Geometrically nonlinear theory of multilayered plates with interlayer slips

Sciuva, Marco Di

doi:10.2514/3.13741

Cited by 19 publications

(67 citation statements)

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“…Later, other researchers [29][30][31][32] noted problems in the theories ''which become inaccurate when bonding imperfections are present'' [29]. Over the last decade the approach proposed in [14][15][16][17] was then essentially abandoned by the authors in favor of other approaches. However, the models formulated in [14][15][16][17] are still extensively used in the literature and it is therefore important to solve their inconsistencies.…”

Section: Introductionmentioning

confidence: 98%

“…While the theories proposed in [14][15][16][17] for systems with imperfect interfaces, and later extended to treat various problems in [18][19][20][21][22][23][24][25][26][27][28], might have enormous advantages over other approaches to treat many different problems in different fields of engineering, since they are able to account for discontinuous displacement fields with a number of unknowns equal to those of single layer theories, they present some problems. These problems were already noted by Cheng, Jemah and Williams in the original paper [14], where ''unexpected patterns'' were observed for the transverse shear stresses and stress resultants in plates with imperfect interfaces on varying the stiffness of the interfaces.…”

Section: Introductionmentioning

confidence: 99%

“…Over the last decade the approach proposed in [14][15][16][17] was then essentially abandoned by the authors in favor of other approaches. However, the models formulated in [14][15][16][17] are still extensively used in the literature and it is therefore important to solve their inconsistencies.…”

Section: Introductionmentioning

confidence: 99%

“…To try and overcome this problem, the authors recently proposed in [9][10][11] to use a novel approach to study delamination damage progression in plates and shells with cohesive interfaces. The idea is to remove the discretization in the thickness direction and extend to these systems theories which were originally formulated for plates with perfectly bonded interfaces by Di Sciuva in [12,13] and for plates with imperfect, purely elastic interfaces by Cheng et al [14], Schmidt and Librescu [15] (later extended to shells in [17]) and Di Sciuva [16].…”

Section: Introductionmentioning

confidence: 99%

“…The theories for plates with imperfect interfaces [14][15][16] use a linear spring-layer model to describe zero-thickness imperfect interfaces joining adjacent layers. The displacements in the plate are postulated as two length-scales fields, given by global displacements, which are C 1 continuous in the thickness, and local perturbations or enrichments to account for the multilayered structure and the displacement jumps at the interfaces, Fig.…”

Section: Introductionmentioning

confidence: 99%

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Assessment and correction of theories for multilayered plates with imperfect interfaces

Massabò

Campi

2014

Meccanica

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The response of multilayered plates with imperfectly bonded interfaces and delaminations to quasi static and dynamic loadings is conveniently studied by assuming the displacements as two length-scales fields, given by global displacements, which are continuous in the thickness, and local perturbations or enrichments, which account for the multilayered structure and the jumps at the interfaces. The a priori imposition of interfacial continuity conditions then leads to a homogenized field defined by the global variables only. The number of displacement unknowns is independent of the number of layers and is equal to five or six, for sliding or mixed mode interfaces, respectively. Dynamic equilibrium equations are derived using variational principles. This effective idea, which was originally proposed in the zigzag theories for fully bonded plates, was first applied to plates with imperfect interfaces by Cheng, Jemah and Williams, J. Appl. Mech., 1996, 63, 1019-1026, Schmidt and Librescu, Nova J. Mathematics, Game Theory and Algebra, 1996, 5, 131-147, and Di Sciuva, AIAA Journal, 1997, 35(11), 1753-1759. These pioneering models, as all subsequent models which extend the theories to various problems, suffer from a common omission in the treatment of the interfacial energy in the derivation of the equilibrium equations, which leads to solutions which are accurate only for fully bonded/debonded plates. In this paper a linear, first order model which resolves the inaccuracy and extends the theories to more general interfacial traction laws is presented along with the corrected formulations of the original models. The formulations are validated using exact 2D elasticity solutions for multilayered plates in cylindrical bending

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Assessment and correction of theories for multilayered plates with imperfect interfaces

Massabò

Campi

2014

Meccanica

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A survey of recent shell finite elements

Yang

Saigal

Masud

et al. 2000

Int. J. Numer. Meth. Engng.

264

126

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Since the mid-1960s when the forms of curved shell "nite elements were originated, including those pioneered by Professor Gallagher, the published literature on the subject has grown extensively. The "rst two present authors and Liaw presented a survey of such literature in 1990 in this journal. Professor Gallagher maintained an active interest in this subject during his entire academic career, publishing milestone research works and providing periodic reviews of the literature. In this paper, we endeavor to summarize the important literature on shell "nite elements over the past 15 years. It is hoped that this will be a be"tting tribute to the pioneering achievements and sustained legacy of our beloved Professor Gallagher in the area of shell "nite elements. This survey includes: the degenerated shell approach; stress-resultant-based formulations and Cosserat surface approach; reduced integration with stabilization; incompatible modes approach; enhanced strain formulations; 3-D elasticity elements; drilling d.o.f. elements; co-rotational approach; and higher-order theories for composites.

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An accurate stress analysis model for angle-ply laminates with weakly bonded layers

Shu

Soldatos

2001

Acta Mechanica

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Geometrically nonlinear theory of multilayered plates with interlayer slips

Cited by 19 publications

References 0 publications

Assessment and correction of theories for multilayered plates with imperfect interfaces

Assessment and correction of theories for multilayered plates with imperfect interfaces

A survey of recent shell finite elements

An accurate stress analysis model for angle-ply laminates with weakly bonded layers

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