Analysis of antisymmetric cross-ply laminates using high-order shear deformation theories: a meshless approach
- PDF / 2,581,903 Bytes
- 21 Pages / 595.276 x 790.866 pts Page_size
- 48 Downloads / 167 Views
RESEARCH PAPER
Analysis of antisymmetric cross‑ply laminates using high‑order shear deformation theories: a meshless approach D. E. S. Rodrigues1 · J. Belinha1,2 · L. M. J. S. Dinis1,3 · R. M. Natal Jorge1,3 Received: 18 May 2020 / Revised: 19 June 2020 / Accepted: 28 July 2020 © The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract For many years finite element method (FEM) was the chosen numerical method for the analysis of composite structures. However, in the last 20 years, the scientific community has witnessed the birth and development of several meshless methods, which are more flexible and equally accurate numerical methods. The meshless method used in this work is the natural neighbour radial point interpolation method (NNRPIM). In order to discretize the problem domain, the NNRPIM only requires an unstructured nodal distribution. Then, using the Voronoï mathematical concept, it enforces the nodal connectivity and constructs the background integration mesh. The NNRPIM shape functions are constructed using the radial point interpolation technique. In this work, the displacement field of composite laminated plates is defined by high-order shear deformation theories. In the end, several antisymmetric cross-ply laminates were analysed and the NNRPIM solutions were compared with the literature. The obtained results show the efficiency and accuracy of the NNRPIM formulation. Keywords Antisymmetric cross-ply laminates · High-order shear deformation theories · Meshless methods · Natural neighbour radial point interpolation method (NNRPIM)
1 Introduction Composite laminated plates can be found in many applications of the engineering field, such as aircraft, aerospace or automotive industry, but also in vessels, biomedical industry, agriculture, infrastructures, sports, etc. Their adaptability and high specific strength make them primary structural components. Thus, they need to be studied in order to predict their failure mechanisms. Nowadays, for the numerical analysis of composite laminates, the finite element method (FEM) is the most used tool. The FEM discretizes the problem domain into smaller parts called elements. The association of these elements generates * J. Belinha [email protected] 1
Institute of Science and Innovation in Mechanical and Industrial Engineering, 4200‑465 Porto, Portugal
2
Department of Mechanical Engineering, School of Engineering, Polytechnic of Porto (ISEP), 4200‑072 Porto, Portugal
3
Department of Mechanical Engineering, Faculty of Engineering, University of Porto (FEUP), 4200‑465 Porto, Portugal
a mesh in which the nodal connectivity is imposed. The field variable is interpolated within each element using shape functions. Although its extensive use and application, FEM has some limitations. For example, in problems involving large deformations or crack propagation, it is usual to observe the distortion of the mesh, which leads to inaccurate results. The re-meshing process could be a solution,
Data Loading...
