**Books** (*asterisk denotes books with solution manuals)

- 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.

- *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.*The Finite Element Method in Heat Transfer and Fluid Dynamics*, Second Edition, CRC Press, FL, 2001.*The Finite Element Method in Heat Transfer and Fluid Dynamics*, Third Edition, CRC Press, FL, 2010.

- *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*, 2^{nd}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.

**SELECTED RECENT JOURNAL PAPERS since 2016**

### papers in bold have at least 100 citations

**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.- 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. - 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. - 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. - 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. - Shubhankar Roy Chowdhury, Pranesh Roy, Debasish Roy, and J N Reddy, “A peridynamic theory for linear elastic shells,”
*International Journal of Solids and Structures*, Vol. 84, pp.110-132, May 2016. - Anssi T. Karttunen, Jani Romanoff, and J.N. Reddy, “Exact microstructure-dependent Timoshenko beam element,”
*International Journal of Mechanical Sciences*, Vol. 111, pp. 35-42, Jun 2016. - 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, Jul 2016. - 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, Sep 2016. - Kari Santaoja and J.N. Reddy, ”Material model for creep-assisted microcracking applied to S2 sea ice,”
*Journal of Applied Mechanics*, Vol. 83, No. 11, Nov. 2016. - 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*, Vol. 96, 353-368, Nov 2016. - 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*, Vol. 156, pp. 410-420, Nov 2016. - 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*, Vol. 156, pp.10-19, Nov 2016. - 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*, Vol. 82 No. 9, pp. 541-566, Nov 2016. - Parisa Khodabakhshi, J.N. Reddy, and Arun Srinivasa, “GraFEA: A graph based finite element approach for study of damage and fracture in brittle materials,”
*Meccanica (50th Anniversary Volume)*, Vol. 51, No. 12, 3129-3147, Dec 2016. - Miguel E Gutierrez Rivera and J.N. Reddy, “Stress analysis of functionally graded shells using a 7-parameter shell element,”
*Mechanics Research Communications*, Vol. 78, Part B, pp. 60-70, Dec 2016. - N. S. Al-Maskari, D. A. McAdams, and J. N. Reddy, “Modeling of a biological material nacre: waviness stiffness model,”
*Journal of Material Science and Engineering: C*, Vol. 70, 772–776, Jan 2017. - Saikat Sarkar, Mohsen Nowruzpour, J.N. Reddy, and Arun Srinivasa, “A discrete lagrangian based direct approach to macroscopic modelling,”
*Journal of Mechanics and Physics of Solids*, Vol. 98, pp. 172-180, Jan 2017. - Anssi T. Karttunen, J.N. Reddy, and Jani Romanoff, “Closed-form solution for circular microstructure-dependent Mindlin plates,”
*Acta Mechanica*, Vol. 228, No. 1, pp. 323-331 Jan 2017. - Parisa Khodabakhshi and J.N. Reddy, “A unified beam theory with strain gradient effect and the von kármán nonlinearity,”
*ZAMM, Z. Angew. Math. Mech.*, Vol. 97, No. 1, pp. 70-91, Jan 2017. - Jinseok Kim and J.N. Reddy, “Modeling of functionally graded smart plates with gradient elasticity effects,”
*Mechanics of Advanced Materials and Structures*, Vol. 24, No. 5, pp. 437-447, 2017. - Shubhankar Roy Chowdhury, Gurudas Kar, Debasish Roy, and J.N. Reddy, “Twotemperature thermodynamics for metal viscoplasticity: continuum modelling and numerical experiments,”
*Journal of Applied Mechanics*, Vol. 84, No. 1, 011002, Jan. 2017. - Anssi T. Karttunen, Raimo von Hertzen, J.N. Reddy, and Jani Romanoff, “Bridging plate theories and elasticity solutions,”
*International Journal of Solids and Structures*, Vol. 106, pp. 251-263, Feb 2017. - Shubhankar Roy Chowdhury, Debasish Roy, and J.N. Reddy, “Relating entropy flux with heat flux in two-temperature thermodynamic model for metal thermoviscoplasticity,”
*Journal of Applied Mechanics*, Vol. 84, No. 2, article no. 021007, Feb. 2017. - K.S. Surana, A.D. Joy, and J.N. Reddy, “Non-classical continuum theory for solids incorporating internal rotations and rotations of Cosserat theories,”
*Continuum Mechanics and Thermodynamics*, Vol. 29, No. 2, pp. 665-698, 2017. - Bruno R. Goncalves, Anssi T. Karttunen, Jani Romanoff, and J.N. Reddy, “Buckling and free vibration of shear-flexible sandwich beams using a couple-stress-based finite element,”
*Composite Structures*, Vol. 165, pp. 233-241, Apr 2017. - Arun Srinivasa and J.N. Reddy, “An overview of theories of continuum mechanics with nonlocal elastic response and a general framework for conservative and dissipative systems,”
*Applied Mechanics Reviews*, Vol. 69, 10.1115/1.4036723, May 2017. - Wooram Kim and J.N. Reddy, “A New Family of Higher-Order Time Integration Algorithms for the Analysis of Structural Dynamics,”
*Journal of Applied Mechanics*, Vol. 84, 071008-1 to 071008-17, July 2017. - Archana Arbind, J.N. Reddy, and A.R. Srinivasa, “Nonlinear analysis of beams with rotation gradient dependent potential energy for constrained micro-rotation,”
*European Journal of Mechanics A-Solids*, Vol. 65, pp. 178-194, Sept. 2017. - M. M. Rahaman, B. Dhas, D. Roy, and J.N. Reddy, “A dynamic flow rule for viscoplasticity in polycrystalline solids under high strain rates,”
*International Journal of Non-Linear Mechanics*, Vol. 95, pp. 10-18, 2017. - K.S. Surana, A.D. Joy, and J.N. Reddy, “Non-classical continuum theory for fluids incorporating internal and Cosserat rotation rates,”
*Continuum Mechanics and Thermodynamics*, Vol. 29, No. 6, pp. 1249-1289, 2017. - Pranesh Roy, Anil Pathrikar, S. P. Deepu, D. Roy, and J.N. Reddy, “Phase field based peridynamics damage model for delamination of composite structures,”
*Composite Structures*, Vol. 180, pp. 972-993, 2017. - Kemal Arslan, Recep Gunes, M. Kemal Apalak, J.N. Reddy, “Experimental tests and numerical modeling of ballistic impact on honeycomb sandwich structures reinforced by functionally graded plates,”
*Journal of Composite Materials*, Vol. 51, No. 29, pp. 4009-4028, March 2017. - M. M. Rahaman, P. Roy, D. Roy, and J.N. Reddy, “A peridynamic model for plasticity: Microinertia based flow rule, entropy equivalence and localization residuals,”
*Computer Methods in Applied Mechanics and Engineering*, Vol. 327, pp. 369-391, 2017. - F. Moleiro, A.L. Araújo, and J.N. Reddy, “Benchmark exact free vibration solutions for multilayered piezoelectric composite plates,”
*Composite Structures*, Vol. 182, pp. 598-605, 2017. - Recep Gunes, Kemal Arslan, M. Kemal Apalaki, J.N. Reddy, “Ballistic performance of honeycomb sandwich structures reinforced by functionally graded face plates,”
*Journal of Sandwich Structures and Materials*, pp. 1-19, Jan 2017. - Miguel E Gutierrez Rivera and J.N. Reddy, “Nonlinear transient and thermal analysis of functionally graded shells using a seven-parameter shell finite element,”
*Journal of Modeling in Mechanics and Materials*, Vo. 1, No. 2, Sep. 2017. - Archana Arbind and J.N. Reddy, “A general higher order one-dimensional theory for analysis of solid body in cylindrical co-ordinate system and it’s nonlinear finite element model for large deformation,”
*Computer Methods in Applied Mechanics and Engineering*, Vol. 328, pp.99-121, 2018. - B. Dhas, M.M. Rahaman, K. Akella, D. Roy, J.N. Reddy, “A phase-field damage model for orthotropic materials and delamination in composites,”
*Journal of Applied Mechanics*, Vol. 85, No. 1, pp. 4038506-1 to 4038506-11, 2018. - Md. T. Islam, Anuj Chaudhry, Ginu Unnikrishnan, J.N. Reddy, and Raffaella Righetti, “An analytical poroelastic model for ultrasound elastography imaging of tumors more permeable than surrounding tissues,”
*Physics in Medicine and Biology*, Vol. 63, No. 2, article 20170674, Jan 2018. - Md. M. Rahaman, B. Dhas, D. Roy, and J.N. Reddy, “Variational formulation for dissipative continua and incremental J-integral,”
*Proc. Royal Society A*, Vol. 474, 20170674, 2018. - Archana Arbind, J.N. Reddy, and A.R. Srinivasa, “Nonlinear analysis of plates with rotation gradient dependent potential energy for constrained micro-rotation,”
*ASCE Journal of Engineering Mechanics*, Vol. 144, No. 2, pp. 04017180-1 to 04017180-21, 2018. - Anssi Karttunen, J.N. Reddy, and J. Romanoff, “Micropolar modelling approach for periodic sandwich beams,”
*Composite Structures*, Vol. 185, pp. 656-664, Feb 2018. - P. Raghu, A. Rajagopal, and J. N. Reddy, “Nonlocal nonlinear finite element analysis of composite plates using TSDT,”
*Composite Structures*, Vol. 185, pp. 38-50, Feb 2018. - R. A. Salas, F. J. Ramırez, W. Montealegre-Rubio, E.C.N. Silva, and J.N. Reddy, “A Topology optimization formulation for transient design of multi-entry laminated piezocomposite energy harvesting devices coupled with electrical circuit,”
*International Journal for Numerical Methods in Engineering*, Vol. 113, No. 8, pp. 1370-1410, Feb 2018. - Z. Wang, A.R. Srinivasa, K.R. Rajagopal, and J.N. Reddy, “Simulation of inextensible elasticplastic beams based on an implicit rate type model,”
*International Journal of Non-Linear Mechanics*, Vol. 99, pp. 165-172, Mar 2018. - S.R. Chowdhury, G. Kar, D. Roy, and J.N. Reddy, “Metal viscoplasticity with twotemperature thermodynamics and two dislocation densities,”
*Continuum Mechnanics and Thermodynamics*, Vol. 30, No. 2, pp. 397-420, Mar 2018. - R.A. Salas, F. Ramirez-Gil, W. Montealegre-Rubio, E.C.N. Silva, and J.N. Reddy, “Optimized dynamic design of laminated piezocomposite multi-entry actuators considering fiber orientation”
*Computer Methods in Applied Mechanics and Engineering*, Vol. 335, pp. 223-254, 2018. - K.S. Surana, A.D. Joy, and J.N. Reddy, “Ordered rate constitutive theories for thermoviscoelastic solids without memory incorporating internal and Cosserat rotations”
*Acta Mechanica*, Vol. 229, pp. 3189-3213, 2018. - S. Srividhya, P. Raghu, A. Rajagopal, and J.N. Reddy, “Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory,”
*International Journal of Engineering Science*, Vol. 125, pp. 1-22, 2018. - Namhee Kim and J.N. Reddy, “Least-squares finite element analysis of flow of a generalized newtonian fluid past a circular cylinder,”
*Mechanics of Advanced Materials and Structures*, Vol. 25, No. 14, pp.1186-1196, 2018. - A. Archana, A.R. Srinivasa, and J.N. Reddy, “A Higher-Order Theory for Open and Closed Curved Rods and Tubes Using a Novel Curvilinear Cylindrical Coordinate System,”
*Jouranl of Applied Mechanics*, Vol. 85, No. 9, 091006 (11 pages), Sep. 2018. - A. Archana and J.N. Reddy, “A one-dimensional model of 3-D structure for large deformation: a general higher-order rod theory,”
*Acta Mechanica*, Vol. 229, 1803–1831, 2018. - S. Srividhya, K. Basant,· R. K. Gupta, A. Rajagopal, and·J. N. Reddy, “Influence of the homogenization scheme on the bending response of functionally graded plates,”
*Acta Mechanica*, Vol. 229, pp. 4071-4089, Oct. 2018. - Mohsen Nowruzpour and J.N. Reddy “Unification of local and nonlocal models within a stable integral formulation for analysis of defects,”
*International Journal of Engineering Science*, Vol. 132, pp. 45-59, Nov 2018. - M.A.Khan, S.Kumar, and J.N.Reddy, “Material-tailored adhesively bonded multilayers: A theoretical analysis,”
*International Journal of Mechanical Sciences*, Vol. 148, November 2018, pp. 246-262, Nov. 2018. - Mohsen Nowruzpour, Saikat Sarkar, J. N. Reddy, and Debasish Roy, “An upscaled law for fractured Carbon nanotubes,”
*Journal of Mechanics and Physics of Solids*, accepted for publication. - 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. - C.Y. Kiyono, S.L. Vatanabe, E.C.N. Silva, and J.N. Reddy, “Stress-based topology optimization for continuum and composite structures,”
*Composite Structures*, accepted for publication. - Shubhankar Roy Chowdhury, Pranesh Roy, Debasish Roy, and J.N. Reddy, “A modified peridynamics correspondence principle: removal of zero-energy deformation and other implications,”
*Computer Methods in Engineering and Applied Mechanics*, accepted for publication.