Contact details:
Electronic mail: hnarayan at umich dot edu [ gpg key ]
Web site: http://umich.edu/~hnarayan/
Lab telephone: +1 (734) 936–2925
Current spatial position:
Department of Mechanical Engineering
Computational Mechanics Laboratory
3003 EECS, 1301 Beal Avenue
Ann Arbor, Michigan — 48109–2122
Career Goal
To pursue a career in academia as a mechanics educator at a distinguished institution of higher learning.
Education
University of Michigan, Ann Arbor, Michigan
Ph.D. in Mechanical Engineering and Scientific Computing, July 2007 (Expected)
Dissertation topic: The mechanics and physics of biological growth
Dissertation chair: Prof. Krishnakumar R. Garikipati
M.S. in Mathematics, December 2006
M.S.E. in Mechanical Engineering, December 2003
University of Madras, Madras, India
B.E. in Mechanical Engineering, July 2002 (First class with distinction)
Academic Honours
Received the Sir C. P. Ramaswamy Aiyar Endowment Scholarship from the University of Madras in 2001–02 for excellent academic performance at the undergraduate level.
Received a Certificate of Merit for outstanding academic work throughout 12th grade, including securing the First Rank in Physics, AISSCE 1998 (C.B.S.E. 12th).
Academic Interests
Classical and modern field theories of mechanics, Multi-physics phenomena
Analysis of numerical methods, Advanced finite element methods
Large scale, high performance computing
Graduate Coursework
Theoretical mechanics, Continuum mechanics, Solid and structural mechanics, Theory of elasticity, Mechanics of polymers, Differential equations in mechanics, Mechanical vibrations
Finite element, difference and volume methods, Multi-grid methods, Spectral methods, Level set methods, Numerical linear algebra, Complex analysis, Methods of applied analysis
Computational modelling of biological tissue, Multi-physics phenomena at micro-scales, General relativity, Parallel computing
A more detailed list of courses can be found here.
Research Experience
January 2003 – Present: Graduate Student Research Assistant studying the mechanics of biological tissue growth. This doctoral thesis work is supervised by Prof. Krishnakumar R. Garikipati, Prof. Ellen M. Arruda and Prof. Karl Grosh in the Department of Mechanical Engineering and Prof. Trachette L. Jackson in the Department of Mathematics.
October 2002 – December 2002: Directed Research under Prof. Krishnakumar R. Garikipati in collaboration with Prof. Michael Falk, working on numerical evaluation of Green's function solutions pertinent to defect formation in anisotropic solids under stress.
August 2001 – July 2002: Undergraduate Senior Year Project at the University of Madras on systematically evaluating the use of gaseous petroleum as a viable fuel for automobiles. This work was under the guidance of Prof. S. Sampath and Prof. B. S. Murthy.
Teaching Experience
September 2006 – December 2006: Graduate Student Instructor for Mechanical Behaviour of Materials (ME 382), working with Prof. Ellen M. Arruda and Prof. J. Wayne Jones.
Recent Publications
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“Recent advances in the mathematics and physics of biological growth models”
H. Narayanan, E. M. Arruda, K. Grosh, K. Garikipati
Biomechanics and Modeling in Mechanobiology
Submitted, 2007 -
“Characterization and modeling of growth and remodeling in tendon and soft tissue constructs”
E. M. Arruda, S. Calve, K. Garikipati, K. Grosh, H. Narayanan
Mechanics of Biological Tissue, Springer, 2007 -
“The continuum elastic and atomistic viewpoints on the formation volume and strain energy of a point defect”
K. Garikipati, M. Falk, M. Bouville, B. Puchala, H. Narayanan
Journal of the Mechanics and Physics of Solids
Vol. 54 (9) pp. 1929 – 1951, September 2006 -
“Biological remodelling: Stationary energy, configurational change, internal variables and dissipation”
K. Garikipati, J. E. Olberding, H. Narayanan, E. M. Arruda, K. Grosh, S. Calve
Journal of the Mechanics and Physics of Solids
Vol. 54 (7) pp. 1493 – 1515, July 2006 -
“Material forces in the context of biotissue remodelling”
K. Garikipati, H. Narayanan, E. M. Arruda, K. Grosh, S. Calve
Mechanics of Material Forces, Springer, 2005 -
“A continuum treatment of growth in biological tissue: The coupling of mass transport and mechanics”
K. Garikipati, E. M. Arruda, K. Grosh, H. Narayanan, S. Calve
Journal of the Mechanics and Physics of Solids
Vol. 52 (7) pp. 1595 – 1625, July 2004
A complete list of publications can be found here.
Selected Talks
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“Finite Element Methods in General Relativity”
2006 Engineering Graduate Student Symposium, November 2006 -
“The numerical implications of fluid incompressibility in multiphasic modelling of soft tissue growth”
Seventh World Congress on Computational Mechanics, July 2006 -
“Viscoelastic and Growth Mechanics in Engineered and Native Tendons”
43rd Annual Technical Meeting of the Society of Engineering Science, August 2006 -
“Tendon Growth and Healing: The Roles of Reaction, Transport and Mechanics”
15th US National Congress on Theoretical and Applied Mechanics, June 2006 -
“Computational Modelling of Mechanics and Transport in Growing Tissue”
Eighth U.S. National Congress on Computational Mechanics, July 2005 -
“A Continuum Treatment of Coupled Mass Transport and Mechanics in Growing Soft Tissue”
Materials Research Society 2004 Fall Meeting, November 2004 -
“Multi-Scale Simulations of the Mechanics of Transport and Growth in Soft Tissue”
41st Annual Technical Meeting of the Society of Engineering Science, October 2004 -
“Material forces in the context of biological tissue remodelling”
Seventh U.S. National Congress on Computational Mechanics, July 2003 -
“A continuum treatment of growth in tissue: Mass transport coupled with mechanics”
Second MIT Conference on Computational Fluid and Solid Mechanics, June 2003
A complete list of presentations and other involvement at technical conferences, including links to electronic versions of presentation slides, can be found here.
Professional Development
Recognised as an Engineering Academic Scholar by the office of the Associate Dean for Graduate Education after successfully completing the Academic Careers in Engineering and Sciences Program, November 2005.
Professional Activities
Engineering Graduate Student Symposium (2003 – 2006): As an active member of the team responsible for organisation of the annual event, I have witnessed the growth of the symposium from its origins in the Department of Mechanical Engineering to now encompass most of the College of Engineering. My roles have included chairing technical sessions, creating the symposium web site, photographing the event and creating its visual identity.
System administrator (January 2003 – Present) for the Computational Mechanics Laboratory.
Writing articles related to free software and technology.