Computational mechanics paper
Grygorowicz, M 2014, 'Analytical and fem studies on buckling of sandwich beams', in ST Smith (ed.), 23rd Australasian Conference on the Mechanics of Structures and Materials (ACMSM23), vol. II, Byron Bay, NSW, 9-12 December, Southern Cross University, Lismore, NSW, pp. 843-848. ISBN: 9780994152008.
The paper is devoted to the analytical and numerical studies of buckling of the three-layer beams with core from aluminium foam. Mechanical properties of this core are variable on vertical direction. Young’s modulus is the highest in the middle of the core. There are two schemes of displacement of faces and core of the beam: a broken line hypothesis and a nonlinear hypothesis. The mathematical models for both types of displacement are presented. The equations of equilibrium are written using the principle of stationary of total potential energy. Numerical analysis of sandwich beam is conducted in ANSYS environment. Finite elements analysis has been performed using a linear buckling model. The analysis is carried out for constant and variable Young’s modulus of the core of the beam. Modelling of variable Young’s modulus is difficult. To solve this problem the core is divided into several layers. Each layer is modelled with different mechanical properties. The load is applied symmetric to the faces. The values of the critical load obtained by the analytical and numerical (FEM) methods are compared.