Static behaviour of two-directional functionally graded sandwich beams using various beam theories

This paper presents the static behaviour of two-directional functionally graded sandwich beams by using the Euler-Bernoulli, Timoshenko and Reddy-Bickford beam theories and the Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The SSPH code developed based on the present formulation of the functionally graded sandwich beam is validated by solving a simply supported conventional functionally graded beam problem. Numerical results which are in terms of maximum dimensionless transverse deflections, dimensionless axial and transverse shear stresses are compared with the analytical solutions and the results from previous studies. Various FG sandwich beam structures are investigated by considering different beam theories, aspect ratios (L/h) and sets of boundary conditions and using power-law distribution.

Keywords:

Meshless method, element free, functionally graded sandwich beam SSPH method,

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