Nonlinear Thermoelastic Dynamic Responses of Auxetic Nanocomposites and Energy Absorption Characteristics Exposed to Wave Propagation Jagannath Debasis Parhi, Tarapada Roy, Subrata Kumar Panda International Journal of Bifurcation and Chaos, 2026 This work reports the analytical solutions of thermoelastic nonlinear dynamic responses and the energy absorption capacity of a polymer nanocomposite structure made of Carbon Nanotube-Reinforced Composites (CNTRC) having a Negative Poisson’s Ratio (NPR). A distinct layer stacking sequence is mathematically developed within the polymer nanocomposite to achieve NPR characteristics. Further, the nanocomposite structural model is derived using the higher-order deformation kinematics and von-Karman nonlinear strain to obtain the desired system governing equations of motion. The final form of the equation is obtained through Hamilton’s principle and solved through Galerkin’s steps. From the analysis of the auxetic behavior of the CNTRC-NPR laminated structures, it is found that the 14% CNTs volume fraction provides a higher NPR as compared to 11% and 17% volume fractions of CNTs. It is also observed that at 14% CNTs volume fraction exhibits more than −1.0 Poisson’s ratio at 300[Formula: see text]K, whereas it is around −1.6 at 500[Formula: see text]K. The dynamic behavior of CNTRC-NPR structures under transverse stimulation at different temperatures is investigated using time response, phase space diagram, jump phenomena, and Poincaré Maps (PCM). It is observed in the PCM that when the temperature increases from 300[Formula: see text]K to 500[Formula: see text]K, the jump-down frequency decreases, and the structure becomes softer. Additionally, the Bifurcation Diagrams (BFD) are plotted to determine the structure’s chaotic paths. In addition, the NPR structures are well-known for their energy-absorbing properties, and the analysis was extended to compute the same under the influence of shock loading at various temperature conditions. From the BFD analysis, it is found that the CNTRC-NPR structure has the ability to absorb more energy at 500[Formula: see text]K. Finally, the analysis also exhibits the wave propagation behavior of the proposed CNTRC-NPR structure to realize the NPR and non-NPR characteristics under varying temperatures.
Nonlinear Dynamic and Energy Absorption Characteristics of Auxetic Graded Nanotube-Reinforced Polymeric Composite Beams Jagannath Debasis Parhi, Tarapada Roy, Subrata Kumar Panda International Journal of Structural Stability and Dynamics, 2025 A mathematical model is developed for nonlinear dynamic analysis in order to study the energy absorption (EA) and dissipation capacities of the functionally graded carbon nanotube-reinforced composites (FG-CNTRC) beam, including negative Poisson’s ratio (NPR). The displacement kinematic relations are derived using higher-order shear deformation theory, and the governing equations of motion are developed using Hamilton’s principle and Galerkin’s technique. The dynamic responses of the FG-CNTRC-NPR beams under transverse excitation are analyzed analytically via time series time responses. The developed mathematical modeling may be useful for the complete analysis of nonlinear dynamics, EA and frequency responses, which relate to the actual behavior of the nonlinear dynamics and EA. Further, the phase diagram, Poincaré maps (PCM), and the routes of chaotic responses have been computed numerically and presented through the bifurcation diagrams. In addition, the presentation of the stiffening and softening feature is accompanied by the jumps phenomena that are related to the dynamics of the FG-CNTRC-NPR shapes. After subjecting the FG-CNTRC-NPR beams to shock loading, their EA capabilities were measured and evaluated. Based on the different outcomes, it is clear that the suggested auxetic structures’ EA and dissipation capabilities are significantly affected by the NPRs and the variation in the proportion of carbon nanotube (CNT) volume fractions through the thickness direction. As compared to non-auxetic beam, the auxetic FG-CNTRC beam has a greater capacity of EA and dissipation, which may also be suitable for use in damping applications.
Nonlinear dynamic study of FG-GFRC-NPR structures Jagannath Debasis Parhi, Tarapada Roy, Anup Kumar, Salur Srikant Patnaik Engineering Research Express, 2024 The functionally graded glass fibre-reinforced polymer composite(FG-GFRC) is one of the contemporary sophisticated materials that may be employed for a variety of technical purposes. The shock absorption capacity of FG-GFRP laminates can be improved by incorporating auxetic property (i.e., negative Poisson's ratio NPR) in the structures, which can be attained by a particular stacking sequence of glass fibres (GF) and a different percentage of GF distribution along the thickness direction within the FG-GFRP structure. The nonlinear dynamic behaviour of such structures must be investigated. The clamped-clamped FG-GFRP-NPR structure is stimulated under a uniform transverse load distribution in the current work. Based on the higher-order shear deformation theory (SDT), the displacement field and nonlinear stress–strain relationship are derived. The nonlinear differential equation with cubic non-linear components were derived using Hamilton’s principle and transformed using Galerkin’s technique and obtained governing equation of motion. MATLAB has been used to conduct all numerical simulations. A time series, a phase picture and a Poincare diagram (PCM) were generated to characterize the vibration behavior of such auxetic structures.
Chaotic vibration analysis of auxetic nanocomposite structures Jagannath Debasis Parhi, Tarapada Roy JVC Journal of Vibration and Control, 2023 The present work deals with the study of nonlinear vibration behaviours of the carbon nanotube reinforced composite structures having negative Poisson’s ratio (CNTRC-NPR). Such types of flexible auxetic structures have many applications in various engineering fields. Based on classical laminated theory, auxetic structures can be designed by some special stacking sequence of layers in the laminated composites. A mathematical model is formulated for nonlinear vibration analysis of the clamped-clamped CNTRC-NPR beam under the time varying uniformly distributed transverse load. The present formulation is based on the Reddy’s third-order shear deformation theory and the governing equation of motion of such beam is derived by using the Hamilton’s principle. Based on the Galerkin’s method, the obtained governing partial differential equations are converted to an ordinary nonlinear second-order differential equation for the analysis of out plane vibration. The obtained vibrations of such auxetic structures are discussed using time series waveforms, phase portraits and Poincare maps, and the route of chaotic vibration of such structures is found and reported based on the bifurcation diagrams. The jump phenomena associated with the dynamics have also been characterized. Nonlinear vibrations of without and with auxetic nanocomposite structures have also been compared. It is found that the amplitude of transverse force of excitation is the controlling parameter of nonlinear dynamics of such CNTRC-NPR structures.
NONLINEAR DYNAMIC ANALYSIS OF AUXETIC GFRC COMPOSITE STRUCTURES Proceedings of the International Congress on Sound and Vibration, 2022
RECENT SCHOLAR PUBLICATIONS
Nonlinear Thermoelastic Dynamic Responses of Auxetic Nanocomposites and Energy Absorption Characteristics Exposed to Wave Propagation SKP Jagannath Debasis Parhi, Tarapada Roy × International Journal of Bifurcation and Chaos , 2026 2026
Heat transfer enhancement and material transformation in spray quenching of AISI 304 steel with carbon nanotube-infused coolant S Mohanty, A Sahoo, JD Parhi, GS Dixit, SS Mohapatra Heat and Mass Transfer 62 (5), 49 , 2026 2026
Nonlinear Dynamic and Energy Absorption Characteristics of Auxetic Graded Nanotube-Reinforced Polymeric Composite Beams JD Parhi, T Roy, SK Panda International Journal of Structural Stability and Dynamics, 2650388 , 2025 2025 Citations: 3
PIN-ON-DISK TESTER WITH INTEGRATED RECIPROCATING MOTION MECHANISM DRVEDPDPSDRSPDRSMDRJDPDRJK PRUSTY IN Patent 446255-001 , 2025 2025
Nonlinear vibration and energy absorption responses of auxetic sandwich nanocomposite structures JD Parhi, T Roy Journal of Vibration Engineering & Technologies 13 (2), 164 , 2025 2025 Citations: 6
Nonlinear dynamic study of FG-GFRC-NPR structures JD Parhi, T Roy, A Kumar, SS Patnaik Engineering Research Express 6 (3), 035537 , 2024 2024 Citations: 4
The identification of critical limits of crown diameter and jet height in terms of thermophysical properties of liquid pool and droplet KP Ravi Kumar, JD Parhi, A Sahoo, SS Mohapatra Journal of The Institution of Engineers (India): Series E 105 (1), 21-32 , 2024 2024 Citations: 1
Nonlinear Dynamics and Energy Absorption Analyses of Auxetic Nanocomposite Structures JD Parhi 2024
Optimum Path Selection in Multi-static Obstacle Environment Using A* Algorithm for Minimum Diversion of Robot A Kumar, JD Parhi, T Roy, N Kumar International Conference on Processing and Characterization of Materials … , 2023 2023
Chaotic vibration analysis of auxetic nanocomposite structures JD Parhi, T Roy Journal of Vibration and Control 29 (19-20), 4687-4705 , 2023 2023 Citations: 12
Chaotic Vibration Analysis of Nano Composite Doubly Curved Shell Structure JD Parhi, T Roy, S Mishra International Conference on Recent Advances in Mechanical Engineering 2022 … , 2023 2023 Citations: 3
Nonlinear dynamic analysis of auxetic gfrp composite structures JD Parhi, T Roy 28th International Congress on Sound and Vibration., https://www.scopus.com … , 2022 2022 Citations: 2
MOST CITED SCHOLAR PUBLICATIONS
Chaotic vibration analysis of auxetic nanocomposite structures JD Parhi, T Roy Journal of Vibration and Control 29 (19-20), 4687-4705 , 2023 2023 Citations: 12
Nonlinear vibration and energy absorption responses of auxetic sandwich nanocomposite structures JD Parhi, T Roy Journal of Vibration Engineering & Technologies 13 (2), 164 , 2025 2025 Citations: 6
Nonlinear dynamic study of FG-GFRC-NPR structures JD Parhi, T Roy, A Kumar, SS Patnaik Engineering Research Express 6 (3), 035537 , 2024 2024 Citations: 4
Nonlinear Dynamic and Energy Absorption Characteristics of Auxetic Graded Nanotube-Reinforced Polymeric Composite Beams JD Parhi, T Roy, SK Panda International Journal of Structural Stability and Dynamics, 2650388 , 2025 2025 Citations: 3
Chaotic Vibration Analysis of Nano Composite Doubly Curved Shell Structure JD Parhi, T Roy, S Mishra International Conference on Recent Advances in Mechanical Engineering 2022 … , 2023 2023 Citations: 3
Nonlinear dynamic analysis of auxetic gfrp composite structures JD Parhi, T Roy 28th International Congress on Sound and Vibration., https://www.scopus.com … , 2022 2022 Citations: 2
The identification of critical limits of crown diameter and jet height in terms of thermophysical properties of liquid pool and droplet KP Ravi Kumar, JD Parhi, A Sahoo, SS Mohapatra Journal of The Institution of Engineers (India): Series E 105 (1), 21-32 , 2024 2024 Citations: 1
Nonlinear Thermoelastic Dynamic Responses of Auxetic Nanocomposites and Energy Absorption Characteristics Exposed to Wave Propagation SKP Jagannath Debasis Parhi, Tarapada Roy × International Journal of Bifurcation and Chaos , 2026 2026
Heat transfer enhancement and material transformation in spray quenching of AISI 304 steel with carbon nanotube-infused coolant S Mohanty, A Sahoo, JD Parhi, GS Dixit, SS Mohapatra Heat and Mass Transfer 62 (5), 49 , 2026 2026
PIN-ON-DISK TESTER WITH INTEGRATED RECIPROCATING MOTION MECHANISM DRVEDPDPSDRSPDRSMDRJDPDRJK PRUSTY IN Patent 446255-001 , 2025 2025
Nonlinear Dynamics and Energy Absorption Analyses of Auxetic Nanocomposite Structures JD Parhi 2024
Optimum Path Selection in Multi-static Obstacle Environment Using A* Algorithm for Minimum Diversion of Robot A Kumar, JD Parhi, T Roy, N Kumar International Conference on Processing and Characterization of Materials … , 2023 2023
