JOURNAL ARTICLES
A.-V. Phan, L. J. Gray, and T. Kaplan,
"On some benchmark results for the interaction of a crack with a
circular inclusion,"
ASME Journal of Applied Mechanics
(in press).
M. N. Moore, L. J. Gray,and T. Kaplan,
"Evaluation of Supersingular Integrals: Second Order Boundary
Derivatives,"
International Journal for Numerical Methods in Engineering
69, 1930-1947 (2007).
R. C. Williams, A.-V. Phan, H. V. Tippur, T. Kaplan, and L. J. Gray,
"SGBEM analysis of crack-particle interactions due to elastic constant
mismatch,"
Engineering Fracture Mechanics
74, 314-331 (2007).
R. Kitey, A.-V. Phan, H. V. Tippur, and T. Kaplan,
"Modeling of crack growth through particulate clusters in brittle
matrix by SGBEM,"
International Journal of Fracture
141, pp. 11-25 (2006).
M. Karimi, T. Roarty, and T. Kaplan,
"Molecular dynamics simulations of crack propagation in Ni with defects,"
Modelling and Simulation in Materials Science and Engineering
14, 1409-1420 (2006).
A.-V. Phan, L. J. Gray, and T. Kaplan,
"Residue approach for evaluating the 3D anisotropic elastic
Green's function: multiple roots,"
Engineering Analysis with Boundary Elements
29, pp. 570-576 (2005).
L .J. Gray, A.-V. Phan, and T. Kaplan, "Boundary Integral
Evaluation of Surface Derivatives,"
SIAM J. Scientific Computing
26, pp. 294-312 (2004).
W. Barvosa-Carter, M. J. Aziz, A.-V. Phan, T. Kaplan, and L. J. Gray,
"Interfacial roughening during solid phase epitaxy:
Interaction of dopant, stress, and anisotropy effects,"
Journal of Applied Physics
96, p. 5462 (2004).
A.-V. Phan, L. J. Gray, and T. Kaplan,
"On the residue calculus evaluation of the 3-D anisotropic elastic
Green's function,"
Communications in Numerical Methods in Engineering
20, pp. 335-341 (2004).
Y.-S. Chan, L. J. Gray, T. Kaplan, and G. H. Paulino, "Green's Function
for a Two-Dimensional Exponentially-Graded Elastic Medium,"
Proc. Royal Soc. A 460, pp. 1689-1706 (2004).
L. J. Gray, J. M. Glaser, and T. Kaplan, "Direct Evaluation
of Hypersingular Galerkin Surface Integrals,"
SIAM J. Scientific Computing 25, pages 1534-1556 (2004).
A.-V. Phan, J. A. L. Napier, L. J. Gray, and T. Kaplan,
"Stress intensity factor analysis of friction sliding at discontinuity
interfaces and junctions,"
Computational Mechanics 32, pp. 392-400 (2003).
L. J. Gray, T. Kaplan, J. D. Richardson, and G. H. Paulino,
"Green's Function and Boundary Integral Analysis for Exponentially
Graded Materials: Heat Conduction,"
ASME Journal of Applied Mechanics 70, pp. 543-549 (2003).
A.-V. Phan, J. A. L. Napier, L. J. Gray, and T. Kaplan,
"Symmetric-Galerkin BEM of Fracture with Frictional Contact,"
Int. J. Num. Meth. Engng. 57, pp. 835-851 (2003).
L. J. Gray, A.-V. Phan, G. H. Paulino, and T. Kaplan,
"Improved Quarter-Point Crack Tip Element,"
Engineering Fracture Mechanics 70, pp. 269-283 (2003).
A.-V. Phan, L. J. Gray, T. Kaplan, and T.-N. Phan,
"The Boundary Contour Method for Two-Dimensional Stokes Flow
and Incompressible Elastic Materials,"
Computational Mechanics 28, pp. 425-433 (2002).
A.-V. Phan, T. Kaplan, L. J. Gray, D. Adalsteinsson, J. A. Sethian,
W. Barvosa-Carter, and M. J. Aziz,
"Modeling a Growth Instability in a Stressed Solid,"
Modelling and Simulation in Materials Science and Engineering
9, pp. 309-325 (2001).
J. D. Richardson, L. J. Gray, T. Kaplan, and J. A. L. Napier,
"Regularized Spectral Multipole BEM for Plane Elasticity,"
Engineering Analysis with Boundary Elements
25, pp. 297-311 (2001).
L. J. Gray and T. Kaplan, "3D Galerkin Integrations without Stokes Theorem,"
Engineering Analysis with Boundary Elements
25, pp. 289-295 (2001).
T. Kaplan, F. Liu, M. Mostoller, M. F. Chisholm, and V. Milman,
"First-principles study of impurity segregation in edge dislocations in Si,"
Phys. Rev. B 61, 1674 (2000)
M. F. Chisholm, R. Buczko, M. Mostoller, T. Kaplan, A. Maiti,
S. T. Patelides, S. J. Pennycook, "Atomic structure and properties
of extended defects in silicon," Solid State Phenomena
67-8: 3-13 (1999)
W. Barvosa-Carter, M. J.
Aziz, L. J. Gray, and T. Kaplan, "A kinetically driven interfacial
instability for nonhydrostatically-stressed solids," Phys. Rev.
Lett. 81, 1445 (1998)
T. Kaplan, M. Mostoller, M. F. Chisholm, "A structural
transformation in 90 partial dislocations in Si due to Ga impurities,"
Phys. Rev. B 58, 12865 (1998)
F.
L. Somer, G. S. Canright, and T. Kaplan, "Defect-unbinding transitions
and inherent structures in two dimensions," Phys. Rev. E
58, 5748 (1998)
M. Karimi, H. Yates,
J. R. Ray, T. Kaplan, and M. Mostoller, "Elastic Constants of Silicon
Using Monte-Carlo Simulations," Phys. Rev. B 58, 6019
(1998)
F. L. Somer, G. S. Canright, T. Kaplan, Kun
Chen, and M. Mostoller, "Inherent structures and two-stage melting in
two dimensions," Phys. Rev. Lett. 79, 3431 (1997)
C. Ashman, S. N. Khanna, F. Liu, P. Jena, T.
Kaplan, and M. Mostoller, "(BAl12)Cs : An Ionic Cluster Solid," Phys
Rev B 55, 15868 (1997)
A.
Maiti, T. Kaplan, M. Mostoller, M. F. Chisholm, S. J. Pennycooke, and
S. T. Pantelides, "Ordering of As impurities in a Si dislocation core"
Applied Physics Letters 70, 336 (1997)
M. Karimi, G. Stapay, T. Kaplan, and M.
Mostoller, "Temperature dependence of the elastic constants of Ni:
Reliability of EAM in predicting thermal properties," Modelling and
Simulations in Material Science and Engineering 5, 337-346
(1997).
L. J. Gray, D. Ghosh, and T. Kaplan,
"Evaluation of the anisotropic green's function in three dimensional
elasticity," Computational Mechanics 17, 255-261
(1996).
Feng Liu, Mark Mostoller, Theodore Kaplan,
S. N. Khanna, and P. Jena, "Evidence for a New Class of Solids: First
Principles Study of K(Al13)," Chem Phys Lett. 248,
213-217 (1996)
Kun Chen, Theodore Kaplan, and
Mark Mostoller, "Melting in Two-Dimensional Lennard-Jones Systems:
Observation of a Metastable Hexatic Phase," Phys Rev Lett.
74, 4019 (1995)
K. M. Chen, D. E. Jesson,
S. J. Pennycook, M. Mostoller, T. Kaplan, T. Thundat, and R. J. Warmac,
" Step Instabilities: A New Kinetic Route to 3D Growth," Phys Rev
Lett. 75, 1582 (1995)
L. J. Gray, M.
F. Chisholm, and T. Kaplan, "Surface Strain in Epitaxial Systems,"
Applied Physics Letters 66, 1924 (1995)
F. Liu, M. Mostoller, V. Milman, M. F.
Chisholm, and T. Kaplan, "Electronic and Elastic Properties of Edge
Dislocations in Si," Phys. Rev. B 51, 17192
(1995)
M. Mostoller, M. F. Chisholm, and T.
Kaplan, "Edge Dislocation Intersections in Diamond Cubic Crystals,"
Phys. Rev. B 50, 12183 (1994).
M. Mostoller, M. F. Chisholm, and T. Kaplan, "A New Extended
Point Defect Structure in Diamond Cubic Crystals," Phys. Rev. Lett.
72, 1494 (1994)
T. Kaplan, M. J. Aziz, and L.J. Gray,
" Restricted Applicability of Onsager's Reciprocity
Relations to Models of Interface Motion," J. Chem Phys.
99, 8031 (1993).
T. Kaplan, M. Rasolt, M. Karimi, and M. Mostoller,
" Numerical Simulation of He+ and Li+
Collisions with C60," J. Phys. Chem. 97, 6124
(1993).
M. Karimi, T. Kaplan, M. Mostoller, and D.
E. Jesson, " Ge Segregation at Si-Ge (001) Stepped Surfaces," Phys.
Rev. B 47, 9931 (1993)
S. H. Liu, T. Kaplan, and L. J. Gray," Geometry and Dynamics of Deterministic Sand Piles" Physical Review A 42, 3207-3212 (1990).
Theodore Kaplan , M. J. Aziz, and L. J. Gray " Application of Onsager's Reciprocity Relations to Interface Motion During Phase Transformations," Journal of Chemical Physics 90, 1133 (1989).
M. J. Aziz and Theodore Kaplan" Continuous Growth Model for Interface Motion During Alloy Solidification" Acta Metall. 36, 2335 (1988).
Theodore Kaplan , L. J. Gray, and S. H. Liu, " A Self-Affine Fractal Model for a Metal-Electrolyte Interface," Physical Review B : Rapid Communications 35, 5389-5381 (1987).
Theodore Kaplan , S. H. Liu, and L. J. Gray, " Inverse Cantor Bar Model for the AC Response of a Rough Interface," Physical Review B 34, 4870 (1986).
L. J. Gray and Theodore Kaplan , " Analytic Continuation and Green's Function Calculations,"Journal of Physics A: Math. Gen. 19, 1555 (1986).
S. H. Liu, T. Kaplan, and L. J. Gray," AC Response of Fractal Interfaces " Solid State Ionics 18 &19, 65 (1986).
Theodore Kaplan and L. J. Gray, " The Effect of Disorder on a Fractal Model for the AC Response of a Rough Interface," Physical Review B 32, 7360 (1985).
A. K. Sen, R. Mills, T. Kaplan, and L. J. Gray, " Traveling Cluster Approximation for Uncorrelated Amorphous Systems," Physical Review B 30, 5686 (1984).
Theodore Kaplan and L. J. Gray, " Self-Consistent Cluster Approximation for Muffin-Tin Models of Random Substitutional Alloys with Environmental Disorder," Physical Review B 29, 3684-3686 (1984).
R. Mills, L. J. Gray, and Theodore Kaplan , " Analytic Approximation for Random Muffin-Tin Alloys," Physical Review B 27, 3252-3262 (1983).
R. P. Hemenger, Theodore Kaplan, and L. J. Gray, " Structure of Amphotericin B Aggregates Based on Calculations of Optical Spectra," Biopolymers 22, 911-918 (1983).
Mark Mostoller, Theodore Kaplan, and U. Landman, " Diffusion and Segregation at Surfaces and Interfaces," Physical Review B 25, 7255-7262 (1982).
L. J. Gray and Theodore Kaplan , " A Self-Consistent Theory for Random Alloys with Short-Range Order," Physical Review B 24, 1872 (1981).
Theodore Kaplan, P. L. Leath, L. J. Gray, and H. W. Diehl, " Self-Consistent Cluster Theory for Systems with Off-Diagonal Disorder," Physical Review B 21, 4230-4246 (1980).
Theodore Kaplan and L. J. Gray, " A Comment on Disordered Systems ," Journal of Physics C: Solid State Physics 12, L721-L724 (1979).
H. W. Diehl, P. L. Leath, and Theodore Kaplan, " Traveling Pseudo-Fermion Approximation for Phonon Frequency Spectra of Binary Mixed Crystals," Physical Review B 19, 5044 (1979).
Mark Mostoller and Theodore Kaplan, " Coherent Locator Approach to Lattice Vibrations in Alloys with Diagonal and Geometrically-Scaled Off-Diagonal Disorder," Physical Review B 19, 3938 (1979).
R. P. Hemenger, Theodore Kaplan, and L. J. Gray, " Theoretical Optical Spectra for Large Aggregates of Chromophores," Journal of Chemical Physics 70, 3324 (1979).
Mark Mostoller and Theodore Kaplan, " Elementary Excitations in the Surface Region of a Semi-Infinite Solid," Physical Review B 19, 552 (1979).
Theodore Kaplan and L. J. Gray, " Spectral Functions of Disordered Alloys," Physical Review B 17, 4607-4613 (1978).
Mark Mostoller and Theodore Kaplan, " Lattice Vibrations in Rb1-cKc Alloys: Shortcomings of a Single Site Coherent-Potential Approximation," Physical Review B 16, 2350 (1977).
Theodore Kaplan and L. J. Gray, " Elementary Excitations in Disordered Systems with Short-Range Order," Physical Review B 15, 3260-3266 (1977).
Theodore Kaplan and L. J. Gray, " Disordered Systems with Short-Range Order," Journal of Physic C: Solid State Physics 9, L483-487 (1976).
Theodore Kaplan and L. J. Gray, " Elememtary Excitations in Random Substitutional Alloys," Physical Review B 14, 3462 (1976).
H. L. Davis and Theodore Kaplan " Aspects of Angular Dependent Auger Spectroscopy (ADAS)," Solid State Communications 19, 595-597 (1976).
Theodore Kaplan and L. J. Gray, " Distribution of Vibrational Modes in an Amorphous Linear Chain," Physica 83 B, 310-313 (1976).
Theodore Kaplan and L. J. Gray, " Off-Diagonal Disorder in Random Substitutional Alloys," Journal of Physics C: Solid State Physics 9, L303-307 (1976).
Mark Mostoller, Theodore Kaplan, N. Wakabayashi, and R. M. Nicklow, " Lattice Vibrations in hcp Y0.9Tb0.1 in the Coherent-Potential Approximation," Physical Review B 10, 3144-3149 (1974).
Theodore Kaplan and Mark Mostoller, " Force Constant and Mass Disorder in (NH4)cK1-cCl Alloys in the Coherent-Potential Approximation," Physical Review B 10, 3610-3618 (1974).
Theodore Kaplan and Mark Mostoller, " Force Constant and Mass Disorder in Vibrational Systems in the Coherent-Potential Approximation," Physical Review B 9, 1783-1791 (1974).
Theodore Kaplan, and Mark Mostoller, " Local Modes in Al0.1Cu0.9 and (NH4)0.1K0.9Cl in the Coherent-Potential Approximation," Physical Review B 9, 353-359 (1974).
Theodore Kaplan, D. C. Bullock, David Adler, and D. J. Epstein, " Thermally Induced Negative Resisitance in Si-Doped YIG," Applied Physics Letters 20, 439 (1972).
Theodore Kaplan and David Adler, " Electrothermal Switching in Amorphous Semiconductors," Journal of Non-Crystalline Solids 8-10, 538-543 (1972).
Theodore Kaplan and David Adler, " Thermal Effects in Amorphous Semiconductor Switching," Applied Physics Letters 19, 418-420 (1971).
M. C. Teich and T. Kaplan, " Electroptic Effect in Trigonal Selenium at 10.6 um", IEEE Journal of Quantum Electronics QE-2, 702-703 (1966).