Dr. Reinhard Piltner                               

   Dept. of Mathematical Sciences           

   Georgia Southern University
   Statesboro, GA 30460-8093   

   email:  rpiltner@georgiasouthern.edu            

   

   

   RESEARCH INTERESTS

• Partial Differential Equations
• Finite Element Methods
• Mathematics and Mechanics
• Computational Mechanics
• Biomedical Modeling and Simulations

EDUCATION

• Doctor of Engineering (Computational Mechanics), Ruhr-University Bochum, Germany.
• Postdoc at the University of California at Berkeley (Dept. of Civil Engineering).
  

COURSES

• Math 1111
• Math 1112
• Math 1113
  

PROFESSIONAL AFFILIATIONS

• AMS: American Mathematical Society (Member)
• ASME: American Society of Mechanical Engineers (Member)
• USACM: United States Association for Computational Mechanics (Member)
  

SELECTED PUBLICATIONS

• R. Piltner, “Some remarks on hybrid-Trefftz finite elements with elliptic holes”, Finite Elements in Analysis and Design, Volume 44, Issues 12-13, pp 767-772. (2008).
  
  
• R. Piltner and R.L. Taylor, "A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements", International Journal for Numerical Methods in Engineering, 44, 615 - 639, (1999).
  
  
• R. Piltner, "Overview about solution representations for elasticity problems and some selected particular solutions", Mathematics and Mechanics of Solids, 6, 193 - 220, (2001).
  
  
• R. Piltner and R.L. Taylor, "Triangular finite elements with rotational degrees of freedom and enhanced strain modes", Computers & Structures, 75, 361 - 368, (2000).
  
  
• R. Piltner, "An alternative version of the Pian-Sumihara element with a simple extension to non-linear problems", Computational Mechanics, 26, 483 - 489, (2000).
  
  
• R. Piltner, "An implementation of mixed enhanced finite elements with strains assumed in cartesian and natural element coordinates using sparse B-bar matrices", Engineering Computations, 17, 933 - 949, (2000).
  
  
• R. Piltner and P.J.M. Monteiro, "Stress analysis of expansive reactions in concrete", Cement and Concrete Research Journal, 30, 843 - 848, (2000).
  
  
• T. Celestino, R. Piltner, P. Monteiro and C. Ostertag, "Fracture mechanics of marble using a splitting tension test", Journal of Materials in Civil Engineering, Vol. 13 (6), 407 – 411, (2001).
  
  
• R. Piltner, "Mixed enhanced finite elements with strains assumed in cartesian and natural element coordinates", Proceedings of the European Conference on Computational Mechanics 1999, Editor: W. Wunderlich, pp. 1 - 8, (1999).
  
  
• R. Piltner and R.L. Taylor, " Triangular finite elements with rotational degrees of freedom and enhanced strain modes ", Report of the Division of Structural Engineering, Mechanics and Materials, Dept. of Civil Engineering, University of California at Berkeley, Report: UCB/SEMM-98-04, April 1998.
  
  
• R. Piltner, "Efficient Versions of Mixed Enhanced Finite Elements with Strains Assumed in Cartesian and Natural Element Coordinates", in: "Modeling and Simulation Based Engineering", Vol. I, Eds.: S. N. Atluri and P.E. O'Donoghue, Tech Science Press, pp. 302 - 307, (1998).
  
  
• R. Piltner and C. Ostertag, "Experimental and Numerical Analysis on the Influence of Local Stress Concentrations on Crack Initiation in Welded Steel Beam Connections", Proceedings of the 12th ASCE Engineering Mechanics Conference, La Jolla, Eds.: H. Murakami and J.E. Luco, pp. 62-65, May 1998.
  
  
• R. Piltner, "On the systematic construction of trial functions for hybrid Trefftz shell elements", Computer Assisted Mechanics and Engineering Sciences (CAMES), Vol. 4, N 3/4, 633 - 644, 1997.
  
  
• R. Piltner, "Recent developments in the Trefftz-method for finite element and boundary element applications", Advances in Engineering Software, Vol. 24, N1-3, 107 - 115 (1995)
  
  
• R. Piltner and R.L. Taylor, "A quadrilateral mixed finite element with two enhanced strain modes", Int. J. Num. Methods Eng., Vol. 38, 1783 - 1808 (1995)
  
  
• R. Piltner, "Trefftz-type boundary elements for the evaluation of symmetric coefficient matrices", Computational Mechanics, 15, 137 - 160, (1994).
  
  
• R. Piltner, "A quadrilateral hybrid plate bending element for the inclusion of warping based on a three-dimensional plate formulation", Int. J. Num. Methods Eng., 33, 387 - 408 (1992)
  
  
• R. Piltner, "The derivation of a thick and thin plate formulation without ad hoc assumptions", Journal of Elasticity, 29, 133 - 173 (1992)
  
  
• R. Piltner, "Three-dimensional stress and displacement representations for plate problems", Mechanics Research Communications, 18 (1), 41 - 49 (1991)
  
  
• R. Piltner and R.L. Taylor, "A boundary element algorithm using compatible boundary displacements and tractions", Int. J. Num. Meth. Eng., 29, 1323 - 1341 (1990)
  
  
• R. Piltner, "On the representation of three-dimensional elasticity solutions with the aid of complex valued functions", Journal of Elasticity, 22, 45 - 55 (1989)
  
  
• R. Piltner, "Special finite elements with holes and internal cracks ", Int. J. Num. Meth. Eng., 21, 1471 - 1485 (1985)