Publications

A. Bhaduri, Y. He, M. D. Shields, L. Graham-Brady, and M. Kirby. (2018). Stochastic collocation with adaptive mesh refinement for parametric uncertainty analysis. Journal of Computational Physics. 371: 732-750. DOI: 10.1016/j.jcp.2018.06.003

D. G. Giovanis and M. D. Shields (2018). Uncertainty quantification for complex systems with very high dimensional response using Grassmann manifold variations. Journal of Computational Physics. 364: 393-415. doi: 10.1016/j.jcp.2018.03.009.

K. Nahshon, N. Reynolds, and M. D. Shields. (2018). Efficient uncertainty propagation for high-fidelity simulations with large parameter spaces: Application to stiffened plate buckling. Journal of Verification, Validation, and Uncertainty Quantification. 011003. DOI: 10.1115/1.4039836.

M. D. Shields. (2018). Adaptive Monte Carlo analysis for strongly nonlinear stochastic systems. Reliability Engineering and System Safety. 175: 207-224. DOI: 10.1016/j.ress.2018.03.018

J. Zhang and M. D. Shields. (2018). The effect of prior probabilities on quantification and propagation of imprecise probabilities resulting from small datasets. Computer Methods in Applied Mechanics and Engineering, 334: 483-506. DOI: 10.1016/j.cma.2018.01.045.

J. Zhang and M. D. Shields. (2018). On the quantification and propagation of imprecise probabilities resulting from small datasets. Mechanical Systems and Signal Processing. 98: 465–483. DOI: 10.1016/j.ymssp.2017.04.042.

A. R. Hinkle, C. H. Rycroft, M. D. Shields, and M. L. Falk. (2017). Coarse-graining atomistic simulations of plastically deforming amorphous solids. Physical Review E. 95: 053001. DOI: 10.1103/PhysRevE.95.053001

Y. Liu and M. D. Shields. (2017). A direct simulation method and lower-bound estimation for a class of gamma random fields with applications in modelling material properties. Probabilistic Engineering Mechanics. 47: 16–25. DOI: 10.1016/j.probengmech.2017.01.001

M. D. Shields and H. Kim. (2017). Simulation of higher-order stochastic processes by spectral representation. Probabilistic Engineering Mechanics. 47: 1–15. DOI: 10.1016/j.probengmech. 2016.11.001.

Y. Yang, M. Zhu, M. D. Shields, and J. K. Guest. (2017). Topology optimization of continuum struc- tures considering filtered white noise stochastic excitation. Computer Methods in Applied Mechanics and Engineering. 324: 438-456. DOI: 10.1016/j.cma.2017.06.015.

M. Zhu, Y. Yang, J. K. Guest, and M. D. Shields. (2017). Topology optimization for linear stationary stochastic dynamics: Application to frame structures. Structural Safety. 67: 116–131. DOI: 10.1016/j.strusafe.2017.04.004

M. D. Shields. (2016). Refined Latinized Stratified Sampling: A robust sequential sample size extension methodology for high-dimensional Latin hypercube and stratified designs. International Journal for Uncertainty Quantification. 6(1): 79–97. DOI: 10.1615/Int.J.UncertaintyQuantification. 2016011333.

M. D. Shields, P. Bocchini, and G. Deodatis. (2016). Discussion of Feng et al. (2014). “Statistical reconstruction of two-phase random media” [Comput. Struct. 137 (2014) 78–92]”. Computers & Structures. 163: 83–85. DOI: 10.1016/j.compstruc.2015.10.007.

M. D. Shields and J. Zhang. (2016). The generalization of Latin hypercube sampling. Reliability Engineering & System Safety. 148: 96–108. DOI: 10.1016/j.ress.2015.12.002

V. S. Sundar and M. D. Shields. (2016). Surrogate-enhanced stochastic search algorithms to identify implicitly defined functions for reliability analysis. Structural Safety. 62: 1–11. DOI: 10.1016/j.strusafe.2016.05.001

H. Kim, and M.D. Shields. (2015). Modeling strongly non-Gaussian non-stationary stochastic processes using the Iterative Translation Approximation method and Karhunen-Loeve expansion. Computers and Structures. 161: 31-42. DOI: 10.1016/j.compstruc.2015.08.010

M.D. Shields, and V.S. Sundar. (2015). Targeted Random Sampling: A new approach for efficient Monte Carlo reliability estimation. International Journal of Reliability and Safety. 9: 174-190. DOI: 10.1504/IJRS.2015.072718

P.B. Woelke, M.D. Shields, J.W. Hutchinson. (2015). Cohesive zone modeling and calibration of mode I tearing of large ductile plates. Engineering Fracture Mechanics. 147: 293-305. DOI: 10.1016/j.engfracmech.2015.03.015

B.A. Benowitz, M.D. Shields, and G. Deodatis. (2015). Determining evolutionary spectra from non-stationary autocorrelation functions. Probabilistic Engineering Mechanics. 41: 73-88. DOI: 10.1016/j.probengmech.2015.06.004

M.D. Shields, K. Teferra, A. Hapij, R.P. Daddazio. (2015). Refined Stratified Sampling for efficient Monte Carlo based uncertainty quantification. Reliability Engineering and System Safety. 142: 310-325. DOI: 10.1016/j.ress.2015.05.023

P.B. Woelke, M. Rutner, M.D. Shields, C. Rans, and R. Alderliesten. (2015). Finite element modeling of fatigue in fiber metal laminates. AIAA Journal. 53 (8): 2228-2236. DOI: 10.2514/1.J053600

M.D. Shields. (2014). Simulation of spatially correlated non-stationary response spectrum compatible ground motion time histories. Journal of Engineering Mechanics. 04014161. DOI: 10.1061/(ASCE)EM.1943-7889.0000884

K. Teferra, M.D. Shields, A. Hapij, R.P. Daddazio. (2014). Mapping model validation metrics to Subject Matter Expert scores for model adequacy assessment. Reliability Engineering & System Safety. 132: 9-19. DOI: 10.1016/j.ress.2014.07.010

P.B. Woelke, M.D. Shields, N. Abboud, and J.W. Hutchinson. (2013). Simulations of ductile fracture in the idealized ship grounding scenario using phenomenological damage and cohesive zone models. Computational Materials Science. 80: 79-95. DOI: 10.1016/j.commatsci.2013.04.009

M.D. Shields and G. Deodatis. (2013). Estimation of evolutionary spectra for simulation of non-stationary and non-Gaussian stochastic processes. Computers & Structures. 126: 149-163. DOI: 10.1016/j.compstruc.2013.02.007

M.D. Shields and G. Deodatis. (2013). A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic vector process by a translation process with applications in wind velocity simulation. Probabilistic Engineering Mechanics. 31: 19-29. DOI: 10.1016/j.probengmech.2012.10.003

M.D. Shields, G. Deodatis, and P. Bocchini. (2011). A simple and efficient methodology to approximate a general non-Gaussian stochastic process by a translation process. Probabilistic Engineering Mechanics. 26: 511-519. DOI: 10.1016/j.probengmech.2011.04.003