Ralph Conover Smith

Bayesian inference informed by parameter subset selection for a minimal PBPK brain model

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 383(2292), 20240219.

Localization of Stationary and Moving Radiation Sources Using a Feedforward Neural Network with an Array of Sensors

Edwards, C., Smith, R. C., Mattingly, J., & Wilson, A. G. (2025, April 11). Nuclear Technology, Vol. 4.

Rapid parameter inference with uncertainty quantification for a radiological plume source identification problem

Edwards, C., & Smith, R. C. (2025, November 11). Environmental and Ecological Statistics.

Local Identifiability Analysis, Parameter Subset Selection and Verification for a Minimal Brain PBPK Model

Bulletin of Mathematical Biology, 86(2).

Quantifying collective motion patterns in mesenchymal cell populations using topological data analysis and agent-based modeling

Nguyen, K. C., Jameson, C. D., Baldwin, S. A., Nardini, J. T., Smith, R. C., Haugh, J. M., & Flores, K. B. (2024, February 17). Mathematical Biosciences, Vol. 370.

Controller Design for Distributed Parameter Systems [Bookshelf]

Smith, R. C. (2023, January 12). IEEE Control Systems, Vol. 43, pp. 98–100.

Effects of problem complexity reduction on parameter sensitivity and classification in charring ablator scenarios

Rostkowski, P., Meurisse, J. B. E., Thornton, J. M., Smith, R. C., & Panesi, M. (2022, March 29). Aerospace Science and Technology, Vol. 5.

A hierarchical Bayesian model for background variation in radiation source localization

Michaud, I. J., Schmidt, K., Smith, R. C., & Mattingly, J. (2021, March 30). Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment, Vol. 6.

Modeling and Parameter Subset Selection for Fibrin Polymerization Kinetics with Applications to Wound Healing

Bulletin of Mathematical Biology, 83(5).

SURROGATE BASED MUTUAL INFORMATION APPROXIMATION AND OPTIMIZATION FOR URBAN SOURCE LOCALIZATION

Hollis, A. N., Smith, R. C., & Wilson, A. G. (2021, January 1). International Journal for Uncertainty Quantification, Vol. 11, pp. 39–55.

The maximum entropy method for data fusion and uncertainty quantification in multifunctional materials and structures

Gao, W., Miles, P. R., Smith, R. C., & Oates, W. S. (2021, October 8). Journal of Intelligent Material Systems and Structures, Vol. 10, p. 1045389X2110482.

Uncertainty Quantification and Sensitivity Analysis of Partial Charges on Macroscopic Solvent Properties in Molecular Dynamics Simulations with a Machine Learning Model

Peerless, J. S., Kwansa, A. L., Hawkins, B. S., Smith, R. C., & Yingling, Y. G. (2021, March 17). Journal of Chemical Information and Modeling, Vol. 61, pp. 1745–1761.

Bayesian inference and uncertainty propagation using efficient fractional-order viscoelastic models for dielectric elastomers

Miles, P. R., Pash, G. T., Smith, R. C., & Oates, W. S. (2020, November 8). Journal of Intelligent Material Systems and Structures, Vol. 32, pp. 486–496.

Radiation Source Localization Using Surrogate Models Constructed from 3-D Monte Carlo Transport Physics Simulations

Miles, P. R., Cook, J. A., Angers, Z. V., Swenson, C. J., Kiedrowski, B. C., Mattingly, J., & Smith, R. C. (2020, May 29). Nuclear Technology, Vol. 207, pp. 37–53.

A Mutual Information–Based Experimental Design Framework to Use High-Fidelity Nuclear Reactor Codes to Calibrate Low-Fidelity Codes

Gordon, N., Gilkey, L., Smith, R. C., Michaud, I., Williams, B., Mousseau, V., … Jones, C. (2019, April 19). Nuclear Technology, Vol. 205, pp. 1685–1696.

Active subspace analysis and uncertainty quantification for a polydomain ferroelectric phase-field model

Leon, L. S., Miles, P. R., Smith, R. C., & Oates, W. S. (2019, July 3). Journal of Intelligent Material Systems and Structures, Vol. 30, pp. 2027–2051.

Application and Evaluation of Surrogate Models for Radiation Source Search

Cook, J. A., Smith, R. C., Hite, J. M., Stefanescu, R., & Mattingly, J. (2019, December 12). Algorithms, Vol. 12.

Derivative-Based Global Sensitivity Analysis for Models with High-Dimensional Inputs and Functional Outputs

Cleaves, H. L., Alexanderian, A., Guy, H., Smith, R. C., & Yu, M. (2019, January 1). SIAM Journal on Scientific Computing, Vol. 41, pp. A3524–A3551.

Global sensitivity analysis of fractional-order viscoelasticity models

Miles, P. R., Pash, G., Smith, R. C., & Oates, W. S. (2019, March 29). BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS XIII, Vol. 10968.

Gradient-Free Construction of Active Subspaces for Dimension Reduction in Complex Models with Applications to Neutronics

Coleman, K. D., Lewis, A., Smith, R. C., Williams, B., Morris, M., & Khuwaileh, B. (2019, January 1). SIAM/ASA Journal on Uncertainty Quantification, Vol. 7, pp. 117–142.

Model Input and Output Dimension Reduction Using Karhunen–Loève Expansions With Application to Biotransport

Alexanderian, A., Reese, W., Smith, R. C., & Yu, M. (2019, July 25). ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part B Mechanical Engineering, Vol. 5.

Parameter-dependent surrogate model development for PZT bimorph actuators employed for micro-air vehicles

Bravo, N., & Smith, R. C. (2019, March 29). BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS XIII, Vol. 10968.

Sequential optimal positioning of mobile sensors using mutual information

Statistical Analysis and Data Mining: The ASA Data Science Journal, 12(6), 465–478.

Surrogate-Based Robust Design for a Non-Smooth Radiation Source Detection Problem

Ştefănescu, R., Hite, J., Cook, J., Smith, R. C., & Mattingly, J. (2019, May 28). Algorithms, Vol. 12.

The use of Bayesian inference in the characterization of materials and thin films

Jones, J. L., Broughton, R., Iamsasri, T., Fancher, C. M., Wilson, A. G., Reich, B., & Smith, R. C. (2019, July 20). Acta Crystallographica Section A Foundations and Advances, Vol. 75, pp. A211–A211.

Uncertainty quantification of two-phase flow and boiling heat transfer simulations through a data-driven modular Bayesian approach

Liu, Y., Dinh, N. T., Smith, R. C., & Sun, X. (2019, May 2). International Journal of Heat and Mass Transfer, Vol. 138, pp. 1096–1116.

Variance-based sensitivity analysis for time-dependent processes

Alexanderian, A., Gremaud, P. A., & Smith, R. C. (2019, November 4). Reliability Engineering & System Safety, Vol. 196.

A Probabilistic Subspace Bound with Application to Active Subspaces

Holodnak, J. T., Ipsen, I. C. F., & Smith, R. C. (2018, January 1). SIAM Journal on Matrix Analysis and Applications, Vol. 39, pp. 1208–1220.

Active subspace uncertainty quantification for a polydomain ferroelectric phase-field model

Leon, L. S., Smith, R. C., Oates, W. S., & Miles, P. (2018, March 22). BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES XII, Vol. 10596.

Analysis of a multi-axial quantum-informed ferroelectric continuum model: Part 2—sensitivity analysis

Journal of Intelligent Material Systems and Structures, 29(13), 2840–2860.

Automated Defect Detection in Spent Nuclear Fuel Using Combined Cerenkov Radiation and Gamma Emission Tomography Data

Nuclear Technology, 204(3), 343–353.

Bayesian Approaches to Uncertainty Quantification and Structure Refinement from X-Ray Diffraction

Forecasting and Uncertainty Quantification Using a Hybrid of Mechanistic and Non-mechanistic Models for an Age-Structured Population Model

Bulletin of Mathematical Biology, 80(6), 1578–1595.

Parameter subset selection techniques for problems in mathematical biology

Olsen, C. H., Ottesen, J. T., Smith, R. C., & Olufsen, M. S. (2018, October 30). Biological Cybernetics, Vol. 113, pp. 121–138.

Uncertainty quantification for PZT bimorph actuators

Bravo, N., Smith, R. C., & Crews, J. (2018, March 22). BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES XII, Vol. 10596.

Uncertainty-enabled design of electromagnetic reflectors with integrated shape control

Zhang, L., Smith, R. C., Massad, J., Chung, J., Haque, S., Kindrat, L., … Kim, D. (2018, March 22). BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES XII, Vol. 10596.

A Bayesian approach to modeling diffraction profiles and application to ferroelectric materials

Journal of Applied Crystallography, 50(1), 211–220.

A Linear Regression Framework for the Verification of Bayesian Model Calibration Algorithms

Journal of Verification, Validation and Uncertainty Quantification, 2(2), 021006.

A Maximum Entropy Approach for Uncertainty Quantification and Analysis of Multifunctional Materials

Gao, W., Oates, W. S., & Smith, R. C. (2017, September 18). Proceedings of the Asme Conference on Smart Materials Adaptive.

A Multi-Axial Electromechanically-Coupled Homogenized Energy Model for Ferroelectric Materials

Oates, W. S., & Smith, R. C. (2017, September 18). Proceedings of the Asme Conference on Smart Materials Adaptive.

Bayesian model calibration and uncertainty quantification for an HIV model using adaptive Metropolis algorithms

Inverse Problems in Science and Engineering, 26(2), 233–256.

CPDE special section

Smith, R. C., & Zwart, H. (2017, January 1). Annual Reviews in Control, Vol. 44, pp. 183–183.

Data-Driven Model Development and Feedback Control Design for PZT Bimorph Actuators

Bravo, N., Smith, R. C., & Crews, J. (2017, September 18). Proceedings of the Asme Conference on Smart Materials Adaptive.

Global sensitivity analysis for a quantum informed ferroelectric phase field model

Leon, L. S., Smith, R. C., Oates, W. S., & Miles, P. (2017, April 11). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 10165.

Identifiability and Active Subspace Analysis for a Polydomain Ferroelectric Phase Field Model

Leon, L. S., Smith, R. C., Oates, W. S., & Miles, P. (2017, September 18). Proceedings of the Asme Conference on Smart Materials Adaptive.

Surrogate model development and feedforward control implementation for PZT bimorph actuators employed for robobee

Bravo, N., Smith, R. C., & Crews, J. (2017, April 11). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 10165.

Uncertainty Analysis of Ferroelectric Polydomain Structures

Miles, P., Oates, W., Leon, L., & Smith, R. (2017, September 18). Proceedings of the Asme Conference on Smart Materials Adaptive.

Uncertainty analysis of continuum phase field modeling in 180° degree domain wall structures

Miles, P., Leon, L., Smith, R., & Oates, W. (2017, April 11). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 10165.

Validation and uncertainty quantification of detector response functions for a 1″×2″ NaI collimated detector intended for inverse radioisotope source mapping applications

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 410, 1–15.

A PARAMETER SUBSET SELECTION ALGORITHM FOR MIXED-EFFECTS MODELS

Schmidt, K. L., & Smith, R. C. (2016, January 1). International Journal for Uncertainty Quantification, Vol. 6, pp. 405–416.

Adaptive and active materials: selected papers from the ASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS 15) (Colorado Springs, CO, USA, 21–23 September 2015)

Smith, R. C., Anderson, I., Hartl, D., Atulasimha, J., Sarles, S. A., Wissa, A., & Shafer, M. (2016, September 7). Smart Materials and Structures, Vol. 25.

An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes

Lewis, A., Smith, R., Williams, B., & Figueroa, V. (2016, August 6). Journal of Computational Physics, Vol. 324, pp. 24–43.

Bayesian metropolis methods applied to sensor networks for radiation source localization

Hite, J. M., Mattingly, J. K., Schmidt, K. L., Stefanescu, R., & Smith, R. (2016, September 1). 2016 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), pp. 389–393.

Frequentist and Bayesian Lasso Techniques for Parameter Selection in Nonlinearly Parameterized Models**This research was supported in part by the Department of Energy National Nuclear Security Administration (NNSA) through the Consortium for Nonproliferation Enabling Capabilities (CNEC) award number DE-NA0002576.

Coleman, K. D., Schmidt, K., & Smith, R. C. (2016, January 1). IFAC-PapersOnLine, Vol. 49, pp. 416–421.

Gradient free active subspace construction using Morris screening elementary effects

Lewis, A., Smith, R., & Williams, B. (2016, August 11). Computers & Mathematics with Applications, Vol. 72, pp. 1603–1615.

Hybrid optimization and Bayesian inference techniques for a non-smooth radiation detection problem

International Journal for Numerical Methods in Engineering, 111(10), 955–982.

Parameter Estimation for Predictive Simulation of Oscillatory Systems with Model Discrepancy**This research was supported in part by the Air Force Office of Scientific Research grant AFOSR FA9550-11-1-0152. It was also supported by the Consortium for Advanced Simulation of Light Water Reactors (http://www.casl.gov), an Energy Innovation Hub, (http://www.energy.gov/hubs) for Modeling and Simulation of Nuclear Reactors under U.S. Department of Energy Contract No. DE-AC05-00OR22725.

McMahan, J. A., & Smith, R. C. (2016, January 1). IFAC-PapersOnLine, Vol. 49, pp. 428–433.

Parameter Selection and Verification Techniques Based on Global Sensitivity Analysis Illustrated for an HIV Model

Wentworth, M. T., Smith, R. C., & Banks, H. T. (2016, January 1). SIAM/ASA Journal on Uncertainty Quantification, Vol. 4, pp. 266–297.

Uncertainty analysis of continuum scale ferroelectric energy landscapes using density functional theory

Oates, W. S., Miles, P., Leon, L., & Smith, R. (2016, April 18). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 9800.

Use of Bayesian Inference in Crystallographic Structure Refinement via Full Diffraction Profile Analysis

Scientific Reports, 6(1), 31625.

Bayesian uncertainty analysis of finite deformation viscoelasticity

Miles, P., Hays, M., Smith, R., & Oates, W. (2015, July 13). Mechanics of Materials, Vol. 91, pp. 35–49.

High-Dimensional Model Representations for the Neutron Transport Equation

Hu, Z., Smith, R. C., Willert, J., & Kelley, C. T. (2014, July 1). Nuclear Science and Engineering, Vol. 177, pp. 350–360.

Model Calibration for Beam Models in the Presence of Model Discrepancy

Lewis, A. L., McMahan, J. A., & Smith, R. C. (2014, September 8). Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, 2014, Vol 1.

Special Issue: 2012 ASME Conference on Smart Materials, Adaptive Structures, and Intelligent Systems

Smith, R., Wereley, N. M., Myers, O., Dragoni, E., Ruggiero, E., & Loh, K. J. (2014, May 21). Journal of Intelligent Material Systems and Structures, Vol. 25, pp. 1039–1040.

Uncertainty Analysis of a Finite Deformation Viscoelastic Model

Miles, P., Hays, M., Smith, R., & Oates, W. S. (2014, September 8). Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, 2014, Vol 2.

Uncertainty Quantification: Theory, Implementation and Applications

Philadelphia: SIAM.

A modeling and uncertainty quantification framework for a flexible structure with macrofiber composite actuators operating in hysteretic regimes

Hu, Z., Smith, R. C., Burch, N., Hays, M., & Oates, W. S. (2013, June 7). Journal of Intelligent Material Systems and Structures, Vol. 25, pp. 204–228.

CONFIDENCE INTERVAL ESTIMATION FOR AN EMPIRICAL MODEL QUANTIFYING THE EFFECT OF SOIL MOISTURE AND PLANT DEVELOPMENT ON SOYBEAN (GLYCINE MAX (L.) MERR.) LEAF CONDUCTANCE

International Journal of Pure and Apllied Mathematics, 83(3).

Comparison of Frequentist and Bayesian Confidence Analysis Methods on a Viscoelastic Stenosis Model

SIAM/ASA Journal on Uncertainty Quantification, 1(1), 348–369.

Construction of Bayesian Prediction Intervals for Smart Systems

Wentworth, M. T., & Smith, R. C. (2013, September 16). Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems - 2013, Vol 1.

Homogenized energy model and markov chain Monte Carlo simulations for macro fiber composites operating in broadband regimes

Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, vol 1, 321–327.

Inversion algorithms for the homogenized energy model for hysteresis in ferroelectric and shape memory alloy compounds

McMahan, J. A., Crews, J. H., & Smith, R. C. (2013, January 16). Journal of Intelligent Material Systems and Structures, Vol. 24, pp. 1796–1821.

Quantification of parameter and model uncertainty for shape memory alloy bending actuators

Crews, J. H., & Smith, R. C. (2013, July 3). Journal of Intelligent Material Systems and Structures, Vol. 25, pp. 229–245.

Quantification of parameter uncertainty for robust control of shape memory alloy bending actuators

Crews, J. H., McMahan, J. A., Smith, R. C., & Hannen, J. C. (2013, October 17). Smart Materials and Structures, Vol. 22.

Sliding mode control for inverse compensated hysteretic smart systems

Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, vol 1, 335–344.

Uncertainty Quantification for Robust Control Design of Smart Material Systems

McMahan, J. A., & Smith, R. C. (2013, September 16). Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems - 2013, Vol 1.

Data-driven techniques to estimate parameters in the homogenized energy model for shape memory alloys

Crews, J. H., Smith, R. C., Pender, K. M., Hannen, J. C., & Buckner, G. D. (2012, July 24). Journal of Intelligent Material Systems and Structures, Vol. 23, pp. 1897–1920.

Development of Robust Control Algorithms for Shape Memory Alloy Bending Actuators

Crews, J. H., Smith, R. C., & Hannen, J. C. (2012, September 19). Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation and Control of Adaptive Systems; Structural Health Monitoring, pp. 391–400.

Homogenized energy model for characterizing polarization and strains in hysteretic ferroelectric materials: Material properties and uniaxial model development

Smith, R. C., & Hu, Z. (2012, August 14). Journal of Intelligent Material Systems and Structures, Vol. 23, pp. 1833–1867.

Modeling and Bayesian parameter estimation for shape memory alloy bending actuators

Crews, J. H., & Smith, R. C. (2012, March 22). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 8342.

Quantifying Plant Age and Available Water Effects on Soybean Leaf Conductance

Agronomy Journal, 105(1), 28–36.

Sliding mode control design for hysteretic ferroelectric materials

McMahan, J. A., & Smith, R. C. (2012, March 22). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 8342.

The Homogenized Energy Model for Characterizing Magnetization and Strains in Ferromagnetic Materials

Blaircum, L. V., & Smith, R. C. (2012, September 19). Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation and Control of Adaptive Systems; Structural Health Monitoring, pp. 489–496.

The homogenized energy model for characterizing polarization and strains in hysteretic ferroelectric materials: Implementation algorithms and data-driven parameter estimation techniques

Hu, Z., Smith, R. C., & Ernstberger, J. (2012, August 3). Journal of Intelligent Material Systems and Structures, Vol. 23, pp. 1869–1894.

A Strain Model for Piezoelectric Materials Operating in Highly Hysteretic Regimes

Hu, Z., & Smith, R. C. (2011, January 1). Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS 2011), Vol 2, pp. 241–249.

Adaptive control design for hysteretic smart systems

McMahan, J. A., & Smith, R. C. (2011, March 24). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 7978.

Data-driven techniques to estimate parameters in a rate-dependent ferromagnetic hysteresis model

Hu, Z., Smith, R. C., & Ernstberger, J. M. (2011, July 10). Physica B Condensed Matter, Vol. 407, pp. 1394–1398.

Density Function Optimization for the Homogenized Energy Model of Shape Memory Alloys

Crews, J. H., & Smith, R. C. (2011, January 1). Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS 2011), Vol 1, pp. 371–379.

Statistical parameter estimation for macro fiber composite actuators using the homogenized energy model

Hu, Z., Smith, R. C., Stuebner, M., Hays, M., & Oates, W. S. (2011, March 24). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 7978.

A Non-linear Optimal Control Design using Narrowband Perturbation Feedback for Magnetostrictive Actuators

Oates, W. S., Zrostlik, R., Eichhorn, S., & Smith, R. (2010, November 1). Journal of Intelligent Material Systems and Structures, Vol. 21, pp. 1681–1693.

Design of RF MEMS switches without pull-in instability

Proctor, W. C., Richards, G. P., Shen, C., Skorczewski, T., Wang, M., Zhang, J., … Smith, R. (2010, March 9). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 7644.

Inverse model construction for control implementation of macro fiber composite actuators operating in hysteretic regimes

Stuebner, M., & Smith, R. C. (2010, March 4). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 7644.

Proper orthogonal decomposition with updates for efficient control design in smart material systems

May, S. F., & Smith, R. C. (2010, March 9). Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE, Vol. 7644.

Optimal Tracking Using Magnetostrictive Actuators Operating in Nonlinear and Hysteretic Regimes

Oates, W. S., & Smith, R. C. (2009, March 19). Journal of Dynamic Systems Measurement and Control, Vol. 131.

Quantification of hysteresis and nonlinear effects on the frequency response of ferroelectric and ferromagnetic materials

Stuebner, M., Atulasimha, J., & Smith, R. C. (2009, September 10). Smart Materials and Structures, Vol. 18.

Adaptive techniques for the MRAC, adaptive parameter identification, and on‐line fault monitoring and accommodation for a class of positive real infinite dimensional systems

Demetriou, M. A., Ito, K., & Smith, R. C. (2008, July 22). International Journal of Adaptive Control and Signal Processing, Vol. 23, pp. 193–215.

High Speed Model Implementation and Inversion Techniques for Ferroelectric and Ferromagnetic Transducers

Braun, T. R., & Smith, R. C. (2008, April 21). Journal of Intelligent Material Systems and Structures, Vol. 19, pp. 1295–1310.

A Stress-dependent Hysteresis Model for Ferroelectric Materials

Ball, B. L., Smith, R. C., Kim, S.-J., & Seelecke, S. (2007, January 1). Journal of Intelligent Material Systems and Structures, Vol. 18, pp. 69–88.

A two-scale model for an array of AFM’s cantilever in the static case

Lenczner, M., & Smith, R. C. (2007, January 24). Mathematical and Computer Modelling, Vol. 46, pp. 776–805.