Belytschko, T., Moran, B., and Kulkarni, M., On the Crucial Role of Imperfections in Quasistatic Viscoplastic Solutions, J. App. Mech, Vol. 58, No. 3, pp. 658-665, 1991.
Cai, H., Moran, B. and Faber, K.T., Analysis of a Microcrack Prototype and its Implications for Microcrack Toughening, J. Amer. Ceramic Soc., 74(7), pp. 1695-98, 1991.
Gosz, M., Moran, B. and Achenbach, J.D., Effect of A Viscoelastic Interface on the Transverse Behavior of Fiber-Reinforced Composites, Int. J. Solids and Struct., Vol. 27, No. 14, pp. 1757-1771, 1991.
Moran, B., Asaro, R.J. and Shih, C.F., Effects of Material Rate Sensitivity and Void Nucleation on Fracture Initiation in a Circumferentially Cracked Bar, Met. Trans. 22 A., pp. 161-170, 1991.
Lu, Y.Y., and Belytschko, T., A Variationally Coupled FE-BE Method for Elastically and Fracture Mechanics, Computer Methods in Applied Mechanics and Engineering, Vol 85, pp. 21-37, 1991.
Liu, W. K., Chen, Y. J., Tsukimori, K., and Uras, R. A., Recent Advances in Dynamic Buckling analysis of Liquid-Filled Shells, Journal of Pressure Vessel Technology, Vol. 113, May, pp. 314-320, 1991.
Liu, W. K, and Uras, R. A., Buckling of Force-Excited Liquid-Filled Shells, Journal of Pressure Vessel Technology, vol. 113, 418-422, 1991.
Besterfield, G. H., Liu, W. K., Lawrence, M. A., and Belytschko, T. B., Fatigue Crack Growth Reliability by Probabilistic Finite Elements, Computer Methods in Applied Mechanics and Engineering, vol. 86, pp. 297-320, 1991.
Liu, W. K., Zhang, Y. F., and Ramirez, M. R., Multi-Scale Finite Element Methods, International Journal for Numerical Methods in Engineering, vol. 32, pp. 969-990, 1991.
Liu, W. K., Zhang, Y. F., Belytschko, T., and Chen, J. S., Adaptive ALE Finite Elements with Particular Reference to External Work Rate on Frictional Interface, Computer Methods in Applied Mechanics and Engineering, vol. 93, 189-216, 1991.
Brinson, L. C., and Knauss, W. G., Thermorheologically Complex Behavior of Multi-Phase Viscoelastic Materials, Journal of the Mechanics and Physics of Solids vol. 39, No. 7, pp. 859-880, 1991.
Belytschko, T., and Gilbertson, N., Explicit Time Integration of Finite Element Models on a Vectorized, Concurrent Computer with Shared Memory, Finite Elements in Analysis and Design, 7, pp. 193-215, 1991.
T. Belytschko and Neal, M.O., Contact-Impact by the Pinball Algorithm with Penalty and Lagrangian Methods, International Journal for Numerical Methods in Engineering, 31, pp. 547-572, 1991.
Belytschko, T., and Lu, Y.Y., Singular Integration in Variationally Coupled FE-BE Method, Journal of Engineering Mechanics, 117(4), pp. 820-835, 1991.
Belytschko, T., and Bindeman, L. P., Assumed Strain Stabilization of the 4-Node Quadrilateral with 1-Point Quadrature for Nonlinear Problems, Computer Methods in Applied Mechanics and Engineering, 88, pp. 311-340, 1991.
Kulkarni, M., and Belytschko, T., On the Effect of Imperfections and Spatial Gradient Regularization in Strain Softening Viscoplasticity, Mechanics Research Communications, 18(6), pp. 335-343, 1991.
Dowding, C. H. Zubelewicz, A., O'Connor, K. M., and Belytschko, T.,, Explicit Modeling of Dilation, Asperity Degradation and Cyclic Seating of Rock Joints, Computers and Geotechnics, 11, pp. 209-227, 1991.
Belytschko, T., Plaskacz, E. J., and Chiang, H.-Y., Explicit Finite Element Methods with Contact-Impact on SIMD Computers, Computing Systems in Engineering, 2, No. 2/3, pp. 269-276, 1991.
K. Deller, T. Erneux and A. Bayliss, Asymptotic and Numerical Study of Brusselator Chaos, Euro. Journal of Appl. Math., Vol. 2 (1991) 341-357.
L. Maestrello, A. Bayliss and R. Krishnan, On the Interaction between First- and Second-Mode Waves in a Supersonic Boundary Layer, Physics of Fluids A Vol. 3 (1991) 3014-3020.
Brinson, L. C., and Knauss, W. G., Finite Element Analysis of Multi-Phase Viscoelastic Solids, accepted for publication in ASME, Transactions, Journal of Applied Mechanics, vol. 59:4, pp. 730-737 (1992).
Gosz, M., Moran, B., and Achenbach, J. D., Load-Dependent Constitutive Response of Fiber Composites with Compliant Interphases, J. Mech. Phys. Solids, Vol. 40, 8, pp. 1789-1803 (1992)
Narasimhan, R., Rosakis, A. J., and Moran, B., A Three Dimensional Numerical Investigation of Fracture Initiation by Ductile Failure Mechanisms in 4340 Steel, Int. J. Fracture, 56, pp. 1-24, 1992.
Moran, B., and Knauss, W. G., Crack Tip Stress and Deformation Fields in Strain-Softening Nonlinearly Viscoelastic Solids, J. App. Mech, Vol. 59, No. 1, pp. 95-101, 1992.
Lua, Y. J., Liu, W. K., and Belytschko, T., A Stochastic Damage Model for the Rupture Prediction of a Multi-Phase Solid: Part I: Parametric Studies, Int. J. Fracture Mech., 55, pp.321-340, 1992.
Lua, Y. J., Liu, W. K., and Belytschko, T., A Stochastic Damage Model for the Rupture Prediction of a Multi-Phase Solid: Part II: Statistical Approach, Int. J. Fracture Mech., 55, pp.341-361, 1992.
Hu, Y. K., and Liu, W. K., ALE Finite Element Formulation for Ring Rolling Analysis, International Journal of Numerical Methods for Engineering, 33, pp.1217-1236, 1992.
Harkness, H. H., and Belytschko, T., and Liu, W. K., Finite Element Reliability Analysis of Fatigue Life, Nuclear Engineering and Design, 113, pp.209-224, 1992.
Liu, W. K., Y. K. Hu and T. Belytschko, ALE Finite Elements with Hydrodynamic Lubricated for Metal Forming, Nuclear Engineering and Design, 138, pp.1-10, 1992 (Dec).
Liu, W. K., Arbitrary Lagrangian-Eulerian Finite Elements for Fluid-Shell Interaction Problems, J. of the Braz. Soc. of Mech. Sc., Vol. XIV- 4, pp. 347-368, 1992.
Fish, J., and Belytschko, T., Stabilized Rapidly Convergent 18-Degrees-of-Freedom Flat Shell Triangular Element, International Journal for Numerical Methods in Engineering, 33, pp. 149-162, 1992.
Belytschko, T., and Lu, Y.Y., A Curvilinear Spectral Overlay Method for High Gradient Problems, Computer Methods in Applied Mechanics and Engineering, 95, pp. 383-396, 1992.
Belytschko, T., Wong, B.L., and Chiang, H.-Y., Advances in One-Point Quadrature Shell Elements, Computer Methods in Applied Mechanics and Engineering, 96, pp. 93-107, 1992.
Belytschko, T., and Lu, Y.Y., Stability Analysis of Elemental Explicit-Implicit Partitions by Fourier Methods, Computer Methods in Applied Mechanics and Engineering, 95, pp. 87-96, 1992.
Belytschko, T., and Plaskacz, E .J., SIMD Implementation of a Non-Linear Transient Shell Program with Partially Structured Meshes, International Journal for Numerical Methods in Engineering, 33, pp. 997-1026, 1992.
Donea, J., and T. Belytschko, Advances in Computational Mechanics, Nuclear Engineering and Design, 134, pp. 1-22, 1992.
Belytschko, T., On Computational Methods for Crashworthiness, Computers and Structures, 42 (2), pp. 271-279, 1992.
Belytschko, T., and Gilbertson, N.D., Implementation of Mixed Time Integration Techniques on a Vectorized Computer with Shared Memory, International Journal for Numerical Methods in Engineering, 35, pp. 1803-1828, 1992.
A. Bayliss and B. J. Matkowsky, Nonlinear Dynamics of Cellular Flames, SIAM J. Appl. Math. Vol. 52 (1992) 396-415.
A. Bayliss and E. Turkel, Mappings and Accuracy for Chebyshev Pseudo-Spectral Approximations, Journal of Computational Physics, Vol. 101 (1992) 349-359.
A. Bayliss, G. K. Leaf and B. J. Matkowsky, Pulsating and Chaotic Dynamics near the Extinction Limit, Combustion Science and Technology, Vol. 84 (1992) 253-278.
Nahta, R., and Moran, B., Domain Integrals for Axisymmetric Interface Crack Problems, Int. J. Solids and Struct, Vol. 30, No. 15, pp. 2027-2040 (1993)
Gosz, M., and Moran, B., On the Formulation and Local Implementation of a Variationally Coupled Finite Element-Boundary Element Method, Computer Methods in Applied Mechanics and Engineering, Vol. 107, pp. 159-172 (1993)
Yu, M., Moran, B., and Keer, L. M., A Direct Analysis of Two-Dimensional Elastic-Plastic Rolling Contact, J. Tribology, Vol. 115, No. 2, pp. 237-236 (1993)
Gosz, M., Moran, B. and Achenbach, J.D., Load-Dependent Constitutive Response of Fiber Composites with Compliant Interphases, accepted for publication in J. Mech. Phys. Solids.
Yu, M., Moran, B. and Keer, L. M., A Direct Analysis of Two-Dimensional Elastic-Plastic Rolling Contact, accepted for publication in J. Tribology
Brinson, L. C. and R. Lammering, Finite Element Analysis of the Behavior of Shape Memory Alloys and their Applications, International Journal of Solids and Structures vol. 30:23, pp. 3261-3280 (1993).
L. C. Brinson, One Dimensional Constitutive Behavior of Shape Memory Alloys: thermo mechanical derivation with non-constant material functions, Journal of Intelligent Material Systems & Structures, vol. 4:2, pp. 229-242 (1993).
A. Frendi, L. Maestrello and A. Bayliss, Coupling between a Supersonic Boundary Layer and a Flexible Surface, AIAA J., Vol. 31 (1993) 708-713.
A. Class, A. Bayliss and B. J. Matkowsky, Localized Ordered Structures and Flame Stretch, Appl. Math. Letters, Vol. 6 (1993) 3-7.
T. Belytschko and Y.Y. Lu, Convergence and Stability Analyses of Multi-Time Step Algorithm for Parabolic Systems, Computer Methods in Applied Mechanics and Engineering, 102, 2, pp.179-198, 1993.
H. H. Harkness and T. Belytschko, Simple Estimates of Stress Intensity Factors by Crack Path Approximation with Application to Fatigue Reliability, Engineering Fracture Mechanics, 45, 2, pp. 255-264, 1993.
T. Belytschko and I.-S. Yeh, The Splitting Pinball Method for Contact-Impact Problems, Computer Methods in Applied Mechanics and Engineering, 105, pp.375-393, 1993.
T. Belytschko and L.P. Bindeman, Assumed Strain Stabilization of the Eight Node Hexahedral Element, Computer Methods in Applied Mechanics and Engineering, 105, pp. 225-260, 1993.
T. Belytschko and Y. Y. Lu, Explicit Multi-time Step Integration for First and Second Order Finite Element Semidiscretizations,Computer Methods in Applied Mechanics and Engineering, 108,pp.353-383, 1993.
T. Belytschko, S.-H. Lee, I.-S. Yeh, J. I. Lin, C.-S. Tsay and J. M. Kennedy Adaptivity in Crashworthiness Calculations, Shock and Vibration, 1, No. 2, pp. 97-106, 1993.
T. Belytschko and M. Tabbara, H-Adaptive Finite Element Methods for Dynamic Problems, with Emphasis on Localization, International Journal for Numerical Methods in Engineering, 36, pp. 4245-4265, 1993.
Hu, Y. K., and Liu, W. K., An ALE Hydrodynamic Lubricated Finite Element Method with Application to Strip Rolling, International Journal of Numerical Methods for Engineering, Vol. 36, pp. 855-880, 1993.
K. Tsukimori, Liu, W. K., and R. A. Uras, Formulation of Dynamic Stability of Fluid-Filled Shells, Nuclear Engineering and Design, Vol. 142, pp. 267-297, 1993.
K. Tsukimori, Liu, W. K., Y. H. Tsao, and R. A. Uras, Dynamic Stability Characteristics of Fluid-Filled Shells Under Multiple Excitations, Nuclear Engineering and Design, Vol. 142, pp. 299-318, 1993.
Lua, Y. J., and Liu, W. K., Elastic Interactions of a Fatigue Crack with a Micro-Defect by Mixed Boundary Integral Equation Method, International Journal of Numerical Methods, Vol. 36, pp. 2743-2759, 1993.
Lua, Y. J., and Liu, W. K., and Belytschko, Curvilinear Fatigue Crack Reliability Analysis by Stochastic Boundary Element Method, International Journal of Numerical Methods, Vol. 36, PP. 3841-3858, 1993.
Liu, W. K., Hu, Y. K., and Belytschko, T., Multiple Quadrature Underintegrated Finite Elements, International Journal of Numerical Methods for Engineering, 37, pp. 3263-3289 (1994).
Liu, W. K., and Hu, Y. K., Finite Element Hydrodynamic Friction Model for Metal Forming, to appear in International Journal of Numerical Methods for Engineering.
Colgate, J. E, Chang, C. T., Chiou, Y. C., Liu, W. K., and Keer, L. M., Modeling of a Hydraulic Engine Mount Focusing on Response to Sinusoidal and Composite Excitations, to appear in Journal of Sound and Vibration.
Liu, W. K., Jun, S., Li, S, Adee, J., and Belytschko, T., Reproducing Kernel Particle Methods for Structural Dynamics, to appear in International Journal for Numerical Methods in Engineering.
Liu, W. K., and Chen, Y. J., Wavelet and Multiple Scale Reproducing Kernel Methods, to appear in International Journal for Numerical Methods in Fluids.
T. Belytschko and Y. Y. Lu, A Variationally Coupled FE-BE method for Transient Problems, International Journal for Numerical Method in Engineering, 37, pp.91-105, 1994.
T. Belytschko, Y. Y. Lu and L. Gu, Element-Free Galerkin Methods, International Journal for Numerical Methods in Engineering, 37, pp. 229-256, 1994.
T. Blacker and T. Belytschko, Superconvergent Patch Recovery with Equilibrium and Conjoint Interpolant Enhancements, International Journal for Numerical Methods in Engineering, 37, pp. 517-536, 1994.
L. Gu and T. Belytschko, A Numerical Study of Stress Singularities in a Two-Material Wedge, International Journal of Solids Structures, 31, No. 6, pp. 865-889, 1994.
Y. Y. Lu, T. Belytschko and L. Gu, A New Implementation of the Element Free Galerkin Method, Computer Methods in Applied Mechanics and Engineering, 113, pp. 397-414, 1994.
T. Belytschko and I. Leviathan, Physical Stabilization of the 4-node Shell Element with One Point Quadrature, Computer Methods in Applied Mechanics and Engineering, 113, pp. 321-350, 1994.
T. Belytschko and T. Blacker, Enhanced Derivative Recovery Through Least Square Residual Penalty, Applied Numerical Mathematics, 14, pp. 55-68, 1994
T. Belytschko, L. Gu and Y. Y. Lu, Fracture and Crack Growth by Element Free Galerkin Methods, Modelling Simul. Mater. Sci. Eng., 2 pp. 519-534, 1994.
T. Belytschko and I. Leviathan, Projection Schemes for One-Point Quadrature Shell Elements, Computer Methods in Applied Mechanics and Engineering 115, pp. 277-286, 1994.
M. Tabbara, T. Blacker and T. Belytschko, Finite Element Derivative Recovery by Moving Least Square Interpolants, Computer Methods in Applied Mechanics and Engineering 117, pp. 211-223, 1994.
Monaghan M. R. and Brinson, L. C., Analysis of Variable Stress History on Polymeric Composite Materials with Physical Aging, to appear in Composites Engineering (1994).
Brinson, L. C. and T. S. Gates, Effects of Physical Aging on Long-Term Creep Behavior of Polymers and Polymer Matrix Composites, to appear in International Journal of Solids and Structures, (1994).
Nahta, R. and Moran, B., Crack Spacing in Brittle Films on Dissimilar Planar and Axisymmetric Elastic Substrates, to appear in Engineering Fracture Mechanics (1994)
Moran, B., Keer, L. M., Yu, M., and Yu, C. C., A Direct Analysis of Three-Dimensional Elastic-Plastic Rolling Contact, to appear in J. Tribology (1994)
A. Bayliss and B. J. Matkowsky, From Traveling Waves to Chaos in Combustion, SIAM J. Appl. Math., Vol. 54 (1994) 147-174.
A. Bayliss, B. J. Matkowsky and H. Riecke, Structure and Dynamics of Modulated Traveling Waves in Cellular Flames, Physica D, Vol. 74 (1994) 1-23.
A. Frendi, L. Maestrello and A. Bayliss, ''Coupling between Plate Vibration and Acoustic Radiation,'' to appear in Journal of Sound and Vibration.
A. Bayliss, T. Belytschko, M. Kulkarni and D. A. Lott-Crumpler, ''On the Dynamics and the Role of the Imperfection for Localization in Thermo-Viscoplastic Materials,'' to appear in Modelling and Simulation in Materials Science and Engineering.
A. Bayliss, A. Class and B. J. Matkowsky, ''Adaptive Approximation of Solutions to Problems with Multiple Layers by Chebyshev Pseudo-Spectral Methods,'' to appear in Journal of Computational Physics.
''Finite Element Hydrodynamic Friction Model for Metal Forming,'' (with Hu, Y. K.), to appear in International Journal of Numerical Methods for Engineering, Vol. 37, pp. 4015-4037, 1994.
''Reproducing Kernel Particle Methods for Structural Dynamics,'' (with Jun, S., Li, S, Adee, J., and Belytschko, T.), International Journal for Numerical Methods in Engineering,vol. 38, pp. 1655-1679, 1995.
''Modeling of a Hydraulic Engine Mount Focusing on Response to Sinusoidal and Composite Excitations,'' (with J. E. Colgate, C. T. Chang, Y. C. Chiou, and L. M. Keer), accepted for publication in Journal of Sound and Vibration, 184 (3), pp. 503-528, 1995.
''Reproducing Kernel Particle Methods,'' International Journal for Numerical Methods in Fluids, (with Jun, S., and Zhang, Y. F., ) INVITED, vol. 20, pp. 1081-1106, 1995.
''Three Reliability Methods for Fatigue Crack Growth,'' (with Chen, Y. J., Belytschko, T., and Lua, Y. J.), INVITED, accepted for publication in the Special volume of Engineering Fracture Mechanics, in press, 1995.
''Wavelet and Multiple Scale Reproducing Kernel Methods,'' (with Chen, Y. J.), INVITED, International Journal for Numerical Methods in Fluids, in press, 1995.
''Overview and Applications of the Reproducing Kernel Particle Methods,'' (with Y. Chen, S. Jun, J. S. Chen, T. Belytschko, C. Pan, R. A. Uras and C. T. Chang), INVITED, Archives of Computational Methods in Engineering, State of the Art Reviews, accepted for publications, September, 1995.
A. Frendi, L. Maestrello and A. Bayliss, ''Coupling between Plate Vibration and Acoustic Radiation,'' Journal of Sound and Vibration, Vol. 177 (1994) 207-226.
A. Bayliss, T. Belytschko, M. Kulkarni and D. A. Lott-Crumpler, ''On the Dynamics and the Role of the Imperfection for Localization in Thermo-Viscoplastic Materials,'' Modelling and Simulation in Materials Science and Engineering, Vol. 2, (1994) 941-964.
A. Bayliss, A. Class and B. J. Matkowsky, ''Adaptive Approximation of Solutions to Problems with Multiple Layers by Chebyshev Pseudo-Spectral Methods,'' Journal of Computational Physics, Vol. 116, (1995) 160-172.
A. Bayliss, A. Class and B. J. Matkowsky, ''Roundoff Error in Computing Derivatives using the Chebyshev Differentiation Matrix,'' Journal of Computational Physics, Vol. 116, (1995) 380-383.
J. L. McGreevy, A. Bayliss and L. Maestrello, ''Interaction of Jet Noise with a nearby Panel Assembly,'' AIAA J., Vol. 33, (1995), 577-585.
A. Bayliss, M. Garbey and B. J. Matkowsky, ''Adaptive Pseudo-Spectral Domain Decomposition and the Approximation of Multiple Layers,'' Journal of Computational Physics, Vol. 119, (1995), 132-141.
M. Kulkarni, T. Belytschko and A. Bayliss, ''Stability and Error Analysis for Time Integrators Applied to Strain-Softening Materials,'' Computer Methods in Applied Mechanics and Engineering, Vol. 124, (1995), 335-363.
M. Tabbara, T. Blacker and T. Belytschko, ''Finite Element Derivative Recovery by Moving Least Square Interpolants,'' Computer Methods in Applied Mechanics and Engineering, 117, pp.211-223, 1994.
W. K. Liu, Y-K Hu, and T. Belytschko, ''Multiple Quadrature Underintegrated Finite Elements'', International Journal for Numerical Methods in Engineering, 37, pp. 3263-3289, 1994.
A Bayliss, T. Belytschko, M. Kulkarni, and D.A. Lott-Crumpler, ''On the Dynamics and the Role of Imperfections for Localization in Thermo-Viscoplastic Materials,'' Modelling Simul. Mater. Sci. Eng., 2, pp. 941-964, 1994.
S.H. Lee, T. Blacker and T. Belytschko, ''Derivative Recovery Techniques for C0 Plate Problems,'' Engineering Computations, 11, pp. 495-512, 1994.
T. Belytschko, H.-Y. Chiang and E Plaskacz, ''High Resolution Two-Dimensional Shear Band Computations: Imperfections and Mesh Dependence'' Computer Methods in Applied Mechanics and Engineering, 119, pp. 1-15, 1994.
H. Stolarski, T. Belytschko and S.H. Lee, ''A Review of Shell Finite Elements and Corotational Theories,'' Computational Mechanics Advances, 2, pp. 125-212, 1995.
W.K. Liu, S. Jun, J. Adee and T. Belytschko, ''Reproducing Kernel Particle Methods for Structural Dynamics,'' International Journal for Numerical Methods in Engineering, 38, pp. 1655-1679, 1994.
S.H. Lee and T. Belytschko, ''H-Adaptive Methods for Nonlinear Dynamic Analysis of Shell Structures, '' Shock and Vibration, 2, No. 3, pp. 193-204, 1995.
T. Belytschko, Y.Y. Lu, L. Gu and M. Tabbara, ''Element-Free Galerkin Methods for Static and Dynamic Fracture,'' International Journal of Solids and Structures, 32, No. 17/18, pp. 2547-2570, 1995.
W.K. Liu, J. Adee and S. Jun, "Reproducing Kernel Particle Methods for Elastic and Plastic Problems," Advanced Computational Methods for Material Modeling, Eds. Benson, D.J. and Asaro, R.A., AMD 180 and PVP 268, ASME, pp. 175-190, 1993.