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Nonlocal integral thermoelasticity: A thermodynamic framework for functionally graded beams

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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… Click to show full abstract

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.

Keywords: integral thermoelasticity; functionally graded; nonlocal integral; framework functionally; thermodynamic framework; thermoelasticity thermodynamic

Journal Title: Composite Structures
Year Published: 2019

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