[total cites = 1200]

[275] B.J. Spencer, P.W. Voorhees and S.H. Davis, "Morphological Instability in Epitaxially-Strained Dislocation-Free Solid Films," Physical Review Letters, vol 67, pp 3696-3699 (1991).

[189] B.J. Spencer, P.W. Voorhees and S.H. Davis, "Morphological Instability in Epitaxially-Strained Dislocation-Free Solid Films: Linear Stability Theory," Journal of Applied Physics, vol 73, pp 4955-4970 (1993).

[102] B. J. Spencer and J. Tersoff, "Equilibrium shapes and properties of epitaxially strained islands "  Physical Review Letters, vol 79, pp 4858-4861 (1997).

[81] B.J. Spencer and D.I. Meiron, "Nonlinear Evolution of the Stress-Driven Morphological Instability in a Two-Dimensional Semi-Infinite Solid," Acta Metallurgica et Materialia, vol 42, pp 3629-3641 (1994).

[76] J. Tersoff, B.J. Spencer, A. Rastelli and H. von Kanel, Barrierless formation and faceting of SiGe islands on Si(001), Physical Review Letters, vol 89, article 196104 (2002).

[69] B.J. Spencer, P.W. Voorhees and J. Tersoff, "Morphological instability theory for strained alloy film growth: the effect of compositional stresses and species-dependent surface mobilities on ripple formation during epitaxial film deposition," Physical Review B, vol 64, article 235318 (2001).

[65] B.J. Spencer, S.H. Davis and P.W. Voorhees, "Morphological Instability in Epitaxially-Strained Dislocation-Free Solid Films: Nonlinear Evolution," Physical Review B, vol 47, pp 9760-9777 (1993).

[49] B.J. Spencer, P.W. Voorhees and J. Tersoff,  "Enhanced instability of strained alloy films due to compositional stresses," Physical Review Letters, vol 84, pp 2449-2452 (2000).

[43] B. J. Spencer, "An asymptotic derivation of the glued wetting layer model and contact angle condition for Stranski-Krastanow islands,"  Physical Review B, vol  59, pp 2011-2017 (1999).

[34] B.J. Spencer and J. Tersoff, "Stresses and first-order dislocation energetics in equilibrium Stranski-Krastanow islands," Physical Review B, vol 63, article 205424 (2001).

[25] B.J. Spencer, P.W. Voorhees and J. Tersoff, "Stabilization of strained alloy film growth by a difference in atomic mobilities" Applied Physics Letters, vol 76, pp 3022-3024 (2000).

[22] A. Rastelli, H. von Kanel, B.J. Spencer and J. Tersoff, Prepyramid-to-pyramid transition of SiGe islands on Si(001), Physical Review B, vol 68, article 115301 (2003).

[20] B.J. Spencer and J. Tersoff, "Dislocation Energetics in Epitaxial Strained Islands," Applied Physics Letters, vol 77, pp 2533-2535 (2000).

[19] B.J. Spencer, P.W. Voorhees, S.H. Davis and G.B. McFadden, "The Effect of Compositionally-Generated Elastic Stresses on Morphological Instability During Directional Solidification," Acta Metallurgica et Materialia, vol 40, pp 1599-1616 (1992).

[17] B. J. Spencer and M. Blanariu, Shape and composition profile of a prepyramid quantum dot, Physical Review Letters, vol 95, article 206101 (2005).

[16] L.L Shanahan and B.J. Spencer, "A codimension-two free boundary problem for the equilibrium shapes of a small three-dimensional island in an epitaxially-strained solid film,"  Interfaces and Free Boundaries, vol 4, pp 1-25, (2002).

[15] C. D. Rudin and B. J. Spencer, "Equilibrium ridge arrays in strained solid films,"  Journal of Applied Physics, vol 86, pp 5530-5536 (1999).

[14] B.J. Spencer, Asymptotic solutions for the equilibrium crystal shape with small corner energy regularization, Physical Review E, vol 69, article 011603 (2004).

[14] W.T. Tekalign and B.J. Spencer, Evolution equation for a thin epitaxial film on a deformable substrate,  Journal of Applied Physics, vol 96, pp 5505-5512 (2004).

[12] B. J. Spencer and J. Tersoff, "Equilibrium shapes of small strained islands," in Evolution of Epitaxial Structure and Morphology, Editors: A. Zangwill, D. Jesson, D. Chambliss and R. Clarke, Materials Research Society Symposium Proceedings, vol 399, pp 283-288 (1996) .

[9] B. J. Spencer and H. E. Huppert, "Steady-state solutions for an array of strongly-interacting needle crystals in the limit of small undercooling," Journal of Crystal Growth, vol 148, pp 305-323 (1995) .

[9] B. J. Spencer and H. E. Huppert, "On the solidification of dendritic arrays: selection of the tip characteristics of slender needle crystals by array interactions," Acta Materialia, vol 46, pp 2645-2662 (1998).

[9] B. J. Spencer and H.E. Huppert, "On the solidification of dendritic arrays: an asymptotic theory for the directional solidification of slender needle crystals,"  Acta Materialia, vol 45, pp 1535-1549 (1997).

[5] B. J. Spencer and H. E. Huppert, "The relationship between dendrite tip characteristics and dendrite spacings in alloy directional solidification," Journal of Crystal Growth, vol 200, pp 287-296 (1999).

[4] B. J. Spencer and J. Tersoff, "Equilibrium shapes of islands in epitaxially-strained solid films," in Mathematics of Multiscale Materials, edited by K.M. Golden, G.R. Grimmett, R.D. James, G.W. Milton and P.N. Sen (Springer-Verlag, NY, 1998) pp 255-269.

[3] G. Ierley, B. Spencer and R. Worthing, "Spectral Methods in Time for a Class of Parabolic Partial Differential Equations," Journal of Computational Physics, vol 102, pp 88-97 (1992).

[2] W. T. Tekalign and B. J. Spencer, Thin film evolution equation for a strained solid film on a deformable substrate: Numerical steady states, Journal of Applied Physics, vol 102, art 073503 (2007).

[1] M. Blanariu and B.J. Spencer, Weakly nonlinear bifurcation analysis of pattern formation in strained alloy film growth, IMA Journal of Applied Mathematics, vol 72, pp 9-35 (2006).

[1] X. Han and B.J. Spencer, A nonlinear model for surface segregation and solute trapping during planar film growth, Journal of Applied Physics, vol 101, art 084302 (2007).

[0] M. Blanariu and B. J. Spencer, Asymptotic Analysis of the Shape and Composition of Alloy Islands in Epitaxial Solid Films, Mathematical Modeling of Natural Phenomena, vol 3, no 5, pp 30-49 (2008).

[0] A. Mastroberardino and B.J. Spencer, Three-dimensional equilibrium crystal shapes with corner energy regularization, submitted to IMA Journal of Applied Mathematics.

[0] X. Han and B.J. Spencer, Composition evolution of quantum dots during the growth of solid films, submitted to IMA Journal of Applied Mathematics.

[0] J. Tersoff, B.J. Spencer, A. Rastelli and H. Von Kanel, Tersoff et al Reply: Comparison of Continuum and Step Models for SiGe Islands, Physical Review Letters, vol 91, article 099602 (2003).

[0] N.J. Tumavitch, D.A. Cadenhead and B.J. Spencer,  "The thermodynamics of meniscus formation on Wilhelmy plate immersion at theair/water interface and the mechanics of initial film deposition", in Proceedings of the Space Technology and Applications International Forum, Ed. M. El-Genk, American Institute of Physics publication #504 (Springer Verlag, 2000)  pp 854-860.