Three-dimensional analytical elasticity solutions in isosceles-right triangular composite laminates

Abstract

In this study, analytical solutions are derived for three-dimensional, transversely isotropic and multilayered isosceles-right triangular plates under simply supported edge conditions. For any homogeneous layer, we construct the general solution in terms of a simple formalism that resembles the Stroh formalism and the dual-variable and position method. For multilayered isosceles-right triangular plates, we derive the analytical solution by the new propagating method in terms of the symmetry theory. Numerical results clearly show the influence of load distribution, stacking sequence, and mechanical and geometric parameters on the elastic fields. The proposed solutions can also serve as benchmarks for other numerical methods such as the finite element method.