A theoretical study of plastic analysis of fully clamped geometrical asymmetric sandwich beams with a metal foam core

Zhang, Jianxun; Qin, Qing Hua; Wang, Zhengjin; Ai, Weilong; Wang, T.J.

doi:10.1016/j.ijmecsci.2015.04.019

Cited by 19 publications

(9 citation statements)

References 43 publications

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“…More recent treatments of indentation on a foam substrate include combined analytical and finite element studies on the effect of plastic stretching of the face sheet due to large deflections [22][23][24][25][26][27]. Both Xiao et al [23] and Xie et al [24] used an upper bound approach by assuming a velocity field and assumed that the face sheets and core are rigid, perfectly-plastic.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…Upon including shear yielding of the core, Qin et al [25] obtained a collapse load similar in form to (6) from their upper bound analysis. Qin and Wang [22] and Zhang et al [26][27] modelled the response of end-clamped sandwich beams under large deflections in their finite element calculations.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…Kinematic consistency between the face sheets and core implies c ℓ tan (27) for an angle of rotation of the beam section about its neutral axis of bending at the mid-span section, as sketched in Fig. 14b.…”

Section: Analytical Model For 3-point Bending Responsementioning

confidence: 99%

“…The indentation load (33) for small can be rewritten in terms of ̅ and ̅ using (24), (27) and (28) along with (34) as…”

Section: Analytical Model For 3-point Bending Responsementioning

confidence: 99%

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Indentation of a layer on foam substrate

Boyce

Tankasala

Fleck

2019

International Journal of Mechanical Sciences

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There is a practical need to elevate both the indentation strength and level of energy absorption of engineering foams by the addition of a stiff and strong face sheet for applications such as packaging and crash mitigation. In this study, the enhancement in plane strain indentation resistance of a polyvinyl chloride (PVC) foam by the presence of a polycarbonate (PC) face sheet is determined by experiment, finite element analysis and by an analytical model. Plane strain indentation is by a flat-bottom punch or by a cylindrical roller, and the strain distribution within the PC face sheet and in the foam substrate are measured by digital image correlation. With increasing indent depth, the face sheet bends and stretches elastically and then plastically until face sheet or substrate fail. The generation of membrane tension in the face sheet plays a major role in supporting the indentation load when the indent depth exceeds the thickness of the face sheet, and leads to a strong hardening behaviour beyond the initial collapse load for indentation. Finite element predictions of the full indentation response are based upon the measured tensile and compressive responses of the PVC foam and PC layer. An analytical model is developed by matching the stretching response of the PC face sheet to the indentation response of the underlying foam, with due consideration for load diffusion from membrane tension of the PC face sheet into the underlying foam substrate. The indentation model is calibrated by ancillary finite element simulations of the load diffusion problem, and they emphasise the role of a shear lag zone in dictating the large indentation resistance. The indentation response of the bi-layer is also compared with that of a sandwich beam in 3-point bending. Experiments, finite element simulations and an additional analytical model for indentation of the sandwich beam in 3-point bending reveal that strong hardening of the post-yield load versus displacement response is now absent, in contrast to that of the bi-layer. The lack of hardening in 3-point bending is traced to the relatively low value of plastic bending moment of the beam section.

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Section: Accepted Manuscriptmentioning

confidence: 99%

Section: Accepted Manuscriptmentioning

confidence: 99%

Section: Analytical Model For 3-point Bending Responsementioning

confidence: 99%

“…The indentation load (33) for small can be rewritten in terms of ̅ and ̅ using (24), (27) and (28) along with (34) as…”

Section: Analytical Model For 3-point Bending Responsementioning

confidence: 99%

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Indentation of a layer on foam substrate

Boyce

Tankasala

Fleck

2019

International Journal of Mechanical Sciences

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“…Metal foam sandwich structures not only meet the stiffness and strength requirements of structural parts, but also meet the requirements of high-energy absorption characteristics. Such structures have been applied to the wing of aircrafts, body of railway carriages, and hull of ships 3,4) . For connecting light alloy sheets or sandwich structures, the techniques of mechanical connection, welding, and bonding are of widespread use.…”

Section: Introductionmentioning

confidence: 99%

Self-Piercing Riveting of Metal Foam Sandwich Structures

Liu

Deng

2017

Mater. Trans.

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Metal foam sandwich structures are widely used in construction and transportation elds because of their good acoustic performance, high thermal stability, lightweight, and high stiffness. This paper deals with join-ability of self-piercing riveted metal foam sandwich structures. Self-piercing riveting tests were performed on AA5052 aluminium alloy sandwich structures embedded with different metal foams. Tensile-shear tests were conducted to characterize the mechanical properties of different self-piercing riveted metal foam sandwich structures. The results illustrate that the connection of metal foam sandwich structures can be effectively realised with the self-piercing riveting technique. The joints exhibit good forming quality and mechanical performance. For metal foam sandwich joints, the sandwich structures embedded with nickel foam exhibits the best mechanical properties. The failure modes of the self-piercing riveted sandwich structures were observed at the separation of the lower sheets and rivet.

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On the Indentation Resistance of a PC Layer on PVC Foam Substrate

2017

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The indentation response of a polycarbonate face sheet bonded to a PVC foam substrate is investigated experimentally and numerically. The deformation mode involves foam crushing, and membrane stretching of the PC layer at large indenter displacements; this is quantified using optical strain measurement techniques. The bottom corners of the foam substrate lifts off its underlying support when the foam layer is sufficiently thin. Peak load is dictated by tensile failure of the foam on the bottom face. Finite element simulations suggest that a deep foam core prevents this lift-off and results in a greater load carrying and energy absorption capacity.Polymer foams are widely used as lightweight structural materials in sandwich panels, packaging, and many other applications. Sandwich panels are prevalent throughout the automotive and aerospace industries; they provide a high strength to weight solution for structural components, and are used in applications where flexural loading is of primary concern. Typically, sandwich panels comprise a core made from polymer foam or metal foam and two face sheets made from a material of high modulus and strength, such as an aluminum alloy or glass fiber reinforced polymers. In addition to increasing the structural load-bearing capacity, the face sheets afford protection against indentation and impact. Traditional sandwich panels have face sheets of low ductility, such that an indentation load results in face sheet failure by the formation of elastic-brittle or plastic-brittle hinges at indentation displacements less than the face sheet thickness. The present study probes the indentation of a new combination of sandwich panel materials: a polyvinyl chloride (PVC) foam core and a polycarbonate (PC) face sheet. PC has a sufficiently high tensile ductility that it fails at indentation depths that are much larger than the face sheet thickness, such that the face sheet is taken into the membrane range. This gives the possibility of enhanced energy absorption.

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A theoretical study of plastic analysis of fully clamped geometrical asymmetric sandwich beams with a metal foam core

Cited by 19 publications

References 43 publications

Indentation of a layer on foam substrate

Indentation of a layer on foam substrate

Self-Piercing Riveting of Metal Foam Sandwich Structures

On the Indentation Resistance of a PC Layer on PVC Foam Substrate

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