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Under lateral load, this article aims to discuss the large deflection and yield criterion of Y-shape sandwich beams filled with foam. Considering the effect of metal foam strength, a yield criterion of Y-shape sandwich structure filled with foam is proposed. An analytical solution for large deflection of clamped foam-filled Y-shape sandwich beam under lateral load is derived using yield criterion, considering the interaction between stretching and bending due to large deflection. The corresponding numerical calculation of sandwich beams under lateral load is carried out. It is shown that the theoretical results are in good agreement with the calculated results. The effects of metal foam strength, face-sheet thickness and punch width on large deflection are studied in detail. The results show that the analytical model could predict the large deflection of foam-filled Y-shaped sandwich beam under lateral load really well. [ABSTRACT FROM AUTHOR]

In this paper, the large deflection of the slender circular metal foam-filled tube (FFT) under transverse loading is studied theoretically and numerically. The yield criterion of the circular foam-filled tube is proposed. Using the yield criterion, the analytical solution for the plastic behavior of slender circular metal foam-filled tube under transverse loading is obtained considering the interaction between bending and stretching and foam strength. Large deflection of the circular metal foam-filled tube is numerically calculated. The analytical model captures numerical results. Influences of tube-wall thickness, punch width, foam strength, loading position and the radius of filled foam on the load-carrying capacity and energy absorption (EA) of foam-filled tubes are discussed in detail. The results show the load-carrying capacity and energy absorption of the foam-filled tubes increase with the increase of tube-wall thickness, foam strength, punch width and the radius of filled foam. • Large deflection of the slender circular metal foam-filled tube under transverse loading is studied. • The analytical solution of the plastic behavior of the circular foam-filled tube is obtained considering foam strength. • The analytical model captures the numerical results reasonably. • Load-carrying capacity and energy absorption increase with increase of tube-wall thickness, foam strength and radius of foam. [ABSTRACT FROM AUTHOR]

The paper used the analytical and numerical methods to analyze large deflection of multilayer sandwich beams with foam-filled trapezoidal corrugated and foam cores. Considering both the strength of metal foam and corrugated core, we obtained a yield criterion for the multilayer sandwich structure foam-filled trapezoidal corrugated and foam cores. Based on proposed yield criterion, we further presented an analytical solution for large deflection of such multilayer sandwich beam under transverse loading. Well agreement is achieved between analytical and numerical results. What is more, we discussed the effects of foam strength, punch size, face-sheet thickness and middle foam thickness on the plastic behaviors. • Large deflection of multilayer sandwich beams with foam-filled trapezoidal corrugated and foam cores is studied. • The yield criterion for multilayer sandwich structures with foam-filled trapezoidal corrugated and foam cores is obtained. • Analytical solutions are derived for large deflection of multilayer sandwich beams under transverse loading. • Good agreement is achieved between analytical and numerical results. • Foam strength, punch size and face-sheet thickness have significant effects on plastic behavior of sandwich beams. [ABSTRACT FROM AUTHOR]

Axial splitting and curling collapse of square sandwich metal tubes with metal foam core is investigated analytically and experimentally. The square sandwich metal tube split axially and curl outward along prefabricated cracks. Axial compressive tests of square sandwich metal tubes with prefabricated cracks are conducted and deformation modes are observed. An analytical model for axial splitting and curling behavior of square sandwich metal tube considering plastic bending, crack tearing, curling, foam compression, friction is proposed. It is demonstrated the analytical predictions are in good agreement with experimental results. Influences of foam thickness, tube thickness, die angle, prefabricated crack length, and foam strength are of vital importance to axial splitting and curling of square sandwich metal tube. • A theoretical model is proposed to predict splitting and curling of sandwich tubes. • Axial compression experiments are carried out and deformation modes are found. • Analytical solution captures the experimental results reasonably. • Effects of foam thickness, die angle are of importance to splitting and curling. • The specific energy absorption of the sandwich tube is higher than single tube. [ABSTRACT FROM AUTHOR]

• Low-velocity impact of sandwich beams with multilayer sandwich beams is analytically and numerically studied. • Analytical solutions for low-velocity impact of multilayer sandwich beams are developed. • Analytical solution captures the numerical results reasonably. • Impact position, foam strength and face-sheet thickness have significant effects on the dynamic response. The paper focuses on the dynamic response of multilayer sandwich beams with foam-filled trapezoidal corrugated and foam cores under low-velocity impact with heavy-mass using analytical and numerical methods. Based on the yield criterion for the multilayer sandwich structure, the circumscribing and inscribing loci of sandwich structure are obtained. Considering the interaction of bending and stretching, the analytical solution and "bound" solution for the dynamic response of multilayer sandwich beams with foam-filled trapezoidal corrugated and foam cores are developed. The numerical calculations are used to verify the analytical solutions, and all lie within the analytical "bound" predications. Then, the influences of impact position, foam strength and face-sheet thickness on the dynamic response of multilayer sandwich beams are discussed in detail by theoretical model. For a given deflection, the impact force decreases with impact position closer to the midspan, the impact force increases with the increase of foam strength and face-sheet thickness. The present analytical model can effectively predict the dynamic response of fully clamped multilayer sandwich beams with foam-filled trapezoidal corrugated and foam cores under low-velocity impact. [ABSTRACT FROM AUTHOR]