Articles
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J. Mandel, L.S. Bennethum, J.D. Beezley, J.L. Coen,
C.C. Douglas, L.P. Franca, M. Kim, and A. Vodacek,
A Wildland Fire Model with Data Assimilation
Mathematics and Computers in Simulation
To Appear.
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T.F. Weinstein, L.S. Bennethum, J.H. Cushman,
Multiscale, Three-Phase Theory for Swelling Drug Delivery Systems.
Part I: Constitutive Theory.
Journal of Pharmaceutical Sciences,
To Appear.
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T.F. Weinstein, L.S. Bennethum, J.H. Cushman,
Multiscale, Three-Phase Theory for Swelling Drug Delivery Systems.
Part II: Flow and Transport Models.
Journal of Pharmaceutical Sciences,
To Appear.
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Lynn Schreyer-Bennethum.
Theory of Flow and Deformation of Swelling Porous Materials
at the Macroscale.
Computers and Geotechnics, 34, pp. 267-278, 2007.
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T. Weinstein and L. S. Bennethum.
On the Derivation of the Transport Equation for
Swelling Porous Materials with Finite Deformation.
International Journal of Engineering Science, 44(18-19), pp. 1408-1422,
2006.
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L. S. Bennethum.
Compressibility Moduli for Porous Materials Incorporating Volume
Fraction,
Journal of Engineering Mechanics, 132(11), pp. 1205-1215, 2006.
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L. S. Bennethum.
Flow and Deformation: Understanding the Assumptions and
Thermodynamics,
in Proceedings of the XVth International Conference on Computational
Methods in Water Resources (CMWR XV), June 13-17, 2004, Chapel Hill, NC,
Volume 1, pp. 349-357, 2004.
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J. H. Cushman, L. S. Bennethum, and P. P. Singh.
Toward Rational Design of Drug Delivery Substrates:
I. Mixture Theory for Two-Scale Biocompatible Polymers,
Multiscale Modeling and Simulation, 2(2), pp. 302-334, 2004.
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J. H. Cushman, P. P. Singh, and L. S. Bennethum.
Toward Rational Design of Drug Delivery Substrates:
II. Mixture Theory for Three-Scale Biocompatible Polymers
and a Compuational Example,
Multiscale Modeling and Simulation, 2(2), pp. 335-357, 2004.
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L. S. Bennethum and T. Weinstein.
Three Pressures in Porous Media,
Transport in Porous Media, 54(1),
pp. 1-34, 2004.
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P. P. Singh, J. H. Cushman, L. S. Bennethum, and D. E. Maier.
Thermomechanics
of Swelling Biopolymeric Systems,
Transport in Porous Media, 53,
pp. 1-24, 2003.
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L. S. Bennethum.
Charge Neutrality - Does it Exist?
in Proceedings of Symposium on the Mechanics of Physicochemical
and Electromechanical Interactions in Porous Media, May 18-23, 2003,
The Netherlands.
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J. H. Cushman, L. S. Bennethum, and B. X. Hu.
A Primer on Upscaling
Tools for Porous Media,
Advances in Water Resources, 25 (8-12), pp.
1043 - 1067, 2002.
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L. S. Bennethum and J. H. Cushman.
Multicomponent, Multiphase Thermodynamics
of Swelling Porous Media with Electroquasistatics: I. Macroscale
Field Equations,
Transport in Porous Media, 47(3), pp. 309-336, 2002.
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L. S. Bennethum and J. H. Cushman.
Multicomponent, Multiphase Thermodynamics
of Swelling Porous Media with Electroquasistatics: II. Constitutive Theory,
Transport
in Porous Media, 47(3), pp. 337-362, 2002.
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L. S. Bennethum, M.M. Murad, and J. H. Cushman.
Macroscale Thermodynamics
and the Chemical Potential for Swelling Porous Media,
Transport in Porous
Media, 39(2), pp. 187-225, 2000.
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L. S. Bennethum and J. H. Cushman.
Coupled Solvent and Heat Transport
of a Mixture of Swelling Porous Particles and Fluids: Single Time-Scale
Problem,
Transport in Porous Media, 36(2), pp. 211-244, 1999.
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L. S. Bennethum, M. A. Murad, and J. H. Cushman.
Modified Darcy's Law,
Fick's Law, and Terzaghi's Effective Stress Principle for Swelling Clay
Soils
, Computers and Geotechnics, 20(3/4), pp. 245-266, 1997.
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L. S. Bennethum and T. Giorgi.
Generalized Forchheimer Law for Two-Phase
Flow Based on Hybrid Mixture Theory,
Transport in Porous Media, 26(3),
pp. 261-275, 1997.
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X. Feng and L. S. Bennethum. A Domain Decomposition Method for Solving
a Helmholtz-like Problem In Elasticity using a Wilson Nonconforming Element,
Mathematical Modelling and Numerical Analysis, 31(1), pp. 1-25, 1997.
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L. S. Bennethum, M. A. Murad, and J. H. Cushman.
Clarifying Mixture
Theory and the Macroscale Chemical Potential,
International Journal
of Engineering Science, 34(14), pp. 1611-1621, 1996.
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L. S. Bennethum and J. H. Cushman.
Multiphase, Multicomponent Theory
for Multiscale Swelling Systems with Interfaces. Part I: Balance Laws,
International Journal of Engineering Science, 34(2), pp. 125-145, 1996.
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L. S. Bennethum and J. H. Cushman.
Multiphase, Multicomponent Theory
for Multiscale Swelling Systems with Interfaces. Part II: Constitutive
Theory,
International Journal of Engineering Science, 34(2), pp. 147-169,
1996.
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M. A. Murad, L. S. Bennethum, and J. H. Cushman. A Multi-Scale Theory
of Swelling Porous Media: I. Application to One-Dimensional Consolidation,
Transport in Porous Media, 19, pp. 93-122, 1995.
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J. Douglas, Jr., J. Santos, D. Sheen, and L. S. Bennethum. Frequency
Domain Treatment of One-Dimensional Scalar Waves, Mathematical Models
and Methods in Applied Sciences, 3, pp. 171-194, 1993.