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It is necessary to accurately and efficiently calculate the wrinkling stresses of sandwich panels under in-plane compression. However, the simple equations used in engineering may obtain inaccurate results, whereas finite element methods with higher accuracy may be computationally expensive. This study proposes a new method for solving the wrinkling problem of sandwich panels using structural optimization theory at a low computational cost. A sandwich panel was divided into several virtual plies, which were assigned design variables to describe the vertical displacement during wrinkling. The wrinkling stress was obtained by minimizing the admissible in-plane compressive stress. The method was verified using finite element and experimental methods, as good agreement was found. The differences were less than 5% and 20% with the finite element and experimental results, respectively. Moreover, this method can easily compute the wrinkling stress of sandwich panels with functionally graded material cores with a little increase in computational cost. This method allows engineers to compute the wrinkling stress effectively and efficiently without the need for complex numerical models. [ABSTRACT FROM AUTHOR]

Additive manufacturing (AM) offers new possibilities to fabricate and design lightweight lattice materials. Due to the superior mechanical properties of these lattice structures, they have the potential to replace honeycombs as cores in sandwich panels. In addition to the advantage of the integral fabrication thanks to AM, additively manufactured lattice core sandwich panels may be also used as heat exchangers, enabling a multifunctional use of the core. To ensure a reliable and safe structure, the mechanical response of lattice core sandwich panels under given load conditions must be predictable. In conventional sandwich panels subjected to compressive loads, the sandwich's global buckling and the face sheets' local buckling are the dominant failure modes. In constrast, core strut buckling may be the critical failure mode in lattice core sandwich panels. Therefore, an analytical 2D model to predict the local buckling of lattice core struts is considered in this study. Furthermore, the critical load for global buckling is obtained based on the first-order shear deformation theory. Thus, the transition from local buckling to global buckling depending on the length-to-thickness ratio is captured by the presented model. The comparison with finite element modeling of the sandwich model with truss cores has proved the accuracy of the derived model. [ABSTRACT FROM AUTHOR]

Additive manufacturing enables the fabrication of strut-based lattices that consist of periodic representative volume elements (RVE) and can be used as cores in sandwich panels. Due to the design freedom provided by additive manufacturing, the lattice strut diameter may vary through the lattice. Thus, the diameter distribution can be adapted to the stress variation in the sandwich core to achieve an efficient core design and avoid oversizing the core. Such grading approaches are required when the core is subjected to localized loads, e.g., near support points and load application areas. In this work, an analytical model is derived to determine stresses and deformations in lattice struts of RVE-based graded lattice cores in elastic sandwich panels using homogenization and dehomogenization methods. In contrast to already available models, the analytical model presented in this work allows grading the lattice strut diameter both along the sandwich length and through the core thickness. Furthermore, local stresses in the lattice struts caused by concentrated load application can be captured adequately by the present model. To highlight the benefits of graded cores, the strut stress distribution in graded cores is compared to the stress distribution in homogeneous cores. [ABSTRACT FROM AUTHOR]