Effects of strain gradient on Moore-Gibson-Thompson generalized coupled non-fickian diffusion-thermoelasticity analysis in a Love-Bishop nanorod resonator: A size dependent meshless implementation

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 consid-ering the strain gradient is proposed to obtain the shock-induced wave propagations in displacement, temper-ature 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 MGT -based 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.

Automated summary

An effective meshless method based on the generalized finite difference (GFD) technique is developed to study the effects of strain gradient in the size-dependent Moore-Gibson-Thompson (MGT) coupled non-Fickian diffusion-thermoelasticity analysis in a Love-Bishop nanorod resonator. A new MGT-based model considering the strain gradient is proposed to investigate shock-induced wave propagations in displacement, temperature, and molar concentration fields in a Love-Bishop nanorod resonator for the first time. The governing equations are derived using the strain gradient equations, energy balance equation, and non-Fickian mass diffusion equation, and solved using the GFD-based meshless method.