Books (*asterisk denotes books with solution manuals)

published books

  1. J. T. Oden and J.N. Reddy, Variational Methods in Theoretical Mechanics, Springer-Verlag, NY, 1976; Second Edition, 1982.
  2. J. T. Oden and J.N. Reddy, A Mathematical Theory of Finite Elements, John Wiley & Sons, New York, 1976.
  3. J. N. Reddy and M. L. Rasmussen, Advanced Engineering Analysis, John Wiley, New York, 1982; reprinted by Krieger, Melbourne, FL, 1990.
  4. *J. N. Reddy, An Introduction to the Finite Element Method, McGraw-Hill, New York, 1984.
  5. *J. N. Reddy, Energy and Variational Methods in Applied Mechanics, John Wiley, NY, 1984.
  6. J. N. Reddy, Applied Functional Analysis and Variational Methods in Engineering, McGraw-Hill, NY, 1986; reprinted by Krieger, Melbourne, FL, 1991.
  7. O. O. Ochoa and J.N. Reddy, Finite Element Analysis of Composite Laminates, Kluwer Academic Publishers, The Netherlands, 1992.
  8. J. N. Reddy and A. Miravete, Practical Analysis of Laminated Composite Structures, CRC Press, FL, 1995.
  9. *J. N. Reddy, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL, 1996.
  10. J. N. Reddy and D. K. Gartling, The Finite Element Method in Heat Transfer and Fluid Dynamics, CRC Press, FL, 1997.
  11. *J. N. Reddy, Theory and Analysis of Elastic Plates, Taylor & Francis, Philadelphia, PA, 1999.
  12. C. M. Wang, J.N. Reddy, and K.H. Lee, Shear Deformation Theories of Beams and Plates. Relationships with Classical Solution, Elsevier, U.K., 2000.
  13. *J. N. Reddy, An Introduction to Nonlinear Finite Element Analysis, Oxford University Press, Oxford, U.K., 2004.
  14. C. M. Wang, C. Y. Wang, and J.N. Reddy, Exact Solutions for Buckling of Structural Members, CRC Press, Boca Raton, FL, 2005.
  15. *J. N. Reddy, An Introduction to Continuum Mechanics with Applications, Cambridge University Press, New York, 2008
  16. *J. N. Reddy, Principles of Continuum Mechanics. A Study of Conservation Principles with Applications, Cambridge University Press, New York, 2010.
    • Principles of Continuum Mechanics. A Study of Conservation Principles with Applications, Second Edition, Cambridge University Press, New York, 2014 (in preparation).
  17. *R. T. Fenner and J.N. Reddy, Mechanics of Solids and Structures, 2nd ed., CRC Press, Boca Raton, Florida, 2012.
  18. A. Roy and J.N. Reddy, Computational Modelling of Polymer Composites, A Study of Creep and Environmental Effects, CRC Press, Boca Raton, Florida, 2013.
  19. 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).
  20. K. S. Surana and J.N. Reddy, The Finite Element Method for Boundary Value Problems, Mathematics and Computations, CRC Press, Boca Raton, Florida, to appear (2017).

Selected Journal Papers

Recent Publications

  1. Miguel E. Gutierrez Rivera, J.N. Reddy, and Marco Amabili, “A new twelve-parameter spectral/hp shell finite element for large deformation analysis of composite shells,” Composite Structures, Vol. 151, pp. 183-196, Sept 2016.
  2. S. Sarkar and J.N. Reddy, “Exploring the source of non-locality in the Euler-Bernoulli and Timoshenko beam models,” International Journal of Engineering Science, Vol. 104, pp. 110-115, July 2016.
  3. Anssi T. Karttunen, Jani Romanoff, and  J.N. Reddy, “Exact microstructure-dependent Timoshenko beam element,” International Journal of Mechanical Sciences, Vol. 111, pp. 36-42, June 2016.
  4. Shubhankar Roy Chowdhury, Pranesh Roy, Debasish Roy, and J N Reddy, “A peridynamic theory for linear elastic shells,” International Journal of Slids and Structures, Vol. 84, pp. 110-132, May 2016.
  5. M.E. Torki and J.N. Reddy, “Buckling of functionally-graded beams with partially delaminated piezoelectric layers,” International Journal of Structural Stability and Dynamics, Vol. 16, No. 3, 1450104 (25 pages), Apr 2016.
  6. Cuiyun Liu, Bo Liu, Yufeng Xing, J. N. Reddy, A. M. A. Neves, and A. J. M. Ferreira,  “In-plane vibration analysis of plates in curvilinear domains by a differential quadrature hierarchical finite element method,” Meccanica, DOI 10.1007/s11012-016-0426-y.
  7. P. Raghu, K. Preethi, A. Rajagopal, and J.N. Reddy, “Nonlocal third-order shear deformation theory for analysis of laminated plates considering surface stress effects,” Composites and Structures, Vol. 139, pp. 13-29, Apr 2016.
  8. C.Y. Kiyono, E.C.N. Silva, and J.N. Reddy, “Optimal design of laminated piezocomposite energy harvesting devices considering stress constraints,” International Journal for Numerical Methods in Engineering, Vol. 105, pp. 883-914, Mar 2016.
  9. L.W. Zhang, K.M. Liew, J.N. Reddy, “Postbuckling behavior of bi-axially compressed arbitrarily straight-sided quadrilateral functionally graded material plates,” Computer Methods in Applied Mechanics and Engineering, Vol. 300, pp. 593-610, Mar 2016.
  10. Archana Arbind and J.N. Reddy, “Transient analysis of Cosserat rod with inextensibility and unshearability constraints using the least-squares finite element model,” International Journal of Non-Linear Mechanics, Vol. 79, pp. 38-47, Mar 2016.
  11. J.N. Reddy and K.S. Surana, “k-version of FEM and unconditionally stable computational processes,” IACM Expressions (Bulletin for The International Association for Computational Mechanics), No. 38, pp. 6-13, 2016.
  12. J.N. Reddy, Jani Romanoff, and Jose Antonio Loya, “Nonlinear finite element analysis of functionally graded circular plates with modified couple stress theory,” European Journal of Mechanics – A/Solids, Vol. 56, pp. 92–104, Mar-Apr 2016.
  13. Md. Ishaquddin, P. Raveendranath, and J.N. Reddy, “Efficient coupled polynomial interpolation scheme for out-of-plane free vibration analysis of curved beams,” Finite Elements in Analysis and Design, Vol. 110, pp. 58-66, Mar 2016.
  14. Jose Fernandez-Saez, R. Zaera, J.A. Loya, and J.N. Reddy, “Bending of Euler-Bernoulli Beams using Eringen’s Integral Formulation: A Paradox Resolved,” International Journal of Engineering Science, Vol. 99, pp. 107-116, Feb 2016.
  15. B. Umesh; A. Rajagopal, and J.N. Reddy, “Adaptive isogeometric analysis based on a combined r-h strategy,” International Journal for Computational Methods in Engineering Science & Mechanics, Vol. 17, No. 2, pp. 73-92, 2016.
  16. L.W. Zhang, K.M. Liew, and J.N. Reddy, ” Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression,” Computer Methods in Applied Mechanics and Engineering, Vol. 298, pp. 1-28, Jan 2016.
  17. K. S. Surana, M. Powell, And J. N. Reddy, “Constitutive Theories For Internal Polar Thermoelastic Solid Continua,” Journal of Pure and Applied Mathematics: Advances and Applications, Vol. 14, No. 2, pp. 89–150, 2015.
  18. K. S. Surana, J. Knight, and  J. N. Reddy, “Nonlinear Waves in Solid Continua with Finite Deformation,” American Journal of Computational Mathematics,  Vol. 5, pp. 345-386, 2015.
  19. Kiran C. Sahu, Jukka Tuhkuri, and J.N. Reddy, “Active Structural Acoustic Control of a Softcore Sandwich Panel Using Multiple Piezoelectric Actuators and Reddy’s Higher Order Theory,” Journal of Low Frequency Noise Vibration and Active Control, Vol. 34, No. 4, pp. 385-411, Dec 2015.
  20. Kiran C. Sahu, Jukka Tuhkuri, and J.N. Reddy, “Active attenuation of sound transmission through a soft-core sandwich panel into an acoustic enclosure using volume velocity cancellation”, Proceedings of the Institution of Mechanical Engineers Part C-Journal Of Mechanical Engineering Science, Vol. 229, No. 17, pp. 3096—3112, 2015.
  21. Sami El-Borgi, Ralston Fernandes, and J.N. Reddy, “Non-local free and forced vibrations of graded nanobeams resting on a non-linear elastic foundation,” International Journal of Non-Linear Mechanics, Vol. 77, pp. 348-363, 2015.
  22. Kasirajan Preethi; Amritham Rajagopal, and J.N. Reddy, “Surface and nonlocal effects for nonlinear analysis of Timoshenko beams,” International Journal of Non-Linear Mechanics, Vol. 76, pp. 100—111, 2015.
  23. Md. M. Rahaman, S.P. Deepu, D. Roy, and J.N. Reddy, “A Micropolar Cohesive Damage Model for Delamination of Composites,” Composite Structures, Vol. 131, pp. 425—432, 2015.
  24. K.S. Surana, M. Powell, and J.N. Reddy, “Ordered Rate Constitutive Theories for Internal Polar Thermofluids,” International Journal of Mathematical Sciences and Engineering Applications, Vol. 9, No. III, pp. 51-116, 2015.
  25. K.S. Surana, J.N. Reddy, and D. Nunez, “Ordered rate constitutive theories for thermoviscoelastic solids with memory in Lagrangian description using Gibbs potential,” Continuum Mechanics and Thermodynamics, Vol. 27, No. 6, pp. 1019—1038, 2015.
  26. Mesut Şimşek, M. Aydın, H.H. Yurtçu, and  J.N. Reddy,  “Size-Dependent Vibration of a Microplate under the Action of a Moving Load Based on the Modified Couple Stress Theory,” Acta Mechanica, Vol. 226, pp. 3807—3822, 2015.
  27. J.N. Reddy and A.R. Srinivasa, “On the Force-Displacement Characteristics of Finite Elements for Plane Elasticity and Related Problems,” Finite Elements in Analysis and Design, Vol. 104, pp. 35-40, 2015.
  28. J. Kim and J.N. Reddy, “A general third-order theory of functionally graded plates with modified couple stress effect and the von Karman nonlinearity: theory and finite element analysis,” Acta Mechanica, Vol. 226 (9), pp. 2973-2998, 2015.
  29. K.S. Surana, M. Powell, and J. N Reddy, “Constitutive Theories for Internal Polar Thermoelastic Solid Continua,” Journal of Pure and Applied Mathematics: Advances and Applications, Vol. 14, No. 2, pp. 89-150, 2015.
  30. Helnaz Soltani and J.N. Reddy, “Modal analysis of elastic plates in contact with an inviscid fluid medium,” International Journal of Applied Mechanics, Vol. 7, No. 3, 1550041, 2015.
  31. Parisa Khodabakhshi and J.N. Reddy, “A Unified Integro-Differential Nonlocal Model,” International Journal of Engineering Science, Vol. 95, pp. 60-75, 2015.
  32. K.S. Surana, Aaron D. Joy, and  Luis A. Quiros, and J. N Reddy, “Mathematical Models and Numerical Solutions of Liquid-Solid and Solid-Liquid Phase Change,” Journal of Thermal Engineering, Vol. 1, No. 2, pp. 61-98, 2015.
  33. K.S. Surana, J.N. Reddy, and M. Powell, “A Polar Continuum Theory for Fluent Continua,” International J. of Engg. Research & Indu. Appls. (IJERIA), Vol. 8, No. II pp. 107-146, May, 2015.
  34. K.S. Surana, J.N. Reddy, D. Nunez, and M. Powell, “A Polar Continuum Theory for Solid Continua,” International J. of Engg. Research & Indu. Appls. (IJERIA), Vol. 8, No. II pp. 77-106, May, 2015.
  35. Feifei Cheng, Sun-Myung Kim, and J.N. Reddy, “Computational modeling of the plastic-damage behavior of porous MAX phase with aligned ellipsoid-like pores under uniaxial compression,” International Journal of Solids and Structures,  Vol. 63, pp. 121-138, 2015.
  36. S. M. Mousavi, J. Paavola, and J.N. Reddy, “Variational approach to dynamic analysis of third-order shear deformable plates within gradient elasticity,” Meccanica, Vol. 50, No. 6, pp. 1537-1550, 2015.
  37. C.W. Lim, G. Zhang, and J.N. Reddy, “A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation,” Journal of the Mechanics and Physics of Solids, Vol. 78, pp. 298-313, 2015.
  38. K.S. Surana, J.N. Reddy, and D. Nunez, “Ordered rate constitutive theories for thermoviscoelastic solids without memory in Lagrangian description using Gibbs potential,” Continuum Mechanics and Thermodynamics, Vol. 27, No. 3, pp. 409-431, 2015.
  39. Fehmi Najar, Sami El-Borgi, J.N. Reddy, and Kais Mrabet, “Nonlinear nonlocal analysis of electrostatic nanoactuators,” Composite Structures, Vol. 120, pp. 117-128, 2015.
  40. K.S. Surana,  T. Moody,  and  J.N. Reddy, “Rate constitutive theories of order zero in Lagrangian description for thermoelastic solids,” Mechanics of Advanced Materials and Structures, Vol. 22, pp. 440-450, 2015.
  41. K.S. Surana, T. Moody, and J.N. Reddy, “Ordered rate constitutive theories in Lagrangian description for thermoviscoelastic solids with memory,” Acta Mechanica, DOI 10.1007/s00707-014-1173-6, Vol. 226, pp. 157-178, 2015.
  42. F. Moleiro, C.M. Mota Soares, C.A. Mota Soares, and J.N. Reddy, “Layerwise mixed models for analysis of multilayered piezoelectric composite plates using least-squares formulation,” Composite Structures, Vol. 119, pp. 134-149, 2015.
  43. K.S. Surana, Aaron Joy, Luis A Quiros, and J.N Reddy, “Mathematical models and numerical solutions of liquid-solid and solid-liquid phase change,” Journal of Thermal Engineering, Vol. 1, No. 2, pp. 61-98, 2015.
  44. K.S. Surana, K.P.J. Reddy, A. D. Joy, and J.N. Reddy, “Riemann shock tube: evolution, propagation, reflection, and interactions of 1D normal shocks in air; numerical simulations and experiments,” International Journal of Computational Fluid Dynamics, Vol. 28 (6-10), pp. 251-271, 2014, DOI: 10.1080/10618562.2014.927056.
  45. Bo Liu, Yufeng Xing, and J. N Reddy, “Exact compact characteristic equations and new results for free vibrations of orthotropic rectangular Mindlin plates,” Composite Structures, Vol. 118, pp. 316-321, 2014.
  46. B. G. Sinir, B. B. Özhan, and J.N. Reddy, “Exact solutions for buckling configurations of Euler–Bernoulli beams,” Latin American Journal of Solid Mechanics, Vol. 11, pp. 2516-2536, 2014.
  47. K.S. Surana, B. Blackwell, M. Powell, and J.N. Reddy, “Mathematical models for fluid-solid interaction and their numerical solutions,” Journal of Fluids and Structures, Vol. 50, pp. 184-216, 2014.

Manuscripts Accepted for Publication

  1. Shubhankar Roy Chowdhury, Debasish Roy, J.N. Reddy, and Arun Srinivasa, “Fluctuation relation based continuum model for thermoviscoplasticity in metals,” Journal of the Mechanics and Physics of Solids, accepted for publication.
  2. Kari Santaoja and J.N. Reddy, ”Material model for creep-assisted microcracking applied to S2 sea ice,” Journal of Applied Mechanics, accepted for publication.
  3. Parisa Khodabakhshi and J.N. Reddy, “A Unified Beam Theory with Strain Gradient Effect  and the von Kármán Nonlinearity,” ZAMM, accepted for publication.
  4. M.A. Eltaher, S. El-Borgi, and J.N. Reddy, “Nonlinear analysis of size-dependent and material-dependent nonlocal CNTs,” Composite Structures, accepted for publication.
  5. Kemal Arslan, Recep Gunes, M. Kemal Apalaki, J.N. Reddy, “Experimental tests and numerical modeling of ballistic impact on honeycomb sandwich structures reinforced by functionally graded plates,” Journal of Sandwich Structures and Materials, accepted for publication.
  6. Noël Challamel, J. N. Reddy, and C. M. Wang, “Eringen’s Stress Gradient Model for Bending of Nonlocal Beams,” ASCE Journal of Engineering Mechanics, to appear (http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0001161
  7. Mahmoud Mousavi, J. N. Reddy, and Jani Romanoff, “Analysis of anisotropic gradient elastic shear deformable plates,” Acta Meccanica, accepted for publication.
  8. C.Y. Kiyono, S.L. Vatanabe, E.C.N. Silva, and J.N. Reddy, “New multi-p-norm formulation approach for stress-based topology optimization design,” Composite Structures, accepted for publication.
  9. Namhee Kim and J.N. Reddy, “A  spectral/hp least-squares finite element analysis of the Carreau-Yasuda fluids,” International Journal for Numerical Methods in Fluids, accepted for publication.
  10. L.W. Zhang, K.M. Liew, and J.N. Reddy, “Postbuckling analysis of bi-axially compressed laminated nanocomposite plates using the first-order shear deformation theory,” Composite Structures, accepted for publication.
  11. Wooram Kim and J.N. Reddy, “An improved time integration algorithm: A collocation time finite element approach,” International Journal of Structural Stability and Dynamics, accepted for publication.
  12. B. Umesh, A. Rajagopal, and J.N. Reddy, “Adaptive isogeometric analysis based on a combined rh strategy,” International Journal of Computational Methods in Engineering Science and Mechanics, accepted for publication.
  13. Miguel  E Gutierrez Rivera and J.N. Reddy, “Stress analysis of functionally graded shells using a 7-parameter shell element,” Mechanics Research Communications, accepted for publication.
  14. Kiran Sahu, Jukka Tuhkuri, and J.N. Reddy, “Active piezoelectric-structure acoustic control of a soft-core sandwich panel using volume velocity and a weighted sum of spatial gradient control metrics,” Journal of Vibration and Control, accepted for publication.
  15. Ginu U. Unnikrishnan, Vinu U. Unnikrishnan, and J. N. Reddy, “Contribution of material properties of cellular components on the viscoelastic, stress-relaxation response of a cell during AFM indentation,” International Journal of Computational Methods in Engineering Science and Mechanics, accepted for publication.
  16. Jani Romanoff, Jasmin Jelovica, Bruno Reinaldo Goncalves, J. N. Reddy, Heikki Remes, “Post-buckling Response of Plates with Periodic, Unidirectional, Microstructure,” Engineering Structures, accepted for publication.
  17. K. Surana, Michael J. Powell, J.N. Reddy, “A more complete thermodynamic framework for solid continua,” Journal of Thermal Engineering, accepted for publication.
  18. Jani Romanoff, J.N. Reddy, and Jasmin Jelovica, “Using non-local Timoshenko beam theories for prediction of micro- and macro-structural responses,” Computers and Structures, accepted for publication.