An effective meshless method based on the generalized finite difference (GFD) technique is developed to find the effects of strain gradient on the size-dependent Moore-Gibson-Thompson (MGT) generalized coupled non-Fickian diffusion-thermoelasticity analysis in a Love-Bishop nanorod resonator. A new MGT-based model with considering the strain gradient is proposed to obtain the shock-induced wave propagations in displacement, temperature and molar concentration fields in a Love-Bishop nanorod resonator for the first time. The transient governing equations of the size-dependent MGT generalized coupled non-Fickian diffusion-thermoelasticity are derived using the strain gradient equations of motion based on Love-Bishop theory, the size-dependent MGTbased energy balance equation and the size-dependent non-Fickian mass diffusion equation. The governing equations are transferred to Laplace domain and an effective GFD-based meshless method is employed to solve them. To obtain the temporal variation of fields’ variables, a proper Laplace inversion technique is employed in the problem. The small-scale effects in the MGT coupled non-Fickian diffusion-thermoelasticity analysis for the nano-sized Love-Bishop rods are taken into account using six small-scale parameters including three higher-order materials length parameters, the micro-length inertia, the micro-length thermal and the micro-length molar concentration parameters. The effects of small-scale parameters on wave propagations in all fields are discussed in detail.

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