Abstract
Abstract A new fundamental solution for laminated anisotropic Kirchhoff’s plates with out-of-plane and in-plane compressive loads is derived here. The multicompressed solution for both isotropic and anisotropic cases is obtained via the Radon Transform. Some fundamental kernels of the integral equations are described in detail. BEM results of displacements and critical buckling loads of several plates with different boundary conditions and geometries are presented. Comparisons with available analytical solutions and some published numerical results confirm the reliability and accuracy of the proposed formulation.
Highlights
Plates are important structural elements used in many engineering fields
The validation of the proposed formulation was carried out with available analytical solutions and numerical results found in the literature
We have developed new fundamental solutions using the Radon transform to solve the buckling problem for isotropic and anisotropic plates under the combined action of in-plane compressive forces/shear forces and outof-plane loads
Summary
Plates are important structural elements used in many engineering fields. For modern applications, such as in the aeronautical and automobile industries, there has been an increasing use of laminated anisotropic plates. Their usage in structural projects is highly advantageous since they are lighter and stronger than traditional materials like metals and metal alloys. The Boundary Element Method (BEM) is a well established alternative to the Finite Element Method (FEM). BEM discretizes the problem only on its boundary, which allows a reduction of the problem's dimension. When compared with FEM, BEM presents high precision on field variables
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