Professor Dr. Reddy, the Oscar S Wyatt Endowed Chair Professor, Distinguished Professor, and Regents Professor of Mechanical Engineering at Texas A&M University, TX 77843-3123 (http://mechanics.tamu.edu), is a a highly-cited researcher, author of 21 textbooks and over 600 journal papers, and a leader in the applied mechanics field for more than 40 years. Dr. Reddy has been a member of Texas A&M faculty since 1992.

Reddy is known worldwide for his significant contributions to the field of applied mechanics through the authorship of widely used textbooks on the linear and nonlinear finite element analysis, variational methods, composite materials and structures, applied functional analysis, and continuum mechanics. No one since S.P. Timoshenko has the same impact on engineering mechanics education as Reddy through his textbooks that have helped three generations of engineers. His pioneering works on the development of shear deformation theories (that bear his name in the literature as the Reddy third-order plate theory and the Reddy layerwise theory) have had a major impact and have led to new research developments and applications.

His earlier research focused primarily on mathematics of finite elements, variational principles of mechanics, shear deformation and layerwise theories of laminated composite plates and shells, analysis of bimodular materials, modeling of geological and geophysical phenomena, penalty finite elements for flows of viscous incompressible fluids, least-squares finite element models of fluid flows and solid continua. Some of the ideas on shear deformation theories and penalty finite element models of fluid flows have been implemented into commercial finite element computer programs like ABAQUS, NISA, and HyperXtrude.

In recent years, Reddy’s research deals with 7- and 12-parameter shell theories, nonlocal and non-classical continuum mechanics problems, and problems involving couple stresses (i,e, the development of nonlocal beam and plate theories using the ideas of Eringen, Mindlin, Koiter, and others), surface stress effects, discrete fracture and flow, micropolar cohesive damage, and continuum plasticity of metals from considerations of non-equilibrium thermodynamics – as they appear in blood flow, bones, and materials with hard inclusions and phases.

He is the recipient of the 2000 Excellence in the Field of Composites and the 2004 Distinguished Research Award from the American Society for Composites. Recent Honors include: 2016 *Prager Medal*, Society of Engineering Science, 2016 Thomson Reuters IP and Science’s Web of Science Highly Cited Researchers – *Most Influential Minds*, the 2016 *ASME Medal* from the American Society of Mechanical Engineers, and the 2017 John von Neumann Medal from the US Association of Computational Mechanics. Professor Reddy is Member of the US National Academy of Engineering and Foreign Fellow of the Candian Academy of Engineering, the Brazilian National Academy of Engineering, and the Indian National Academy of Engineering.

__Lecture Title__**: **Recent Developments in Shell Finite Elements and Non-Local Continuum Mechanics Theories

__Lecture Abstract__**: **In this lecture (1) a high-order spectral/hp continuum shell finite element for the numerical simulation of the fully finite deformation mechanical response of isotropic, laminated composite, and functionally graded elastic shell structures and (2) non-local continuum mechanics theories and applications will be discussed. The shell element is based on a modified first-order shell theory using a 7-parameter expansion of the displacement field (2016). The non-local theories discussed include higher gradient to truly nonlocal. In this lecture, an overview of the author’s recent research on nonlocal elasticity and couple stress theories in formulating the governing equations of functionally graded material beams and plates will be discussed. In addition to Eringen’s nonlocal elasticity (1972), two different nonlinear gradient elasticity theories that account for (a) geometric nonlinearity and (b) microstructure-dependent size effects are discussed to establish the connection between them. The first theory is based on modified couple stress theory of Mindlin (1963) and the second one is based on Srinivasa-Reddy gradient elasticity theory (2013). These two theories are used to derive the governing equations of beams and plates. In addition, the graph-based finite element framework (GraFEA) suitable for the study of damage in brittle materials will be discussed. GraFEA stems from conventional finite element method (FEM) by transforming it to a network representation based on the study by Reddy and Srinivasa (2015) and advanced by Khodabakhshi, Reddy, and Srinivasa (2016).

**References**

- M. E. Gutierrez Rivera and J.N. Reddy (2016),
*Mech. Res. Comm*. - A. C. Eringen (1972):
*Int. J. Engng Sci*,**10**, p. 1. - R. D. Mindlin (1963):
*Experi. Mech.*,**3**(1), p. 1. - A. R. Srinivasa and J. N. Reddy (2013):
*J. Mech. Phys. Solids*,**61**(3), p. 873. - J. N. Reddy and A. R. Srinivasa (2015):
*Finite Elements in Anal. Design*, 104, 35-40. - P. Khodabakhshi, J. N. Reddy, and A. R. Srinivasa (2016):
*Meccanica*,**51**(12), 3129—3147.

**SELECTIVE PUBLICATIONS OF PROFESSOR J.N. REDDY**

**BOOKS**** (books with solution manuals are in bold) (****8****+12)**

- T. Oden and J.N. Reddy,
*Variational Methods in Theoretical Mechanics*, Springer-Verlag, NY, 1976;**2**1982.^{nd}ed. - T. Oden and J.N. Reddy,
*A Mathematical Theory of Finite Elements*, John Wiley & Sons,

New York, 1976.

- N. Reddy and M. L. Rasmussen,
*Advanced Engineering Analysis*, John Wiley, New York, 1982; reprinted by Krieger, Melbourne, FL, 1990. **4**.**N. Reddy**,, McGraw-Hill, New York, 1984; 2nd ed., 1993; 3*An Introduction to the Finite Element Method*^{rd}ed., 2006; 4th ed., 2018.**5**.**N. Reddy**,*Energy*__Principles__, John Wiley, NY, 1984; 2nd ed., 2002; 3rd ed. 2017.*and Variational Methods in Applied Mechanics***N. Reddy***, Applied Functional Analysis and Variational Methods in Engineering*, McGraw-Hill, NY, 1986; reprinted by Krieger, Melbourne, FL, 1991.- O. Ochoa and J.N. Reddy,
*Finite Element Analysis of Composite Laminates*, Kluwer Academic Publishers, The Netherlands, 1992. - N. Reddy and A. Miravete
*, Practical Analysis of Laminated Composite Structures*, CRC Press, FL, 1995. **N. Reddy**,*Mechanics of Laminated Composite Plates*__and Shells__*: Theory and Analysis*, CRC Press, Boca Raton, FL, 1996; 2nd ed., 2004.- N. Reddy and D. K. Gartling,
*The Finite Element Method in Heat Transfer and Fluid Dynamics*, CRC Press, FL, 1997; 2nd ed., 2001; 3rd ed., 2010. **N. Reddy**,*Theory and Analysis of Elastic Plates*__and Shells__**,**Taylor & Francis,

Philadelphia, PA,1999; 2nd ed., 2007.

- 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; 2^{nd} ed., 2015.

- 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; 2^{nd} ed., 2013.

16*. **J.N. Reddy**, *Principles of Continuum Mechanics. A Study of Conservation Principles with Applications**,* Cambridge University Press, New York, 2010; 2^{nd} ed., 2017. **Translated into French** and published in 2015 by De Boeck Superieur.

17*. R. T. Fenner and J.N. Reddy, ** Mechanics of Solids and Structures**, 2

^{nd}ed., CRC Press, Boca Raton, Florida, 2012.

- Roy and J.N. Reddy,
*Computational Modelling of Polymer Composites, A Study of Creep and Environmental Effects,*CRC Press, Boca Raton, Florida, 2013. - Rao, A. R. Srinivasa, and J.N. Reddy,
*Design of Shape Memory Alloy (SMA) Actuators*,, Springer-Verlag, Berlin (2015).*Springer Briefs in Applied Sciences* - S. Surana and J.N. Reddy,
, CRC Press, Boca Raton, Florida (2017).*The Finite Element Method for Boundary Value Problems, Mathematics and Computations* - S. Surana and J.N. Reddy, The Finite Element Method for Initial Value Problems, Mathematics and Computations, CRC Press, Boca Raton, Florida (2018) – already appeared.

** **

**JOURNAL PAPERS**** (last 5 years)**

- N. Reddy and J. Kim, “A nonlinear modified couple stress-based third-order theory of functionally graded plates,”
*Composite Structures*, Vol. 94, pp. 1128-1143, 2012 (doi:10.1016/j.compstruct.2011.10.006). - N. Reddy and Archana Arbind, “Bending relationships between the modified couple stress-based functionally graded Timoshenko beams and homogeneous Bernoulli-Euler beams”
*Annals of Solid and Structural Mechanics,*Vol. 3, No. 1, pp. 15-26, 2012 (DOI: 10.1007/s12356-012-0026-z). - Moleiro, C. M. Mota Soares, C. A. Mota Soares, and J.N. Reddy, “Assessment of a layerwise mixed least-squares model for analysis of multilayered piezoelectric composite plates,”
*Computers and Structures*, Vol. 108-109, pp. 14-30, 2012. - P. Vallala, G.S. Payette, and J.N. Reddy, “Spectral/hp finite element formulation for viscoelastic beams based on an higher-order beam theory,”
*International Journal of Applied Mechanics*, Vol. 4, No. 1, pp. 1–28, 2012. - S. Payette, K. B. Nakshatrala, and J.N. Reddy, “On the performance of high-order finite elements with respect to maximum principles and the nonnegative constraint for diffusion-type equations,”
*International Journal for Numerical Methods in Engineering*, Vol. 91, pp. 742-771, 2012. - N. Reddy and Jessica Berry, “Modified couple stress theory of axisymmetric bending of functionally graded circular plates,”
*Composites Structures*, Vol. 94, pp. 3664-3668, 2012. - Vallala, A. Ruimi, and J.N. Reddy, “Nonlinear viscoelastic analysis of orthotropic beams using a general third-order theory,”
*Composite Structures*, Vol. 94, pp. 3759-3768, 2012. - V. Araujo dos Santos and J.N. Reddy, “Vibration of Timoshenko beams using non-classical elasticity theories,”
*Shock and Vibration*, Vol. 19, No. 3, pp. 251-256, 2012. - S. Payette and J.N. Reddy ”A nonlinear finite element framework for viscoelastic beams based on the high—order Reddy beam theory,”
*Journal of Engineering Materials and Technology*, Vol. 135, No. 1, pp. 011005-1 to 011005-11, 2013. - N. Reddy and Patrick Mahaffey, “Generalized beam theories accounting for von Kármán nonlinear strains with application to buckling and post-buckling,”
*Journal of Coupled Systems and Multiscale Dynamics*, Vol. 1, No.1, pp. 120-134, 2013. - Srinivasa and J.N. Reddy, “A model for a constrained, finitely deforming, elastic solid with rotation gradient dependent strain energy, and its specialization to von Karman plates and beams,”
*Journal of Physics and Mechanics of Solids*, Vol. 61, No. 3, pp. 873–885, Mar 2013. - Archana Arbind and J.N. Reddy, “Nonlinear analysis of functionally graded microstructure-dependent beams,”
*Composite Structures*, 98, pp. 272-281, Apr 2013. - Kim and J.N. Reddy, “Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory,”
*Composite Structures*, Vol. 103, pp. 86–98, Sep 2013. - -L. Gao, J. X. Huang, and J.N. Reddy, “A non-classical third-order shear deformation plate model based on a modified couple stress theory,”
*Acta Meccanica*, Vol. 224, No. 11, pp. 2699-2718, Nov 2013. - Jayavel Arumugam, A. R. Srinivasa, and J.N. Reddy, “A thermodynamic model for ionic polymer-metal composites and finite volume-finite element solution,”
*Composite Structures,*106, pp. 461-469, Dec 2013. - Archana Arbind, J.N. Reddy, and A. Srinivasa, “Modified couple stress-based third-order theory for nonlinear analysis of functionally graded beams,”
*Latin American Journal of Solids and Structures,*Vol 11, No 3, pp. 459-487, 2014. - S. Surana, M. Powell, and J.N. Reddy, “A simple mixture theory for
*n*Newtonian and generalized Newtonian constituents,”*Continuum Mechanics and Thermodynamics*, Vol. 26 (1), pp. 33-65, Jan 2014. - Moleiro, C.M. Mota Soares, C.A. Mota Soares, and J.N. Reddy, “Benchmark exact solutions for the static analysis of multilayered piezoelectric composite plates using PVDF,”
*Composite Structures*, Vol. 107, pp. 389-395, Jan 2014. - -F. Wen, S.-T. Tu, X.-L. Gao, and J.N. Reddy, “New model for creep damage analysis and its application to creep crack growth simulations,”
*Materials Science and Technology,*Vol. 30, No.1, pp. 32-37, Jan 2014. - G. Sinir, B. B. Özhan, and J.N. Reddy, “Buckling configurations and dynamic response of buckled Euler-Bernoulli beams with non-classical supports,”
*Latin American Journal of Solid Mechanics*, Vol. 11, No. 14, pp. 2516-2536, 2014. - P. Vallala, R. Sadr, and J.N. Reddy, “Higher order spectral/hp finite element models of the Navier-Stokes equations,”
*International**Journal of Computational Fluid Dynamics*, Vol. 28, Nos. 1-2, pp. 16-30, Jan 2014. - Jani Romanoff and J.N. Reddy, “Experimental validation of the modified couple stress Timoshenko beam theory for web-core sandwich panels,”
*Composite Structures*, Vol. 111, pp. 130-137, May 2014. - S. Surana, K.P.J. Reddy, A. D. Joy, and J.N. Reddy, “Riemann shock tube: 1D normal shocks in air; simulations and experiments,”
*International Journal of Computational Fluid Dynamics,*Vol. 28 (6-10), pp. 251-271, 2014. - S. Payette and J.N. Reddy, “A seven-parameter spectral/hp finite element formulation for isotropic, laminated composite and functionally graded shell structures,”
*Computer Methods in Applied Mechanics and Engineering*, Vol. 278, pp. 664-704, Aug 2014. - L. Ke, Y.S. Wang, and J.N. Reddy, “Thermo-electro-mechanical vibration of size-dependent piezoelectric cylindrical nanoshells under various boundary conditions,”
*Composite Structures*, Vol. 116, pp. 626-636, Sep-Oct 2014. - N. Reddy and A. R. Srinivasa, “Non-linear theories of beams and plates accounting for moderate rotations and material length scales,”
*International Journal of Non-Linear Mechanics*, Vol. 66, pp. 43–53, Nov 2014. - N. Reddy and S. El-Borgi, “Eringen’s nonlocal theories of beams accounting for moderate rotations,”
*International Journal of Engineering Science*, Vol. 82, pp. 159-177, 2014. - 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, Oct 2014. - N. Reddy, Sami El-Borgi, and Jani Romanoff, “Non-linear analysis of functionally graded microbeams using Eringen’s nonlocal differential model,”
*International Journal of Non-Linear Mechanics*, Vol. 67, pp. 308–318, Dec 2014. - 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, Jan 2015. - 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. - 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. - Jinseok 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, Sep 2015. - Parisa Khodabakhshi and J.N. Reddy, “A Unified Integro-Differential Nonlocal Model,”
*International Journal of Engineering Science*, Vol. 95, pp. 60-75, Oct 2015. - 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. - 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. - 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, Oct 2015. - 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. - 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. - 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, Nov 2015. - 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. - 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. - 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. - 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. - 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. - 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. - 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,*84, pp. 110-132, May 2016. - Anssi T. Karttunen, Jani Romanoff, and N. Reddy, “Exact microstructure-dependent Timoshenko beam element,”
*International Journal of Mechanical Sciences*, Vol. 111, pp. 35-42, Jun 2016. - 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. - 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*, Vol. 152, pp. 418-431, Sep 2016. - W. Zhang, K.M. Liew, and J.N. Reddy, “Geometrically nonlinear analysis of arbitrarily straight-sided quadrilateral FGM plates,”
*Composite Structures*, Vol. 154, pp. 443-452, Oct. 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. - 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 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*(50^{th}Anniversary Volume), Vol. 51, No. 12, 3129-3147, Dec 2016. - Mahmoud Mousavi, J. N. Reddy, and Jani Romanoff, “Analysis of anisotropic gradient elastic shear deformable plates,”
*Acta Meccanica*, Vol. 227, No. 12, pp. 3639-3656, 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. - 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,*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.,*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*, 24, No. 5, pp. 437-447, 2017. - Shubhankar Roy Chowdhury, Gurudas Kar, Debasish Roy, and J.N. Reddy, “Two-temperature thermodynamics for metal viscoplasticity: continuum modelling and numerical experiments,”
*Journal of Applied Mechanics*, Vol. 84, No. 1, 011002, 2017. - Chang, K.B. Nakshatrala, and J.N. Reddy, “Modification to Darcy-Forchheimer model due to pressure-dependent viscosity: consequences and numerical solutions,”
*Journal of Porous Media*, Vol. 20, No. 3, pp. 263-285, 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. - Wooram Kim and J.N. Reddy, “An improved time integration algorithm: A collocation time finite element approach,”
*International Journal of Structural Stability and Dynamics*, Vol. 17, No. 2, Article Number: 1750024, Mar 2017. - Anuj Chaudhry, Namhee Kim, Ginu Unnikrishnan, J.N. Reddy, and Raffaella Righetti “Effect of interstitial fluid pressure on ultrasound axial strain and axial shear strain elastography,”
*Ultrasonic Imaging*, Vol. 39, 2, pp. 137-146, Mar 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,*165, pp. 233-241, Apr 2017. - Anssi T. Karttunen, Raimo von Hertzen, J.N. Reddy, and Jani Romanoff, “Exact elasticity-based finite element for circular plates,”
*Computers and Structures,*182, pp. 219-226, Apr 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, 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. - Wooram Kim and J.N. Reddy, “Effective higher-order time integration algorithms for the analysis of linear structural dynamics,”
*Journal of Applied Mechanics*, Vol. 84, 071009-1 to 071009-13, July 2017. - Arun Srinivasa and J.N. Reddy, “A survey of nonlocal theories of continuum mechanics and a general framework for conservative and dissipative systems,”
*Applied Mechanics Reviews*, accepted for publication. - Tang, A. Chaudhry, N. Kim, J.N. Reddy, and R. Righetti, “Effect of bone-soft tissue friction on ultrasound axial shear strain elastography,”
*Physics in Medicine and Biology*, Vol. 62, No. 15, p. 6074. 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, 2017.
- M. Rahaman, A. Pathak, D. Roy, and J.N. Reddy, “Thermo-visco-plasticity under high strain rates: a micro-inertia driven dynamic flow rule,” International Journal of Non-Linear Mechanics, Vol. 95, pp. 10-18, 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.