Thermoelastic diffusion model based on new C–V fractional heat–mass transport model and transient dynamic responses of laminated sandwich copper–metallic composites

Abstract Thermo‐elasto‐diffusive coupling analysis becomes crucial for the metallic solids in the ultrafast heating condition. In the present paper, a thermoelastic diffusion model is established based on new C–V heat and mass transport law with Atangana–Baleanu (AB) and Tempered‐Caputo (TC) fractional derivatives into the strain evolution law and hyperbolic heat–mass transport equation, of which the novelty is the introduction of the non‐singular fractional derivatives. This work aims to investigate transient structural dynamic response of laminated sandwich copper–metallic composites subjected to the axisymmetric impact loadings of thermal and chemical shock. The multi‐physics coupled differential governing equations are formulated and solved by adopting Laplace transformation and numerical inverse algorithm. The dimensionless results reveal that new memory‐dependent parameters, material constants ratios, and relaxation time parameters eliminate discontinuities of thermal/mechanical/chemical responses, whilst thermal/diffusive wave propagation speeds accelerated. Additionally, the isolation abilities of the harmful temperature, permeating substance, and compressive stress for surface coating adhered to interfaces of laminated sandwich copper–metallic composites are remarkably improved by properly selecting the parameters ratios.