Research Areas:
Stability of Plates and Shells Dynamic Instability
Dynamic Buckling
Non-linear Vibration
Multi-Scale Composites
Non-linear Dynamics and Chaos
Sponsored Projects:
Postbuckling analysis of CNT-Reinforced composite plates under different types of in-plane mechanical loads. Amount- INR 2 lakhs, Research Initiation Grant, BITS Pilani, Duration-2 years, Dec. 2017- Nov. 2019, (Completed)
Failure analysis of MWCNTs-reinforced laminated composite plate subjected to mechanical loads. Amount- INR 8.8 lakhs, Additional Competitive Research Grant, BITS Pilani, Duration-2 years, Feb. 2019 - Jan. 2021, (Completed)
Development of Semi-Analytical Methodology as a Design Aid for Small-Scale Structures using Non-Classical Continuum Mechanics. DST-SERB (SUR/2022/000828), Duration-3 years, (Approved)
Structural stability analysis of thin-walled steel structures subjected to elevated temperature due to fire. Amount-INR 52.0804 lakhs, The Scheme for Promotion of Academic and Research Collaboration (SPARC), Duration-2 years, (Approved)
Journals:
Varun Jain, R Kumar, Gaurav Watts, Md Rushdie Ibne Islam, Vishal Singh (2023). Size-dependent Nonlinear Free and Forced Vibration analyses of a Functionally Graded Microplate subjected to Transverse Patch Loading. Journal of Engineering Mechanics (Accepted)
Varun Jain, R Kumar, S.N. Patel & Tanish Dey (2023). Geometrically Nonlinear Dynamic Analysis of a Damped Porous Microplate resting on Elastic Foundations under In-Plane Nonuniform Excitation. Mechanics Based Design of Structures and Machines, An International Journal, https://doi.org/10.1080/15397734.2023.2232845
S Chakraborty, V Singh, T Dey, R Kumar (2023). Influence of Carbon Nanotubes on Stability and Vibration Characteristics of Plates and Panels in Thermal Environment -A Review. Archives of Computational Methods in Engineering (Accepted).
V Jain, R Kumar (2023). Geometrically nonlinear dynamic analysis of a damped porous microplate resting on elastic foundations under transverse patch loadings. Mechanics of Advanced Materials and Structures, 1-24, https://doi.org/10.1080/15376494.2023.2216273.
D Fayaz, SN Patel, R Kumar, G Watts (2023). Nonlinear dynamic instability of laminated composite stiffened plates subjected to in-plane pulsating loading. Mechanics of Advanced Materials and Structures, 1-32, https://doi.org/10.1080/15376494.2023.2216692.
V Sengar, M Nynaru, G Watts, R Kumar, S Singh (2023). Postbuckled vibration behaviour of skew sandwich plates with metal foam core under arbitrary edge compressive loads using isogeometric approach. Thin-Walled Structures 184, 110524.
V Jain, R Kumar, A Yadav (2023). Size-dependent nonlinear vibration and instability of a damped microplate subjected to in-plane parametric excitation. Thin-Walled Structures 184, 110476.
R Kumar (2023). Pre-buckling vibration and buckling analyses of composite skew plate: An analytical investigation. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 237 (3), 603-616.
R Kumar, V Singh, T Dey, D Bhunia, SN Patel, V Jain (2022). Nonlinear analysis of sandwich plate with FG porous core and RD-CNTCFRC face sheets under transverse patch loading. Acta Mechanica 233 (11), 4589-4614.
S Dash, S Chakraborty, T Dey, R Kumar (2022). Buckling and free vibration analysis of randomly distributed CNT reinforced composite beam under thermomechanical loading. European Journal of Mechanics-A/Solids 96, 104749.
A Yadav, M Amabili, SK Panda, T Dey, R Kumar (2022). A semi-analytical approach for instability analysis of composite cylindrical shells subjected to harmonic axial loading. Composite Structures 296, 115882.
S Chakraborty, T Dey, V Singh, R Kumar (2022). Thermal Stability Analysis of Three-Phase CNTRFC Cylindrical Shell Panels. Journal of Aerospace Engineering 35 (5), 04022074.
V Singh, R Kumar, SN Patel, N Roy (2022). Nonlinear response and buckling of imperfect plates under in-plane pulse forces: A semi-analytical investigation. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 46 (3), 633-648.
G Watts, R Kumar, S Singh, V Sengar, GR Reddy, SN Patel (2022). Postbuckling and postbuckled vibration behaviour of imperfect trapezoidal sandwich plates with FG-CNTRC face sheets under nonuniform loadings. Aerospace Science and Technology 127, 107716.
V Keshav, SN Patel, R Kumar, G Watts (2022). Effect of Cutout on the Stability and Failure of Laminated Composite Cylindrical Panels Subjected to In-Plane Pulse Loads. International Journal of Structural Stability and Dynamics 22 (08), 2250087.
V Singh, R Kumar (2022). A semi-analytical framework for non-linear dynamic response of multi-phase laminated composite plate under the transverse patch and in-plane pulse localized loadings. Mechanics of Advanced Materials and Structures, 1-28, https://doi.org/10.1080/15376494.2022.2085827.
V Singh, R Kumar (2022). A semi‐analytical framework for time history response of a carbon nanotube‐reinforced polymer damped composite plate: Influence of instability regions. Polymer Composites 43 (2), 1186-1212
T Dey, E Jansen, R Kumar, R Rolfes (2022). Instability characteristics of variable stiffness laminated composite curved panels under non-uniform periodic excitation. Thin-Walled Structures 171, 108735
V Singh, R Vescovini, R Kumar SN Patel, G Watts (2022). Nonlinear vibration and instability of a randomly distributed CNT-reinforced composite plate subjected to localized in-plane parametric excitation. Applied Mathematical Modelling 101, 453-480
A Yadav, M Amabili, SK Panda, T Dey, R Kumar (2021). Nonlinear damped vibrations of three-phase CNT-FRC circular cylindrical shell. Composite Structures 255, 112939. SCI Indexed.
V Keshav, SN Patel, R Kumar (2021). Non-linear stability and failure of laminated composite stiffened cylindrical panels subjected to in-plane impulse loading. Structures 29, 360-372, SCI Indexed.
R Kumar, LS Ramachandra, B Banerjee (2021). Dynamic instability characteristic of damped laminated composite conical shell panel under periodic axial compression. Mechanics of Advanced Materials and Structures 28 (5), 441-456, SCI Indexed.
V Singh, R Kumar, SN Patel, N Roy (2021). Nonlinear Response and Buckling of Imperfect Plates Under In-Plane Pulse Forces: A Semi-analytical Investigation. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 1-16, SCI Indexed.
V Singh, R Kumar, V Jain, T Naveen Kumar, SN Patel (2021). Semi-analytical Development of Dynamic Instability and Response of a Multiscale Laminated Hybrid Composite Plate. Journal of Aerospace Engineering 34 (3), 04021005, SCI Indexed.
R Kumar, V Singh, SN Patel, T Dey (2021). Non-linear response and buckling of imperfect laminated composite plates under in-plane pulse forces. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, (0954406221996391), SCI Indexed.
A Yadav, M Amabili, SK Panda, T Dey, R Kumar (2021). Forced nonlinear vibrations of circular cylindrical sandwich shells with cellular core using higher-order shear and thickness deformation theory. Journal of Sound and Vibration, 510 (116283), SCI Indexed.
G Watts, R Kumar, SN Patel, S Singh (2021). Dynamic instability of trapezoidal composite plates under non-uniform compression using moving kriging based meshfree method". Thin-Walled Structures 164, 107766, SCI Indexed.
V Singh, R Kumar, SN Patel (2021). Non-linear vibration and instability of multi-phase composite plate subjected to non-uniform in-plane parametric excitation: Semi-analytical investigation". Thin-Walled Structures 162, 107556, SCI Indexed.
V Singh, R Kumar, SN Patel, T Dey, SK Panda (2021). Instability and Vibration Analyses of Functionally Graded Carbon Nanotube–Reinforced Laminated Composite Plate Subjected to Localized In-Plane Periodic Loading. Journal of Aerospace Engineering 34 (6), 04021072, SCI Indexed.
R Kumar, T Dey, SK Panda (2019). Instability and vibration analyses of FG cylindrical panels under parabolic axial compressions. Steel and Composite Structures 31 (2), 187-199, SCI Indexed.
S Chakraborty, T Dey, R Kumar (2019). Stability and vibration analysis of CNT-Reinforced functionally graded laminated composite cylindrical shell panels using semi-analytical approach. Composites Part B: Engineering 168, 1-14, SCI Indexed.
V Keshav, SN Patel, R Kumar (2019). Stability and failure study of suddenly loaded laminated composite cylindrical panel. International Journal of Applied Mechanics 11 (10), 1950093, SCI Indexed.
A Kumar, SK Panda, SC Dutta, R Kumar (2019). Vibration and buckling of skew plates under linearly varying edge Compression. International Journal of Acoustics and Vibration (IIAV) 24(2), 271-283, SCI Indexed.
R Kumar, S Mondal, S Guchhait, R Jamatia (2017). Analytical approach for dynamic instability analysis of functionally graded skew plate under periodic axial compression. International Journal of Mechanical Sciences 130, 41-51, SCI Indexed.
R Kumar, LS Ramachandra, B Banerjee (2017). Semi-analytical approach for thermal buckling and postbuckling response of rectangular composite plates subjected to localized thermal heating. Acta Mechanica 228, 1767-1791, SCI Indexed.
T Dey, R Kumar, SK Panda (2016). Postbuckling and postbuckled vibration analysis of sandwich plates under non-uniform mechanical edge loadings. International Journal of Mechanical Sciences 115, 226-237 (2016), SCI Indexed.
R Kumar, LS Ramachandra, B Banerjee (2016). Nonlinear Stability Characteristics of Composite Cylindrical Panel Subjected to Non-uniform In-plane Mechanical and Localized Thermal Loadings. Proceeding of Indian National Science Academy 82 (02), 271-288, Scopus Indexed.
R Kumar, SC Dutta, SK Panda (2016). Linear and non-linear dynamic instability of functionally graded plate subjected to non-uniform loading. Composite Structures 154, 219-230, SCI Indexed.
R Kumar, B Banerjee, LS Ramachandra (2016). Nonlinear stability and dynamics of composite skew plates under nonuniform loadings using differential quadrature method. Mechanics Research Communications 73, 76-90, SCI Indexed.
A Kumar, SK Panda, R Kumar (2015). Buckling behaviour of laminated composite skew plates with various boundary conditions subjected to linearly varying in-plane edge loading. International Journal of Mechanical Sciences 100, 136-144, SCI Indexed.
SK Panda, R Kumar, LS Ramachandra (2015). Post-buckled vibration characteristic of composite cylindrical shell panels under parabolic in-plane edge compression. International Journal of Applied Mechanics 7 (03), 1550035 (2015), SCI Indexed.
R Kumar, A Kumar, SK Panda (2015). Parametric resonance of composite skew plate under non-uniform in-plane loading. Structural Engineering and Mechanics 55 (2), 435-459, SCI Indexed.
R Kumar, LS Ramachandra, B Banerjee (2015). Dynamic instability of damped composite skew plates under non-uniform in-plane periodic loading. International Journal of Mechanical Sciences 103, 74-88, SCI Indexed.
A
Kumar, SK Panda, R Kumar (2014). Dynamic instability of
composite skew plates using boundary characteristic orthogonal polynomials.
International Journal of Applied Mechanics 6 (06), 1450078, SCI Indexed.
Book Chapters:
LS Ramachandra, T Dey, R Kumar (2022). Stability of Plates and Shell Panels Under Non-uniform In-Plane Loadings. Stability and Failure of High Performance Composite Structures, Composites Science and Technology, Springer Nature Singapore, 143-165.
SN Patel, VGR Kumar, R Kumar (2022), Postbuckling Study of the Laminated Composite Stiffened Plates Subjected to Parabolic In-Plane Loading. Stability and Failure of High Performance Composite Structures, Composites Science and Technology, Springer Nature Singapore, 341-361.
Drishya Sajeev, Farzan A Azeez, R Kumar, Vishal Singh (2022), Nonlinear Vibration of Functionally Graded Porous-Cellular Timoshenko Beam Subjected to In-Plane Periodic Loading. Stability and Failure of High Performance Composite Structures, Composites Science and Technology, Springer Nature Singapore, 363-377.
V Singh, R Kumar, BG Mohapatra, M Saha, SN Patel (2022), Nonlinear Vibration of Functionally Graded CNT-Reinforced Composite Plate Under Nonuniform In-Plane Loading. Recent Developments in Sustainable Infrastructure (ICRDSI-2020)—Structure and Construction Management: Conference Proceedings from ICRDSI-2020 Volume 1, Springer Nature Singapore, 47-58.
D Fayaz, SN Patel, R Kumar (2022). Analytical and Numerical Study of Fractured Isotropic and Composite Plates Under Mode-I Crack Extension. Recent Developments in Sustainable Infrastructure (ICRDSI-2020)—Structure and Construction Management: Conference Proceedings from ICRDSI-2020 Volume 1, Springer Nature Singapore, 581-593.
Vishal Singh, R Kumar, SN Patel (2022), Dynamic Instability of CNT-Reinforced Composite Plate Under Non-uniform In-plane Loading. Recent Advances in Computational and Experimental Mechanics, Vol—I: Select Proceedings of ICRACEM 2020, Springer Singapore, 381-396.
V Singh, R Kumar, SN Patel (2021). Parametric Instability Analysis of Functionally Graded CNT-Reinforced Composite (FG-CNTRC) Plate Subjected to Different Types of Non-uniform In-Plane Loading. Emerging Trends of Advanced Composite Materials in Structural Applications, Springer, Singapore, 291-312.
V Keshav, SN Patel, R Kumar (2021). Buckling of Laminated Composite Plate with Imperfections Subjected to In-Plane Pulse Loads. Emerging Trends of Advanced Composite Materials in Structural Applications, Springer, Singapore, 273-290.
V Keshav, SN Patel, R Kumar (2020). Nonlinear Dynamic Buckling and Failure Study of Laminated Composite Plates Subjected to Axial Impulse Loads. Advances in Fluid Mechanics and Solid Mechanics, 281-295.
Conferences:
Varun Jain, R Kumar, Sukanta Chakraborty. Non-linear dynamic response and dynamic buckling of isotropic imperfect thin plates. International Conference on Nonlinear Solid Mechanics (ICoNSoM 2019) 16-19 June 2019, Roma, Italy
SN Patel, R Kumar, Free vibration study of laminated carbon nanotube reinforced composite shell panels. 5th International Conference on Nanotechnology for Better Living (ICNBL-2019), April 7-11, 2019, NIT Srinagar, Srinagar, Jointly organized by NIT Srinagar and IIT Kharagpur
V Keshav, SN Patel, R Kumar. Non-linear dynamic buckling and failure study of laminated composite plates subjected to axial impulse loads. 63rd Congress of The Indian Society of Theoretical and Applied Mechanics (An International Conference) December 20-23, 2018, Dayananda Sagar University, Bangalore in association with IIT Kharagpur, Kharagpur.
V Singh, R Kumar, SN Patel. Postbuckling analysis of MWCNT-reinforced composite plates under different types of in-plane mechanical loads. Structural Engineering Convention (SEC-2018), 19-21, December, 2018, Department of Civil Engineering Jadavpur University, Kolkata.
V Keshav, SN Patel, R Kumar. Dynamic buckling and failure study of laminated composite curved panels subjected to in-plane impulsive loads. Structural Engineering Convention (SEC-2018), 19-21, December, 2018, Department of Civil Engineering Jadavpur University, Kolkata.
SN Patel, V Keshav, R Kumar. Nonlinear dynamic buckling study of cross-ply laminated composite plate. International Conference on Mechanical Engineering and Allied Science (ICMEAS-2018), 14-15, September 2018, School of Mechanical Engineering, Shri Mata Vaishno Devi University, Katra, J&K, 182320.
R Kumar, M Chaudhary, SN Patel. Dynamic buckling behaviour of composite plate subjected to in-plane pulse loading. 21st International Conference on Composite Structures (ICCS21), 4-7, September 2018, School of Engineering and Architecture, University of Bologna, Italy.
LS Ramachandra, R Kumar. Nonlinear static stability analysis of composite plates and cylindrical shell panels under localized in-plane loads. Proceedings of the International Conference on Advances in Mechanics and Materials (ICRAMM 2016).
R Kumar, LS Ramachandra, B Banerjee. Post-buckled vibration characteristics of composite skew plates under concentrated in-plane loadings. International Conference on Vibration Problem (ICOVP-2015).
P Kurinjivelan, R Kumar. A Samanta. Resultant stress method for the fatigue life evaluation of welded joints subjected to combined normal and shear stresses. Pradas, Brazil, 2010.