Abstract In this contribution, flexural vibrations of linear elastic laminates composed thick orthotropic layers, such as cross-laminated timber, are addressed. For efficient computation, an equivalent single-layer plate theory with eight kinematic degrees freedom is derived, both in terms equations motion at the continuum level and a finite element representation. The validity demonstrated by ...

High-order finite-element (FE) analyses with inhomogeneous isotropic material properties have been shown to predict the strains and displacements on the surface of the proximal femur with high accuracy when compared with in vitro experiments. The same FE models with inhomogeneous orthotropic material properties produce results similar to those obtained with isotropic material properties. Herein...

A new elegant, powerful and accurate superposition method is presented for isotropic/specially orthotropic rectangular plates with arbitrary transverse load and arbitrary combination of free/simply-supported/clamped/guided/elastically supported edges. All the component solutions used here are infinite series equivalents of the complicated closed-form Levy-type solutions employed in the conventi...

Exact solutions for free vibration of thick rectangular orthotropic plates when their all edges are clamped sought through asymptotic analysis infinite systems without resorting to the usual truncation series solution. The use modified trigonometric functions made it possible obtain a general solution problem which has same form four cases symmetry quarter plate. Thus, an system linear algebrai...

Elastic clamping boundary conditions are derived, which describe root rotations and displacements in plate models used to analyze detaching bimaterial layers subjected arbitrary end loadings. The elasticity technique uses the reciprocity theorem J-integral calculations is applicable isotropic orthotropic of different thicknesses, also with extreme elastic constants mismatch. Explicit closed for...