@article{article_540154, title={Static behaviour of two-directional functionally graded sandwich beams using various beam theories}, journal={New Trends in Mathematical Sciences}, volume={5}, pages={112–147}, year={2017}, author={Karamanli, Armagan}, keywords={Meshless method,element free,functionally graded sandwich beam,SSPH method}, abstract={<div style="text-align: justify; ">This paper presents the static behaviour of two-directional functionally graded sandwich beams by using the  <span style="font-size: 0.9em;">Euler-Bernoulli, Timoshenko and Reddy-Bickford beam theories and the Symmetric Smoothed Particle Hydrodynamics (SSPH)  </span> <span style="font-size: 0.9em;">method. The SSPH code developed based on the present formulation of the functionally graded sandwich beam is validated by solving  </span> <span style="font-size: 0.9em;">a simply supported conventional functionally graded beam problem. Numerical results which are in terms of maximum dimensionless  </span> <span style="font-size: 0.9em;">transverse deflections, dimensionless axial and transverse shear stresses are compared with the analytical solutions and the results  </span> <span style="font-size: 0.9em;">from previous studies. Various FG sandwich beam structures are investigated by considering different beam theories, aspect ratios  </span> <span style="font-size: 0.9em;">(L/h) and sets of boundary conditions and using power-law distribution. </span> </div>}, number={2}, publisher={Mustafa BAYRAM}