On thermomechanics of multilayered beams

TL;DR

This paper investigates the complex thermomechanical behavior of multilayered nano-scale beams in nonisothermal environments, highlighting size-dependent coupling effects and introducing a novel Laplace transform-based solution method.

Contribution

It extends previous models to include nonlocal effects in multilayered nano-beams and develops a new solution approach for the resulting complex boundary value problem.

Findings

Nonlocality causes coupling between axial and transverse displacements.

The proposed method effectively solves the nonlocal thermoelastostatic problem.

Size-dependent phenomena are significant in nanoscale beam behavior.

Abstract

In this paper, the mechanical behavior of multilayered small-scale beams in nonisothermal environment is investigated. Scale phenomena are modeled by means of the mathematically well-posed and experimentally consistent stress-driven integral formulation of elasticity. The present research extends the treatment in [1] confined to elastically homogeneous nano-scopic structures. It is shown that the non-locality leads to a complex coupling between axial and transverse elastic displacements. Such a size-dependent phenomenon makes the solution of the relevant nonlocal thermoelastostatic problem, governed by a system of two ordinary differential equations with ten standard boundary conditions and non-classical constitutive boundary conditions, significantly more involved with respect to treatments in literature. Thus, a novel solution methodology, based on Laplace transforms, is proposed and illustrated by examining simple structural schemes of current applicative interest in Nanomechanics and Nanotechnology.