Hiroyuki Matsunaga

TL;DR: In this paper, a set of fundamental dynamic equations of a two-dimensional (2D) higher-order theory for rectangular functionally graded (FG) shallow shells is derived by using the method of power series expansion of displacement components, by taking into account the effects of transverse shear and normal deformations, and rotatory inertia.

TL;DR: In this article, a set of fundamental dynamic equations of a two-dimensional higher-order theory for thick rectangular laminates subjected to in-plane stresses is derived through Hamilton's principle.

TL;DR: In this paper, a 2D higher-order deformation theory is presented for vibration and buckling problems of circular cylindrical shells made of functionally graded materials (FGMs) by using the method of power series expansion of continuous displacement components.

TL;DR: In this paper, a set of fundamental dynamic equations of a one-dimensional higher order theory for laminated composite beams subjected to axial stress is derived through Hamilton's principle, which can predict the natural frequencies, buckling stresses and interlaminar stresses of multilayered composite beams as accurately as three-dimensional elasticity solutions.