Macro-failure criterion for the theory of laminated composite structures with free edge delaminations

Боровков, А. И.; Palmov, Vladimir; Баничук, Н. В.; Saurin, Vasily V.; Barthold, Franz‐Joseph; Stein, Erwin

doi:10.1016/s0045-7949(99)00169-8

Cited by 17 publications

(12 citation statements)

References 12 publications

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“…75 ]. This agrees with previous observations (e.g., Rice 1988;Sun and Qian 1997;Borovkov et al 2000). Hence, the contact zone is much smaller than the k-annulus region, which is often scaled by the smallest dimen sion of the specimen or crack length Becker 1997).…”

Section: Discussionsupporting

confidence: 92%

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Obtaining mode mixity for a bimaterial interface crack using the virtual crack closure technique

2006

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We review, unify and extend work per taining to evaluating mode mixity of interfacial fracture utilizing the virtual crack closure tech nique (VCCT). From the VCCT, components of the strain energy release rate (SERR) are obtained using the forces and displacements near the crack tip corresponding to the opening and sliding contri butions. Unfortunately, these components depend on the crack extension size, �, used in the VCCT. It follows that a mode mixity based upon these components also will depend on the crack exten sion size. However, the components of the strain energy release rate can be used for determining the complex stress intensity factors (SIFs) and the associated mode mixity. In this study, we show that several-seemingly different-suggested methods presented in the literature used to obtain mode mixity based on the stress intensity factors are in deed identical. We also present an alternative, sim pler quadratic equation to this end. Moreover, a �-independent strain energy release based mode mixity can be defined by introducing a "normal izing length parameter." We show that when the reference length (used for the SIF-based mode mixity) and the normalizing length (used for � independent SERR-based mode mixity) are equal,

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Section: Discussionsupporting

confidence: 92%

“…Indeed, the contact zone is much smaller than even the atomic dimensions for moderate values of β (Rice 1988;Wang and Suo 1990;Sun and Qian 1997;Borovkov et al 2000).…”

Section: Estimate Of the Contact Zonementioning

confidence: 99%

Obtaining mode mixity for a bimaterial interface crack using the virtual crack closure technique

2006

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“…In contrast, the FSDT predicts piecewise constant, the SSDT predicts piecewise linear distributions, and neither one satisfies the traction-free conditions at the top and bottom boundaries. However, the transverse shear stresses can be calculated by integrating the 3D equilibrium equations s Á r = 0 [65,85]. By imposing traction-free top and bottom boundaries as well as stress continuity between the layers it is possible to obtain the dashed-dot-dot (orange) curves in Figure 4.…”

Section: Displacement and Stress Distributionsmentioning

confidence: 99%

Antiplane–inplane shear mode delamination between two second-order shear deformable composite plates

Szekrényes

2016

Mathematics and Mechanics of Solids

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The second-order laminated plate theory is utilized in this work to analyze orthotropic composite plates with asymmetric delamination. First, a displacement field satisfying the system of exact kinematic conditions is presented by developing a double-plate system in the uncracked plate portion. The basic equations of linear elasticity and Hamilton's principle are utilized to derive the system of equilibrium and governing equations. As an example, a delaminated simply supported plate is analyzed using Lévy plate formulation and the state-space model by varying the position of the delamination along the plate thickness. The displacements, strains, stresses and the J-integral are calculated by the plate theory solution and compared with those by linear finite-element calculations. The comparison of the numerical and analytical results shows that the second-order plate theory captures very well the mechanical fields. However, if the delamination is separated by only a relatively thin layer from the plate boundary surface, then the second-order plate theory approximates badly the stress resultants and so the mode-II and mode-III J-integrals and thus leads to erroneous results.

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“…Although the contact model [29] is more realistic than the oscillatory solution, the analysis is cumbersome. In addition, the contact zone is much smaller than even the atomic dimensions for moderate values of mismatch [11,23,27,35]. The concept of a small-scale contact zone suggested by Rice [23] circumvents in terpenetration of crack faces and allows the oscillatory solution to be valid in the K-annulus, i.e., the region close to the crack tip where the asymptotic singular field dominates, outside the nonlin ear contact zone.…”

Section: Linear Elastic Interfacial Fracture Mechanicsmentioning

confidence: 99%

“…The characteristic reference length l and the mode mixities, c (l c ) A and (l c ) B , are unknowns, determined by using additional information from the interfacial toughness curve. Since the tough ness curve is a property of the bimaterial interface, the fracture toughness data of specimen sets A and B should be reproducible, independent of the specimen type (it is assumed that the toughness variation due to the specimen size, on account of K-annulus ef fects [35], are negligible). Thus, the toughness curves for a given bimaterial system, obtained from various types of test specimens, can be combined if the mode mixity, is based on the characteristic reference length, i.e., the characteristic mode mixity.…”

Section: Characteristic Mode Mixity and Characteristic Refer Ence Lenmentioning

confidence: 99%

On the Reference Length and Mode Mixity for a Bimaterial Interface

Agrawal

Karlsson

2007

Journal of Engineering Materials and Technology

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Macro-failure criterion for the theory of laminated composite structures with free edge delaminations

Cited by 17 publications

References 12 publications

Obtaining mode mixity for a bimaterial interface crack using the virtual crack closure technique

Obtaining mode mixity for a bimaterial interface crack using the virtual crack closure technique

Antiplane–inplane shear mode delamination between two second-order shear deformable composite plates

On the Reference Length and Mode Mixity for a Bimaterial Interface

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