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In this paper, the plastic behavior of metal sandwich beams with foam-filled sinusoidal corrugation is studied theoretically and numerically. The yield criterion of foam-filled sinusoidal corrugation sandwich cross-section is established, considering the effects of metal foam strength and sinusoidal corrugation strength. Based on the yield criterion, an analytical model for the plastic behavior of fully clamped foam-filled sinusoidal corrugation sandwich beams under transverse loading is developed, considering the interaction of axial force and bending moment. Finite element calculations are carried out to verify the analytical model. The influences of geometrical and material parameters on the load-carrying capacity and energy absorption of foam-filled sinusoidal corrugation sandwich beams are discussed. The results show that, with the increase of foam strength, face-sheet thickness, sinusoidal corrugation strength, sinusoidal corrugation sheet thickness, sinusoidal amplitude, sinusoidal half wavelength and punch width, the load-carrying capacity and energy absorption of foam-filled sinusoidal corrugation sandwich beams increase. In addition, when the loading position moves from the midspan to the clamped ends, the load and absorbed energy for the same deflection increase obviously. [ABSTRACT FROM AUTHOR]

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]

• Plastic behavior of foam-filled sandwich beams with circular tube core under transverse loading is studied. • Analytical model for the plastic behavior of the foam-filled sandwich beam with circular tube core is developed. • Analytical results are in good agreement with numerical ones. • Load-carrying capacity of sandwich beams increase with increase of foam strength, face-sheet thickness, tube-wall thickness. Under transverse loading, the plastic behaviour of the foam-filled sandwich beam with circular tube core is researched by numerical and analytical ways in this paper. The yield condition of the foam-filled sandwich section with circular tube core is proposed firstly. Based on the yield condition, the analytical model for the plastic behaviour of the foam-filled sandwich beam with circular tube core under transverse loading is developed, in consideration of the interaction of stretching and bending moment and the strength effect. To make ensure the correctness of the analytical model, the finite element analysis is carried out, and the analytical results are in good agreement with numerical ones. On the basis, the influences of structural and material parameters about load-bearing ability and energy-absorbing ability of foam-filled sandwich beams with circular tube core are discussed by analytical solutions. The results show that, with the increase of foam strength, face-sheet thickness, tube-wall thickness and the width of punch, the load-bearing ability and energy-absorbing ability of the foam-filled sandwich beams with circular tube core increase. In addition, when the loading location is close to the clamped end, the load-bearing ability and energy-absorbing ability of the foam-filled sandwich beam with circular tube core increases significantly. [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]

In this paper, the plastic behavior of a fully clamped sandwich beam with fiber metal laminate (FML) face-sheets and metal foam core under transverse loading is analytically and numerically studied. Based on the modified rigid plastic model, the analytical solution for large deflection of FML sandwich beams under transverse loading is given, in which the local denting deformation is considered. Finite element results are conducted, and analytical solutions capture numerical results reasonably. The influences of material and geometrical parameters on the plastic behavior of FML sandwich beams are considered. The results show that the present analytical model can be used to predict the plastic behavior of fully clamped FML sandwich beams considering the local denting deformation. • Plastic behavior of sandwich beams with fiber metal laminate (FML) face-sheets is studied. • A simplified formula for plastic behavior of FML sandwich beams is obtained considering local denting. • Analytical solutions capture numerical results reasonably. [ABSTRACT FROM AUTHOR]