This property beside the sandwich structures placed in the center of scientists' attention due to their extraordinary effects on the mechanical properties.
The comparison is also used to evaluate the impact of thermoelastic response characteristics such as thermal relaxations, temperature frequency, and lifetime on the photo-thermoelastic response.įlexoelectricity is an interesting materials' property that is more touchable in small scales. The propagation of thermal, elastic, and plasma waves, as well as the distributions of each studied field, was investigated and described. The Laplace transform technique is used to derive the numerical expressions for the components of thermal stresses, displacement, temperature field, and carrier density. The proposed model was used to investigate the thermal and photoacoustic effects in an infinitely constrained solid cylinder of semiconductor material that was crossed into a fixed magnetic field and subjected to a high-intensity laser heal flux. The thermo-optical transition process can be understood, and the interaction between elastic plasma waves and heat can be investigated and explained using the suggested model. The current study aims to introduce a new generalized photothermal model in which heat equation is described based on the Moore–Gibson–Thompson (MGT) equation. Serious suspicions on the applicability of the modified couple stress beam model in accurately capturing the size-effects in nano-materials are emerged as evinced by rigorous examination of the elastic modulus of CNTs. Closed-form analytical formulae of the elastic modulus of Carbon Nanotubes are detected and thoroughly discussed. The flexure response of the modified couple stress beam is numerically illustrated wherein the effects of the symmetric rotation gradients along with the transverse shear deformation are examined. The exact analytical solutions of the kinematic fields of the nano-sized beam are derived by direct solving of the governing coupled differential equations.
The well-established differential conditions of equilibrium equipped with the proper mathematical form of the higher-order boundary conditions are reinstated. The physically motivated constitutive laws of the stress resultant fields, flexural moment and shear force, associated with the modified couple stress beam are introduced. The flexure mechanics of nano-scale beams in the framework of the modified couple stress theory is reassessed applying a consistent variational scheme. In view of numerous contributions accessible in the literature associated with the modified couple stress theory, its deficiency in precise description of the material response of continua with nano-structural features is investigated.
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