Books (*asterisk denotes books with solution manuals)</span >
- J. T. Oden and J.N. Reddy, Variational Methods in Theoretical Mechanics, Springer-Verlag, NY, 1976; Second Edition, 1982.
- J. T. Oden and J.N. Reddy, A Mathematical Theory of Finite Elements, John Wiley & Sons, New York, 1976.
- J. N. Reddy and M. L. Rasmussen, Advanced Engineering Analysis, John Wiley, New York, 1982; reprinted by Krieger, Melbourne, FL, 1990.
- *J. N. Reddy, An Introduction to the Finite Element Method, McGraw-Hill, New York, 1984.
- An Introduction to the Finite Element Method, Second Edition, McGraw-Hill, NY, 1993.
- An Introduction to the Finite Element Method, Third Edition, McGraw-Hill, NY, 2006.
- Introduction to the Finite Element Method, Fourth Edition, McGraw-Hill, NY, 2019.
- An Introduction to the Finite Element Method, Fourth Edition in Chinese, 2022.
- *J. N. Reddy, Energy and Variational Methods in Applied Mechanics, John Wiley, NY, 1984.
- J. N. Reddy, Applied Functional Analysis and Variational Methods in Engineering, McGraw-Hill, NY, 1986; reprinted by Krieger, Melbourne, FL, 1991.
- O. O. Ochoa and J.N. Reddy, Finite Element Analysis of Composite Laminates, Kluwer Academic Publishers, The Netherlands, 1992.
- J. N. Reddy and A. Miravete, Practical Analysis of Composite Laminates, CRC Press, FL, 1995.
- *J. N. Reddy, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL, 1996.
- J. N. Reddy and D. K. Gartling, The Finite Element Method in Heat Transfer and Fluid Dynamics, CRC Press, FL, 1997.
- *J. N. Reddy, Theory and Analysis of Elastic Plates, Taylor & Francis, Philadelphia, PA, 1999.
- C. M. Wang, J.N. Reddy, and K.H. Lee, Shear Deformable Beams and Plates. Relationships with Classical Solutions, Elsevier, U.K., 2000.
- *J. N. Reddy, An Introduction to Nonlinear Finite Element Analysis, Oxford University Press, Oxford, U.K., 2004.
- C. M. Wang, C. Y. Wang, and J.N. Reddy, Exact Solutions for Buckling of Structural Members, CRC Press, Boca Raton, FL, 2005.
- *J. N. Reddy, An Introduction to Continuum Mechanics with Applications, Cambridge University Press, New York, 2008
- *J. N. Reddy, Principles of Continuum Mechanics. A Study of Conservation Principles with Applications, Cambridge University Press, New York, 2010.
- Principles of Continuum Mechanics. Conservation and Balance Laws with Applications, Second Edition, Cambridge University Press, New York, 2017.
- *R. T. Fenner and J.N. Reddy, Mechanics of Solids and Structures, 2nd ed., CRC Press, Boca Raton, Florida, 2012.
- A. Roy and J.N. Reddy, Computational Modelling of Polymer Composites, A Study of Creep and Environmental Effects, CRC Press, Boca Raton, Florida, 2013.
- A. Rao, A. R. Srinivasa, and J.N. Reddy, Design of Shape Memory Alloy (SMA) Actuators, Springer Briefs in Applied Sciences, Springer-Verlag, Berlin, 2015.
- K. S. Surana and J.N. Reddy, The Finite Element Method for Boundary Value Problems, Mathematics and Computations, CRC Press, Boca Raton, Florida, 2017.
- K. S. Surana and J.N. Reddy, The Finite Element Method for Initial Value Problems, Mathematics and Computations, CRC Press, Boca Raton, Florida, 2018.
- J.N. Reddy, Theories and Analyses of Beams and Axisymmetric Circular Plates, CRC Press, Boca Raton, Florida, 2022.
- J.N. Reddy, N.K. Anand, and P. Roy, Finite Element and Finite Volume Methods for Heat Transfer and Fluid Dynamics, Cambridge University Press, New York, 2023.
- J.N. Reddy, Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods, CRC Press, Boca Raton, Florida, 2023.
- Kari Santaoja and J.N. Reddy, Continuum Thermodynamics and Material Modelling, Cambridge University Press, New York, 2023.
SELECTIVE JOURNAL PAPERS SINCE 2019
- J. N. Reddy, “A dual mesh finite domain method for the numerical solution of differential equations,” International Journal for Computational Methods in Engineering Science and Mechanics, Vol. 20, No. 3, pp. 212-228, 2019.
- Prakash Thamburaja, K. Sarah, A.R. Srinivasa, and J. N. Reddy, “Fracture of viscoelastic materials: FEM implementation of a non-local & rate form-based finite-deformation constitutive theory,” Computer Methods in Applied Mechanics and Engineering, Vol. 354, pp. 871-903, 2019.
- Juhyeong Lee, Charles Pittman, Jr., Thomas Lacy, Jr., and J. N. Reddy, “Numerical estimations of lightning-induced mechanical damage in carbon/epoxy composites using shock wave overpressure and equivalent air blast overpressure,” Composite Structures, Vol. 224, 111039, 2019.
- Anssi Karttunen, J. N. Reddy, and Jani Romanoff, “Two-scale micropolar plate model for web-core sandwich panels,” International Journal of Solids and Structures, Vol. 170, pp. 82-94, 2019.
- Parisa Khodabakhshi, J. N. Reddy, and A.R. Srinivasa, “A nonlocal fracture criterion and its effect on mesh dependency of GraFEA,” Acta Mechanica, Vol. 230, pp. 3593–3612, 2019.
- Shubhankar Roy Chowdhury and J. N. Reddy, “Geometrically exact micropolar Timoshenko beam and its application in modelling sandwich beams made of architected lattice core,” Composite Structures, Vol. 226, 111228, 2019.
- Namhee Kim and J. N. Reddy, “Least-squares finite element analysis of three-dimensional natural convection of generalized Newtonian fluids,” International Journal of Numerical Methods in Fluids, Vol. 266, pp. 143-159, 2020.
- J. N. Reddy, “Stephen P. Timoshenko Medal Acceptance Speech Presented at the ASME Applied Mechanics Division Banquet, IMECE’19, Salt Lake City, UT, Nov. 12, 2019.” Guest Editorial appeared in Journal of Applied Mechanics, Vol. 87, article 020301 (4 pages), February 2020.
- Miguel Gutierrez Rivera, J. N. Reddy, and Marco Amabili, “A continuum eight-parameter shell finite element for large deformation analysis,” Mechanics of Advanced Materials and Structures, Vol. 27, No. 7, pp. 551-560, 2020.
- Jia-Yu Ye, Lu-Wen Zhang, and J. N. Reddy, “Large strained fracture of nearly incompressible hyperelastic materials: Enhanced assumed strain methods and energy decomposition,” Journal of the Mechanics and Physics of Solids, Vol. 139, 103939, 2020.
- Marco Amabili and J. N. Reddy, “The nonlinear, third-order thickness and shear deformation theory for statics and dynamics of laminated composite shells,” Composite Structures, Vol. 244, 112265, 2020.
- Wooram Kim and J. N. Reddy, “Novel explicit time integration schemes for efficient transient analyses of structural problems,” International Journal of Mechanical Sciences, Vol. 172, 105429, April 2020.
- K. Sarah, P. Thamburaja, A. Srinivasa, and J. N. Reddy, “Numerical simulations of damage and fracture in viscoelastic solids using a nonlocal fracture criterion,” Mechanics of Advanced Materials and Structures, Vol. 27, No. 13, pp. 1085-1097, 2020.
- F. Moleiro, J.F.A. Madeira, E. Carrera, and J. N. Reddy, “Design optimization of functionally graded plates under thermo-mechanical loadings to minimize stress, deformation and mass,” Composite Structures, Vol. 245, article 112360, 2020.
- J. N. Reddy and Praneeth Nampally, “A dual mesh finite domain method for the analysis of functionally graded beams,” Composite Structures, Vol. 251, article 112648, 2020.
- Anssi T. Karttunen and J. N. Reddy, “Hierarchy of beam models for lattice core sandwich structures,” International Journal of Solids and Structures, Vol. 204, pp. 172-186, 2020.
- F. Moleiro, C.M. Mota Soares, E. Carrera, and J. N. Reddy, “Evaluation of exact electro-elastic static and free vibration solutions of multilayered plates for benchmarking: piezoelectric composite laminates and soft core sandwich plates,” Composites Part C: Open Access, Vol. 2, article 100038, 2020.
- J. N. Reddy, Praneeth Nampally, and A.R. Srinivasa, “Nonlinear analysis of functionally graded beams using the dual mesh finite domain method and the finite element method,” International Journal of Non-Linear Mechanics, Vol. 127, 103575, Dec 2020.
- Praneeth Nampally and J. N. Reddy, “Geometrically nonlinear Euler-Bernoulli and Timoshenko micropolar beam theories,” Acta Mechanica, Vol. 231, pp. 4217–4242, 2020.
- M. Di Paola, J. N. Reddy, and E. Ruocco, “On the application of fractional calculus for the formulation of viscoelastic Reddy beam,” Meccanica, Vol. 55, pp. 1365–1378, May 2020.
- J. N. Reddy and A.R. Srinivasa, “Misattributions and misnomers in mechanics: why they matter in the search for insight and precision of thought,” Vietnam Journal of Mechanics, Vol. 42, No. 3, pp. 283-291, 2020.
- Gurudas Kar, Debasish Roy, and J. N. Reddy, “Thermoviscoplasticity in BCC metals: a two-temperature model with grain boundary evolution,” ASME Journal of Applied Mechanics, Vol. 87, No. 11, 111004 (10 pages), 2020.
- J. N. Reddy, Namhee Kim, and Matthew Martinez, “A dual mesh control domain method for the solution of nonlinear Poisson’s equation and the Navier-Stokes equations for incompressible fluids,” Physics of Fluids, Vol. 32, 093608, published online, Sept. 2020.
- Jani Romanoff, Jasmin Jelovica, J. N. Reddy, and Heikki Remes, “Post-buckling of webcore sandwich plates based on classical continuum mechanics: success and needs for nonclassical formulations,” Meccanica, appeared online, June 2020.
- Praneeth Nampally and J. N. Reddy, “Bending analysis of functionally graded axisymmetric circular plates using the dual mesh finite domain method,” Latin American Journal of Solid Mechanics, Vol. 17, No. 7, 2020.
- N. S. Al-Maskari, D. A. McAdams, and J. N. Reddy, “Modeling of a biological material nacre: Multiobjective optimization model,” Mechanics of Advanced Materials and Structures, Vo. 28, No. 4, pp. 430-439, 2021.
- J. N. Reddy, Praneeth Nampally, and Nam Phan, “Dual mesh control domain analysis of functionally graded circular plates accounting for moderate rotations,” Composite Structures, Vol. 257, article 113153, 2021.
- A. Arbind, J. N. Reddy, and A.R. Srinivasa, “A general higher-order shell theory for compressible isotropic hyperelastic materials using orthonormal moving frame,” International Journal for Numerical Methods in Engineering, Vol. 122, No. 1, pp. 235-269, 2021.
- A.R. Srinivasa, Ho Yong Shin, Prakash Thamburaja, J. N. Reddy, “Multiple cracking model in a 3D GraFEA framework,” Continuum Mechanics and Thermodynamics, Vol. 33, pp. 1409–1428, March 2021.
- S. Karthik, A. Rajagopal, and J. N. Reddy, “Nonlocal phase field approach for modeling damage in brittle materials,” Mechanics of Materials, Vol. 157, Article Number 103797, June 2021.
- P. Thamburaja, K. Sarah, A. Srinivasa, and J. N. Reddy, “Fracture modeling of plain concrete using nonlocal fracture mechanics and a graph-based computational framework,” Proceedings of the Royal Society A, Vol. 477, No. 2252, 2021.
- Marco Amabili and J. N. Reddy, “Nonlinear mechanics of sandwich plates: layerwise third-order thickness and shear deformation theory,” Composite Structures, Vol. 278, Article Number 114693, 2021.
- Praneeth Nampally, Eugenio Ruocco, and J. N. Reddy, “Bending analysis of functionally graded rectangular plates using the dual mesh control domain method,” Computational Methods in Engineering Science and Mechanics, Vol. 22, No. 5, pp. 425-437, 2021.
- Mohsen Nowruzpour, J. N. Reddy, and Majid Akbarzadeh Khorshidi, “Tridynamic model of the beam with transverse shear deformation,” Computer Methods in Applied Mechanics and Engineering, Vol. 388, Article Number 114257, 2022.
- Zhujiang Wang, Arun Srinivasa, J. N. Reddy, and Adam Dubrowski, “Topology optimization of lightweight structures with application to bone scaffolds and 3D printed shoes for diabetics,” Journal of Applied Mechanics, Vol. 89, No. 4, 10 pages, April 2022.
- A. R. Srinivasa, J. N. Reddy, and Nam Phan, “A Discrete Nonlocal Damage Mechanics Approach,” Mechanics of Advanced Materials and Structures, Vol. 29, No. 13, pp. 1813-1820, 2022.
- H. Y. Shin, P. Thamburaja, A. Srinivasa, and J. N. Reddy, “On simulating impact in high strength concrete using GraFEA,” Extreme Mechanics Letters, Vol. 52, article 101618, 2022.
- Matthew Fisseler, A.R. Srinivasa, and J. N. Reddy, “A combined principal component analysis and energy minimization-based approach to model deformation of web core beams,” Acta Mechanica, Vol. 233, pp. 921–942, 2022.
- Rogers JA, Bass N, Mead P, Mote A, Lukasik G, Intardonato M, Harrison H, Leaverton JD, Kota KR, Wilkerson J, Reddy JN, Kulatilaka W, Lacy Jr TE, “The Texas A&M University Hypervelocity Impact Laboratory: A Modern Aeroballistic Range Facility,” Review of Scientific Instruments, Vol. 93(8), article 085106, 2022.
- Kemal Arslan, Recep Güneş, M. Kemal Apalak, and J. N. Reddy, “Evaluation of geometrically nonlinear and elastoplastic behavior of functionally graded plates under mechanical loading-unloading,” Mechanics of Advanced Materials and Structures, Vol. 29, No. 11, pp. 1587-1600, 2022.
- Bensingh Dhas, Jamun Kumar N., Debasish Roy, and J. N. Reddy, “A mixed variational principle in nonlinear elasticity using Cartan’s moving frame and implementation with finite element exterior calculus,” Computer Methods in Applied Mechanics and Engineering, Vol. 393, article 114756, 2022.
- Z. Wang, A.R. Srinivasa, J. N. Reddy, and Adam Dubrowski, “PIMesh: An automatic point cloud and unstructured mesh generation algorithm for meshless methods and finite element analysis,” International Journal for Numerical Methods in Biomedical Engineering, Vol. 38, No. 8, e3615, August 2022.
- H.Y. Shin, C. Lawrence, K.R. Kota, P. Thamburaja, A. Srinivasa, T.E. Lacy Jr., and J. N. Reddy, “Experimental, theoretical and numerical studies on plain concrete fracture in the low-strain rate regime-a state-of-the-art review,” Mechanics of Advanced Materials and Structures, Vol. 29, No. 28, 7115-7159, 2022.
- Jamun Kumar N, Bensingh Dhas, Arun R Srinivasa, J N Reddy, and Debasish Roy, “A novel four-field mixed FE approximation for Kirchhoff rods using Cartan’s moving frames,” Computer Methods in Applied Mechanics and Engineering, Vol. 402, article 115094, 2022.
- H. Y. Shin, Prakash Thamburaja, Arun Srinivasa, and J. N. Reddy, “Modeling impact fracture in a quasi-brittle solid using a three-dimensional non-local graph-based finite element analysis: theory, finite element simulations and experimental verification,” Journal of the Mechanics and Physics of Solids, 170, p.105097, 2023.
- Reza Alebrahim, Prakash Thamburaja, Arun Srinivasa, and J. N. Reddy, “A robust Moore-Penrose pseudoinverse-based static finite-element solver for simulating non-local fracture in solids,” Computer Methods in Applied Mechanics and Engineering, Vol. 403, article 115727, 2023.
- Mukul Saxena, Saikat Sarkar, and J. N. Reddy, “Modelling architected beam using a non-local derivative-free shear deformable beam theory,” Acta Mechanica, Vol. 234, pp. 3979-4000, 2023.
- Z. Jiao, T. Heblekar, G. Wang, R. Xu, W. Chen, and J. N. Reddy, “Analysis of Plane Elasticity Problems using the Dual Mesh Control Domain Method,” Computer Methods in Applied Mechanics and Engineering, Vol. 416, article 116342, 2023.
- Dominic Jarecki, Bensingh Dhas, Arun Srinivasa, and J. N. Reddy, “A small-deformation rate-independent continuous-flow model for elasto-plastic frames allowing rapid fatigue predictions in metallic structures,” International Journal of Structural Stability and Dynamics (special issue on Structural Engineering dedicated to the 70th Birthday of Professor Y.B. Yang) Vol. 23, No. 16n18, 2340039, 2023.
- D. Pranavi, A. Rajagopal, and J. N. Reddy, “Phase field modeling of anisotropic fracture,” Continuum Mechanics and Thermodynamics, Vol. 36, pp. 1267—1282, 2024.
- Z. Jiao, G. Wang, R. Xu, W. Chen, and J. N. Reddy, “Free vibration and buckling analysis of functionally graded beams using the DMCDM,” Composite Structures, Vol. 332, 15 March 2024, 117905.
- D. Pranavi, A. Rajagopal, and J. N. Reddy, “A note on the applicability of Eringen’s nonlocal model to functionally graded materials,” Mechanics of Advanced Materials and Structures, Vol. 31, No. 10, pp. 2091-2093, 2024 (DOI: 10.1080/15376494.2022.2150340).
- C. Lawrence, P. Thamburaja, A. Srinivasa, T.E. Lacy Jr., and J. N. Reddy, “Determination of microcrack free surface area creation and failure in quasi-brittle solids using 2D GraFEA simulations,” Mechanics of Materials, Vol. 191, April 2024, 104946.
- Tanmaye Heblekar, J. N. Reddy, and Arun Srinivasa, “Analysis of nonlinear problems using the dual mesh control domain method with arbitrary meshes,” Computer Methods in Applied Mechanics and Engineering, Vol. 427, 1 July 2024, 117044.
- Jamun Kumar N., J. N. Reddy, Arun R. Srinivasa, and Debasish Roy, “A new mixed variational approach for Kirchhoff shells and discretization with finite element exterior calculus,” Computer Methods in Applied Mechanics and Engineering, Vol. 432, Part A, 1 December 2024, 117351.
- Z. Jiang, Tanmaye Heblekar, Guannan Wang, Rongqiang Xu, and J. N. Reddy, “Static, free vibration and buckling analysis of functionally graded plates using the dual mesh control domain method,” Computers and Structures, Vol. 305, Dec 2024 DOI10.1016/j.compstruc.2024.107575.
- Mehmet Alp Dogmaz, Ibrahim Şafak, Sibel Gunes, and J. N. Reddy, “An investigation of the thermal performance of functionally graded annular fins on a horizontal cylinder under natural convection,” Experimental Heat Transfer, appeared online, Sep 2024, //doi.org/10.1080/08916152.2024.2396337.
- Areias, P., Srinivasa, A. R., Moleiro, F., and Reddy, J. N., “Finite strain analysis with the dual mesh control domain method,” International Journal for Numerical Methods in Engineering, Vol. 126, No. 1, 2025 (DOI10.1002/nme.7654).
- Nöel Challamel, Sami El Borgi, Mohamed Trabelssi, and J. N. Reddy, “Bending of micromorphic Timoshenko columns,” European Journal of Mechanics – A/Solids, Vol. 111, May–June 2025, 105537.
- Tanmaye Y. Heblekar and J. N. Reddy, “An improved dual mesh control domain formulation for the unsteady flow of viscous incompressible fluids,” Physics of Fluids, Vol. 37, article 033119, 2025.
- Sachin Velayudhan, Arun R. Srinivasa, Prakash Thamburaja, and J. N. Reddy, “Modeling of fracture in plates using a Graph-Based Finite Element Analysis (GraFEA), Journal of the Mechanics and Physics of Solids, vol. 203, article 106196, 2025.
- Chen Liang, C. W. Lim, and J. N. Reddy, “A deformation-based unified theory for composite plates,” Journal of the Mechanics and Physics of Solids, vol. 203, article 106230, 2025.
- Suhas A. Kowshik, Andrew Fisseler, Arun Srinivasa, and J. N. Reddy, “Physics Informed Gaussian Process Models for Real-time Simulation of Tire Terrain Interactions for off-road conditions,” Journal of Terramechanics, accepted for publication.