Carlos Felippa: Selected Center Publications

Center Publications of Carlos Felippa

In preparation; started June 2000. All documents will be in PDF. Only Center Reports, conference presentations and work in progress will be posted but not copyrighted journal papers. Reports containing sensitive informations not released by sponsor are omitted.


See vita for complete list. Eventually (hopefully this millennium), vita references will be cross-linked with Publications herein.

Pre 1986 Reports

Most of these were not in electronic format. The first TeX-formatted document was written in 1981, with a VAX beta version of TeX82, but most files were not saved when moving from Lockheed to Boulder. A few of particular importance will be reconstructed (e.g., from reprint scans) and posted here.

A Triangular Membrane Element with Rotational Degrees of Freedom.. The first rank-sufficient element of this type that passed the patch test. Based on Pal Bergan's Free Formulation. Appeared in CMAME, Vol. 50, 25-69, 1985.


Year 1989 Reports

The First ANDES Elements. Reposted since reprints from the 1991 CMAME article ran out.

Year 1991 Reports

Membrane Triangles with Corner Drilling Freedoms, Part I: The EFF Element. Presents an optimal 3-node membrane triangle with drilling freedom, derived by the EFF (Extended Free Formulation). Reposted since reprints from the 1992 FEAD article ran out.
Membrane Triangles with Corner Drilling Freedoms, Part II: The ANDES Element. Presents an optimal 3-node membrane triangle with drilling freedom, derived by the ANDES (Assumed Ntural DEviatoric Strain) formulation. Turns out it coalesces with the optimal element presented in Part I. Reposted since reprints from the 1992 FEAD article ran out.
Membrane Triangles with Corner Drilling Freedoms, Part III: Implementation and Performance Evaluation. Evaluates the element derived in Parts I and II on standard benchmarks, confirming optimality and hence the end of the road for this element type. Lists a Fortran implementation. Reposted since reprints from the 1992 FEAD article ran out.

Year 1992 Reports

A Survey of Parametrized Variational Principles and Applications to Computational Mechanics. Surveys the formulation and applications of PVPs as of 1992-93. Reposted since reprints from the CMAME article (Vol 113, pp. 109--139, 1994) ran out.

Year 1996 Reports

Recent Developments in Parametrized Variational Principles for Mechanics. Report CU-CAS-96-03, January 2006.
Reposted since reprints from the CM article (Vol 11, 443-461, 1996) ran out.

Year 1997 Reports

The Formulation of Free-Free Flexibility Matrices as Generalized Stiffness Inverses. Report CU-CAS-97-09, April 1997.
By popular request since C&S reprints ran out.

Year 1999 Reports

A Variational Principle for the Formulation of Partitioned Structural Systems. Report CU-CAS-99-02, February 1999.
Partitioned Analysis of Coupled Mechanical Systems. Report CU-CAS-99-06, March 1999. To appear in a special CMAME issue on Fluid-Structure Interaction.
On the Original Publication of the General Canonical Functional of Linear Elasticity. Report CU-CAS-99-07, April 1999. Why the Hu-Washizu functional is misnamed: Fraeijs de Veubeke's publication priority.
(three more reports of 1999 will be posted later.)

Year 2000 Reports

A Systematic Approach to the Element-Independent Corotational Dynamics of Finite Elements. Report CU-CAS-00-03, January 2000, revised May 2000.
A Historical Outline of Matrix Structural Analysis: A Play in Three Acts. Report CU-CAS-00-13, June 2000.
Recent Advances in Finite Element Templates. Report CU-CAS-00-14, June 2000.
Customizing the Mass and Geometric Stiffness of Thin Plane Beam Elements by Fourier Methods. Report CU-CAS-00-19, July 2000.

Year 2001 Papers & reports

Customizing High Performance Elements by Fourier Methods. An extract of CU-CAS-00-19 contributed to Trends in Computational Structural Mechanics, held May 20-23, 2001 at Lake Constance, Austria.
Interfacing Nonmatching FEM Meshes: the Zero Moment Rule. Report CU-CAS-01-01, contributed to Trends in Computational Structural Mechanics, held May 20-23, 2001 at Lake Constance, Austria.
The Construction of Free-Free Flexibility Matrices for Multilevel Structural Analysis. Report CU-CAS-01-06, to appear in CMAME, 2002.
Modified Equation Methods. A technical note in preparation.
Fraeijs de Veubeke: Neglected Discoverer of the "Hu-Washizu Functional" (HTML). Contributed to IACM Expressions.
A simple algorithm for localized construction of nonmatching structural interfaces. PDF proofs of article to appear in IJNME, 2002.
A contact formulation based on localized Lagrange multipliers. PDF proofs of article to appear in IJNME, 2002.

Year 2002 Reports

Volumetric constraint models for anisotropic elastic solids. J. Appl Mech, submitted.
Strain, stress and energy splittings for anisotropic elastic solids under volumetric constraints. Computers & Structures, in press.
Fitting strains and displacements by minimizing dislocation energy Presented at the Sixth International Conference on Computational Structures Technology, held at Prague, Czech Republic, September 2002. Proceedings made available only in CD-ROM.

(Other CAS reports skipped, not released by sponsors)


Year 2003 Reports

A study of optimal membrane triangles with drilling freedoms. Revision of CU-CAS-02-07. Comp. Meths. Appl. Mech. Engrg, in press.
A template tutorial I: panels, families, clones, winners and losers. Revision of CU-CAS-02-17. Computers & Structures, submitted.

Year 2005 Reports

The amusing history of shear flexible beam elements. Appeared in Feb. 2005 issue of IACM Expressions.
A unified formulation of small-strain corotational finite elements: I. Theory, To appear in CMAME.
Nodally exact Ritz discretizations of 1D diffusion-absorption and Helmholtz equations by variational FIC and modified equation methods, To appear in Computational Mechanics.
A template tutorial. Appeared as Ch. 3 of Computational Mechanics Theory and Practice, ed. by K. M. Mathisen, T. Kvamsdal and K. M. Okstad, CIMNE, Barcelona, 2005.
Synthesis tools for structural dynamics and partitioned analysis of coupled systems, Keynote paper chapter in Multi-Physics and Multi-Scale Computer Models in Nonlinear Analysis and Optimal Design of Engineering Structures under Extreme Conditions, ed. by A. Ibrahimbegovic and B. Brank, Proceedings NATO-ARW PST ARW980268, Ljubliana, Slovenia, 2004, 50-110.
Supernatural Quad4: a template formulation, To appear in CMAME.
Construction of customized mass-stiffness pairs using templates, To appear in ASCE Journal of Aerospace.

Last update: April 2007.