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Craig D. Foster

Assistant Professor

Craig D. Foster

Ph.D. Civil and Environmental Engineering (2006)
Stanford University

M.S. Civil and Environmental Engineering (2002)
Stanford University

B.S. Mathematics (1995)
Princeton University

Contact Information
Office: 3085 ERF
Phone: 312-996-8086
Fax: 312-996-2426
Faculty Profile

Research Interests My research focuses on computer modeling of deformation in solid materials with an emphasis on geomaterials such as rocks, soils, and concrete. In particular, I use finite elements to investigate a variety of problems, from plasticity and damage to fracture, shear banding and other types of localized deformation. Current areas of interest include:

• Evolving discontinuity methods for capturing fracture, shear banding, and other forms of localized deformation

• Coupled-physics problems, for example thermal-fluid-mechanical systems such as earthquake faults

• Faulting and earthquake engineering, including soil-structure interaction

• Geomechanical issues in energy production, including hydrocarbon reservoirs, carbon sequestration, and heat pumps

• Computational plasticity, damage and constitutive modeling

• Finite elements and other computational techniques

Faculty Profile

Editorial Activities

Journal Review:

ASCE Journal of Engineering Mechancs, 2004 - present

ASCE Journal of Geotechnical and Geoenvironmental Engineering, 2006 - present


National Science Foundation International Research Fellowship, 2006-2007

Eighth U.S. National Congress on Computational Mechanics Financial Assistance Award, 2005

Sandia National Laboratories/Stanford University Excellence in Engineering Assistantship, 2004-2005, 2005-2006

Achievement Rewards for College Scientists Stanford Graduate Fellowship, 2000-2003

Centennial Teaching Assistant Award, Stanford University, 2003.


Selected Publications

Peer Reviewed Journal Publications

C.D. Foster, R.I. Borja, R.A. Regueiro. “Modeling the effects of variable friction in fractured geomaterials in an embedded strong discontinuity finite element setting” International Journal of Numerical Methods in Engineering, in press.Peer Reviewed Journal Publications

R.I. Borja and C.D. Foster. “Continuum mathematical modeling of slip weakening in geological systems” Journal of Geophysical Research, in press.

C.D. Foster, R.A. Regueiro, A.F. Fossum, and R.I. Borja. “Implicit numerical integration of a three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials” Computer Methods in Applied Mechanics and Engineering, Vol. 194, Nos. 50-52, 2005, 5109-5138.

Conference papers and presentations:

C.D. Foster and R.I. Borja. “Brittle fracture, slip weakening, and variable friction modeling in geomaterials using an embedded strong discontinuity finite element” ALERT Geomaterials Workshop, October 9-11, 2006.

C.D. Foster, R.I. Borja, and J. Oliver. “Strong discontinuity modeling of slip weakening and variable friction in geomaterials” International Union of Theoretical and Applied Mechanics Seminar on Discretisation Methods for Evolving Discontinuities, September 4-7, 2006, Lyon, France (poster).

C.D. Foster and R.I. Borja. “Capturing slip weakening and variable frictional response in localizing geomaterials using an enhanced strain finite element” Third European Conference on Computational Mechanics, June 5-9, 2006, Lisbon, Portugal.

C.D. Foster, R.I. Borja, and D.D. Pollard. “Continuum mathematical modeling of slip weakening in geological systems” Eos Trans. AGU, 86 (52), Fall Meet. Suppl., Abstract T21B-0466 (poster).

R.I. Borja, J.E. Andrade, C.D. Foster, and P.F. Sanz. “Computational plasticity in geomechanics across different scales” (plenary lecture) Eighth International Conference on Computational Plasticity Fundamentals and Applications, September 5-8, 2005, Barcelona, Spain.

C.D. Foster, R.I. Borja, and R.A. Regueiro. “Modeling strain localization in geomaterials using a strong discontinuity approach with rate- and state- dependent friction” Eighth US National Congress on Computational Mechanics, July 24-27, 2005, Austin, TX.

C.D. Foster, R.I. Borja, and R.A. Regueiro. “Embedding frictional models in an enhanced strain element for modeling failure in geomaterials” Third MIT Conference of Computational Fluid and Solid Mechanics, June 14-17, 2005, Boston, MA.

R.I. Borja, C.D. Foster, and R.A. Regueiro. “Formulation and implementation of a strong discontinuity model for granular rocks incorporating the effect of slip speed on frictional resistance” Eleventh International Conference on Fracture, March 20-25, 2005, Turin, Italy.

R.I. Borja and C.D. Foster. “Formation and evolution of strong discontinuity in granular rocks”, Eos Trans. AGU, 85 (47), Fall Meet. Suppl., Abstract S41A-0926.

R.A. Regueiro, C.D. Foster, A.F. Fossum, and R.I. Borja. “Bifurcation analysis of a three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials.” Proceedings of Gulf Rocks 2004, Rock Mechanics Across Borders and Disciplines, June 6-10, 2004, Houston, Texas. ARMA/NARMS 04-520.

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