# Buckling analysis of simply supported composite laminates subjected to an in- plane compression load by a novel mesh-ffree method

## The results calculated by the proposed method are compared with those of existing reference solutions available in the literature and very good agreements are observed. It can be said that the proposed method can be considered as an alternative numerical technique in terms of meshfree methods. | Vietnam Journal of Mechanics, VAST, Vol. 33, No. 2 (2011), pp. 65 – 78 BUCKLING ANALYSIS OF SIMPLY SUPPORTED COMPOSITE LAMINATES SUBJECTED TO AN IN-PLANE COMPRESSION LOAD BY A NOVEL MESH-FFREE METHOD Tinh Quoc Bui University of Siegen, Germany Abstract. Buckling analysis of composite laminates under an in-plane compression load based on the mesh - free Galerkin Kriging method is presented. The moving Kriging interpolation (MK) technique possessing the delta property is employed to construct the shape functions, and thus no special techniques for imposing the essential boundary conditions are required. The present formulation is based on the Krichhoff plate theory. The applicability, the accuracy and the effectiveness of the method are illustrated through a number of numerical examples. The results calculated by the proposed method are compared with those of existing reference solutions available in the literature and very good agreements are observed. It can be said that the proposed method can be considered as an alternative numerical technique in terms of meshfree methods. Keywords: Buckling, Composite laminates, mesh - free method. 1. INTRODUCTION Multi-layered angle-ply composite structures or laminates have been increasingly considered for a variety of engineering applications. The key advantages of the composite materials are due to their good characteristics with higher stiffness-to-weight, strength-toweight ratios, etc. over the traditional materials. In modern advanced industries such as marine structures, automobile, naval, civil, construction sectors and aerospace, a thorough understanding of buckling phenomenon is necessary because of the reliability in design. Exact solutions for arbitrary geometries are very difficult to be obtained. Experiments are not only a time-consuming task but also an expensive procedure. Therefore, an approximate solution based on the numerical computational approaches is unavoidable. Many methods have been introduced to .

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