Publications

(* Denotes non-refereed or expository publication)

1.     A Neuro-Muscular Elasto-Dynamic Model of The Human Arm--Part 1: Model Development, (with Alan Barhorst). Journal of Bionics Engineering, 6(2) 93-107 (2009).

2.     A Neuro-Muscular Elasto-Dynamic Model of The Human Arm--Part 2: Musculotendon Dynamics, (with Alan Barhorst, Cody Moody). Journal of Bionics Engineering, 6(2) 108-119 (2009).

3.     Application of hybrid parameter methods to biomechanical systems,  (with A. Barhorst). Proceedings of the 2008 Chinese Control and Decision Conference.  Yantai, China, 830-843 (2008).

4.     A Nonlinear Dynamical Model and Response of Avian Cranial Kinesis (with A. Barhorst, S. Chatterjee, T. Burton).  Journal of Theoretical Biology, 240(1), pp: 32-47 (2006).

5.     Dynamic Model of The Human Arm (with C. Moody, A. Barhorst).  Proceedings of American Society of Mechanical Engineers International Mechanical Engineering Congress and Exposition, Washington D.C, 6 pp (2004).

6.     Effects of control strategies on stress development in skeletal structures (with A. Barhorst).  Proceedings of 2002 American Control Conference, Anchorage, AL, 2319-2323 (2002).

7.     Modeling and Control of 3D Eye Movement with Musculotendon Dynamics (with A. Polpitiya, B. Ghosh).  Proceedings of the 2002 IFAC World Congress, Barcelona, Spain, 6pp (2002).

8.     Modeling Human Movement Systems: Ocular Dynamics and Skeletal Systems.  IEEE Control Magazine, Vol. 21, 70-79 (2001).

9.     Approximations of Elliptical Arclength and Related Inequalities (with R. Barnard, K. Pearce).  Journal of Mathematical Analysis and Applications, Vol. 260, 295-306 (2001).

10.  Optimal Motor Control Strategies and a Hybrid Approach to Stress Analysis in Skeletal Systems (with A. Barhorst).  Proceedings 2001 American Control Conference, Arlington VA, 236-240 (2001).

11.  A Forward Dynamic Model of Gait with Application to Stress Analysis of Bone (with Y. Dewoody, C. Martin).  Journal of Mathematical and Computer Modeling, Vol. 33, 121-143 (2001).

12.  A Hybrid Approach to Stress Analysis in Skeletal Systems, (with A. Barhorst).  Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia, 271-277 (2000).

13.  The Control and Mechanics of Human Movement Systems (with C. Martin).  Dynamical Systems, Control, Coding, and Computer Vision: New Trends, Interfaces, and Interplay, ed. G. Picci and D. Gilliam, Birkhauser, 173-202 (1999).

14.  An Application of Direct Dynamics to Stress Development in Bone  (with Y DeWoody, C. Martin).  Proceedings of the Mathematical Theory of Network and Systems-98 Symposium, ed. A. Beghi, et al., 995-998 (1999).

15.  A Direct Dynamic Approach to Stress Development in Bone (with Y. DeWoody, C. Martin).  Proceedings of 20th International Conference of IEEE Medicine and Biology Society, Hong Kong, 2474-2477 (1999).

16.  Ocular Dynamics and Control (with C. Martin).  Proceedings of the 1999 IFAC World Congress, Beijing, China, 5pp (1999).

17.  A Dynamic 3-d Model of Ocular Motion (with P. Lockwood-Cooke, C. Martin).  Proceedings of 38th IEEE Conference on Decision and Control, Phoenix, AR, 406-409 (1999).

18.  *Modeling Human Motor Control (with W. P. Dayawansa).  The Science Corner: Lubbock Magazine, 42-45 (1999).

19.  Muscle Mechanics and Dynamics of Ocular Motion (with C. Martin).  Journal of Mathematical Systems, Estimation, and Control, Vol. 8, No. 2, 233-236 (summary).  Complete manuscript (15pp): birkhauser.com/journals/jmsec/download.html (1998).

20.  The Energy Release Rate for Antiplane Fracture in Nonlinear and Nonhomogeneous Elastic Material.  Developments in Mechanics: Proceedings of the Twenty-Fifth Midwestern Mechanics Conference, Rapid City, SD, Vol. 19, 11.1-11.4 (1998).

21.  A Control Model of Eye Movement (with C. Martin).  Proceedings of 36th IEEE Conference on Decision and Control, San Diego, CA, 1135-1140 (1997).

22.  Dynamical Systems Approach to Target Motion, Perception and Ocular Control (with Bijoy Ghosh, C. Martin, E.P. Loucks).  Systems and Control in the Twenty-First Century: Progress in Systems and Control, Birkhauser, ed. C. Byrnes, et al., Boston, Vol. 22, 185-204 (1997).

23.  Technology in the Mathematics Preparation of Pre-Service K-12 Teachers at Texas Tech University (with Gary A. Harris).  Proceedings of the Ninth Annual International Conference on Technology in Collegiate Mathematics, 222-226 (1997).

24.  Fatigue Effects in Models of Muscular Control (with C. Martin).  In Computational Neuroscience, ed. James Bower, Academic Press, San Diego, 385-391 (1996).

25.  An Antiplane Crack in a Nonhomogeneous Viscoelastic Body.  Engineering Fracture Mechanics, Vol. 36, 223-334 (1996).

26.  Energy Release Rate Calculations for Fracture in Nonhomogeneous and Nonlinear Material.  Proceedings of the Third International Conference on Composites Engineering, New Orleans, LA, 741-744, (1996).

27.  Muscular Control and Stress Fractures (with C. Martin).  Proceedings of 32nd Annual Meeting of the Society of Engineering, New Orleans, LA, 178-180 (1995).

28.  A Quasi-Statically Propagating Crack in a Nonhomogeneous Viscoelastic Material.  Proceedings of 32nd Annual Meeting of the Society of Engineering, New Orleans, LA, 221-223 (1995).

29.  A Numerical Method for Problems of Fracture in a Nonlinear Composite Material (with Marc Stromberg).  Proceedings of the Second International Conference on Composites Engineering, New Orleans, LA, 659-662 (1995).

30.  Fatigue Effects in Muscular Control (with C. Martin).  In Eighth IEEE Symposium on Computer-Based Medical Systems, IEEE Computer Society Press, Los Alamitos, CA, 188-196 (1995).

31.  Problems of Optimal Design with Application to Prosthetic Design and Stress Prediction (with C. Nunn, C. Martin).  In Eighth IEEE Symposium on Computer-Based Medical Systems, IEEE Computer Society Press, Los Alamitos, CA, 278-285 (1995).

32.  Quasi-Static Mode III Fracture in a Nonhomogeneous Viscoelastic Body: Erratum (with Joseph M. Herrmann).  Acta Mechanica, Vol. 106, No.1-2, 107-109 (1994).

33.  Dynamic Steady-State Mode III Fracture in a Nonhomogeneous Viscoelastic Body (with Joseph M. Herrmann).  Acta Mechanica, Vol. 106, No.1-2, 41-55 (1994).

34.  A Power Series Method for Solving Initial Value Problems Utilizing Computer Algebra Systems (with John T.White).  International Journal of Computer Mathematics, Vol. 47, 181-189 (1993).

35.  *Wave Propagation in a Nonhomogeneous Rod.  Proceedings of the 7th Annual Conference on Applied Mathematics, University of Central Oklahoma, Edmond, OK, 44-59 (1991).

36.  Quasi-Static Mode III Fracture in a Nonhomogeneous Viscoelastic Body (with Joseph M. Herrmann).  Acta Mechanica, Vol. 85, 235-249 (1990).

37.  *Riemann-Hilbert Boundary Value Problems in Fracture Mechanics.  Proceedings of 6th Annual Conference on Applied Mathematics, University of Central Oklahoma, Edmond, OK, 331-350 (1990).

38.  An Efficient Algorithm for Generating Implicitly Defined Functions (with Edward Allen, et al.).  International Journal of Computer Mathematics, Vol. 31, 137-145 (1990).

39.  A mode III Crack Terminating Asymmetrically at a Wedge-shaped Inhomogeneity (with B. Pashaie).  Advances in Fracture and Fatigue for the 1990's: Proceedings of the ASME PVP Conference, Honolulu, HI, 213-221 (1989).

40.  The Dynamic Energy Release Rate for Crack Propagation in Viscoelastic Media (with Jay R. Walton).  Proceedings of the Pan American Congress of Applied Mechanics, Rio de Janeiro, Brazil, 166-170 (1989).

41.  Some Aspects of Crack Behavior in a Nonhomogeneous Material (with T. Timmons).   Engineering Fracture Mechanics, Vol. 33, No. 5, 745-751 (1989).

42.  The Dynamic Energy Release Rate for Two Parallel Steadily Propagating Mode III Cracks in a Viscoelastic Body (with Jay R. Walton).  International Journal of Fracture, Vol. 41, 133-155 (1989).

43.  An Antiplane Shear Crack in a Nonhomogeneous Elastic Material.  Engineering Fracture Mechanics, Vol. 32, No. 1, 21-28 (1989).

44.  A Mode III Crack Problem in a Bonded Composite Material.  Engineering Fracture Mechanics, Vol. 31, No. 3, 437-449 (1988).

45.  On the Stress Singularity for an Antiplane Shear Crack at the Interface Between Two Bonded Inhomogeneous Elastic Material (with Jay R. Walton).  Journal of Applied Mechanics, Vol. 55, No. 1, 234-238 (1988).

46.  The Energy Release Rate for a Quasi-Static Mode I Crack in a Nonhomogeneous Linearly Viscoelastic Body (with Jay R. Walton).  Engineering Fracture Mechanics, Vol. 28, No. 4, 445-454 (1987).

47.  *Fracture in Damaged Media: An Inhomogeneous Material Approach.  Air Force Office of Scientific Research Technical Report, Air Force Astronautics Laboratory, Edwards AFB, CA (1987).

48.  The Quasi-Static Propagation of a Plane Strain Crack in a Power-Law Inhomogeneous Linearly Viscoelastic Body (with Jay R. Walton).  Acta Mechanica, Vol. 67, 61-77 (1987).

49.  *Book Review: Ray Methods for Waves in Elastic Solids.  In Transport Theory and Statistical Physics, Vol. 15, 551-553 (1986).

50.  A Griffith Crack Problem for an Inhomogeneous Elastic Material.  Acta Mechanica, Vol. 58, 67-80 (1986).