An analytic homogenization model in traction and bending for orthotropic composite plates with the type of double corrugated cardboard

In this paper, an analytic homogenization model in traction and flexion for the double corrugated cardboard plates is presented. The proposed analytical homogenization model allows modelling the 3D double corrugated cardboard with a 2D homogenized plate. | Vietnam Journal of Mechanics, VAST, Vol. 38, No. 3 (2016), pp. 205 – 213 DOI: AN ANALYTIC HOMOGENIZATION MODEL IN TRACTION AND BENDING FOR ORTHOTROPIC COMPOSITE PLATES WITH THE TYPE OF DOUBLE CORRUGATED CARDBOARD Duong Pham Tuong Minh, Ngo Nhu Khoa∗ Thai Nguyen University of Technology, Vietnam ∗ E-mail: Received June 24, 2015 Abstract. In this paper, an analytic homogenization model in traction and flexion for the double corrugated cardboard plates is presented. The proposed analytical homogenization model allows modelling the 3D double corrugated cardboard with a 2D homogenized plate. This model is essentially based on the theory of stratification and then improved by using the theory of sandwich. This model was validated by comparing the results of Abaqus-3D and H-2D model using ”user’s subroutine” ”UGENS”. The homogenization model can be used not only for corrugated cardboard plates, but also for naval and aeronautic composite structures. Keywords: Analytical homogenization, corrugated cardboard, orthotropic plates. 1. INTRODUCTION Nowadays, the corrugated cardboard is widely used in the packaging industry, such as corrugated cardboard boxes, insert cardboard sheet in pallet systems. It is essential to predict the mechanical behavior of these systems in order to use such materials effectively. The numerical modeling of this kind of orthotropic composite plates by shell elements is too tedious and time consuming. Many homogenization models were obtained by analytical, numerical and experimental methods [1–5]. By using some FE models and commercial FE software, the mechanical behaviors of corrugated cardboard were studied by other authors [6, 7], but it just limited with the single corrugated cardboard. The corrugated cardboard is produced by a converting process in which three or more layers are laminated together. The flat layers are called liners and the corrugated cores are referred to as flutes (Fig. .

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