack has been found to be in agreement with its counterpart due to Willis [25] and others.