Nonlocal integral thermoelasticity: a thermodynamic framework for functionally graded beams

Abstract

An effective nonlocal integral formulation for functionally graded Bernoulli-Euler beams in nonisothermal environment is developed. Both thermal and mechanical loadings are accounted for. The proposed model, of stress-driven integral type, is shown to be governed by a thermodynamically consistent differential problem with proper constitutive boundary conditions. The new thermoelastic strategy is illustrated by investigating a set of examples. It is demonstrated that in nonisothermal statically indeterminate problems rather complex structural behaviours can appear and that both the shift of the neutral surface and nonlocality have a dominating influence at small-scales.

References in corpus (1)

• Stress-driven modeling of nonlocal thermoelastic behavior of nanobeams

Cited by in corpus (5)

• Timoshenko nonlocal strain gradient nanobeams: Variational consistency, exact solutions and carbon nanotube Young moduli
• Deep learning framework for carbon nanotubes: mechanical properties and modeling strategies
• On thermomechanics of multilayered beams
• Dynamic behavior of nanobeams under axial loads: Integral elasticity modeling and size-dependent eigenfrequencies assessment
• On Potentials and Complementary Potentials in One-Dimensional Nonlocal Integral Formulations