Nonlinear analysis of laminated FG-GPLRC beams resting on an elastic foundation based on the two-phase stress-driven nonlocal model

Ansari, R.; Oskouie, M. Faraji; Roghani, Mehran; Rouhi, H.

doi:10.1007/s00707-021-02935-4

Cited by 17 publications

(10 citation statements)

References 45 publications

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“…The well-posedness of the problem is assured by the two additional constitutive boundary conditions. The applications of the stress-driven theory to different nanostructural problems can be found, for example, in [23][24][25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Buckling of cracked micro- and nanocantilevers

Darban

2022

Acta Mech

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The size-dependent buckling problem of cracked micro- and nanocantilevers, which have many applications as sensors and actuators, is studied by the stress-driven nonlocal theory of elasticity and Bernoulli–Euler beam model. The presence of the crack is modeled by assuming that the sections at the left and right sides of the crack are connected by a rotational spring. The compliance of the spring, which relates the slope discontinuity and the bending moment at the cracked cross section, is related to the crack length using the method of energy consideration and the theory of fracture mechanics. The buckling equations of the left and right sections are solved separately, and the variationally consistent and constitutive boundary and continuity conditions are imposed to close the problem. Novel insightful results are presented about the effects of the crack length and location, and the nonlocality on the critical loads and mode shapes, also for higher modes of buckling. The results of the present model converge to those of the intact nanocantilevers when the crack length goes to zero and to those of the large-scale cracked cantilever beams when the nonlocal parameter vanishes.

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Section: Introductionmentioning

confidence: 99%

Buckling of cracked micro- and nanocantilevers

Darban

2022

Acta Mech

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“…Furthermore, strategies to predict stiffening and dynamic responses of modern composite nano structure was proposed by Pinnola et al [18]. Non-linear analyses of laminated functionally gradedgraphene platelet-reinforced beams resting on an elastic foundation and based on twophase stress-driven non-local model were investigated by Ansari et al [19]. However, there are a no sufficient validated analytical or mathematical models of the mechanical response of GFRP-glass composite units to extract conclusions.…”

Section: State Of the Artmentioning

confidence: 99%

Material Selection and Characterization for a Novel Frame-Integrated Curtain Wall

Gargallo

Cordero²,

García-Santos

2021

Materials

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Curtain walls are the façade of choice in high-rise buildings and an indispensable element of architecture for a contemporary city. In conventional curtain walls, the glass panels are simply supported by the metal framing which transfers any imposed load to the building structure. The absence of composite action between glass and metal results in deep frames, protruding to the inside, occupying valuable space and causing visual disruption. In response to the limited performance of conventional systems, an innovative frame-integrated unitized curtain wall is proposed to reduce structural depth to one fifth (80%) allowing an inside flush finish and gaining nettable space. The novel curtain wall is achieved by bonding a pultruded glass fiber reinforced polymer (GFRP) frame to the glass producing a composite insulated glass unit (IGU). This paper selects the candidate frame and adhesive materials performing mechanical tests on GFRP pultrusions to characterize strength and elasticity and on GFRP-glass connections to identify failure module and strength. The material test results are used in a computer-based numerical model of a GFRP-glass composite unitized panel to predict the structural performance when subjected to realistic wind loads. The results confirm the reduction to one fifth is possible since the allowable deflections are within limits. It also indicates that the GFRP areas adjacent to the support might require reinforcing to reduce shear stresses.

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“…Under the circumstances, the loess will collapse and soften, so that the load will directly act on the tunnel structure, resulting in longitudinal uneven deformation under the combined effect of the local collapsibility of the loess surrounding rock and the unevenness of the soil properties after encountering water. Therefore, based on the theory of elastic foundation beams [54,55] ( Ansari R et al 2021;Campione G et al 2021), by revealing the mechanism of the permeability and collapse behavior of the loess under local collapse conditions, the internal force calculation model of metro tunnel structures under local collapse conditions can be further constructed.…”

Section: Calculation Model Of Metro Tunnel Structural Response Under Local Collapsementioning

confidence: 99%

Response Mechanism of Metro Tunnel Structure under Local Collapse in Loess Stratum

Qiu

Fan

Zhang

et al. 2021

Preprint

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Due to the frequent occurrence of large-scale water inrush accidents in metro tunnels under the condition of local collapse of loess stratum, there are few reports on the response mechanism of loess metro tunnel under the condition of local collapse. Based on the actual project of tunnel water gushing in a certain section of Xi'an Metro Line 4, the research method of combining theoretical derivation with numerical simulation is adopted, the expressions of internal force and deformation of loess metro tunnel structure under different collapsibility conditions are derived and verified by finite difference method . The results show that the development of water transport channels and the law of collapsibility morphology of loess under local collapsibility are analyzed. Based on the elastic foundation beam model, the structural response model and analytical solutions of internal force and deformation of metro tunnel under different collapsibility conditions (upper collapsibility, side collapsibility and bottom collapsibility) are derived. Combined with the actual data of water inrush accident, the calculation case of the supporting project under the upper collapsible condition is analyzed. When the water head height is 7.5 m, the internal force and deformation of the tunnel structure only occur at about 20 m of the collapsible center. The internal force and deformation of the segment in the main influence range show an obvious non-linear trend, and the strong, weak and no influence zones are defined. Moreover, the numerical simulation results are consistent with the theoretical results under the supporting conditions, which verifies that the theoretical results can effectively predict the influence range of metro tunnel structure under local collapsibility of loess stratum. This research can provide new ideas for the construction, operation and disaster prevention of metro tunnels under the condition of local collapsibility in loess stratum.

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Nonlinear analysis of laminated FG-GPLRC beams resting on an elastic foundation based on the two-phase stress-driven nonlocal model

Cited by 17 publications

References 45 publications

Buckling of cracked micro- and nanocantilevers

Buckling of cracked micro- and nanocantilevers

Material Selection and Characterization for a Novel Frame-Integrated Curtain Wall

Response Mechanism of Metro Tunnel Structure under Local Collapse in Loess Stratum

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