Continuum Definitions for Stress in Atomistic Simulation
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E. B. Webb | J. J. Hoyt | J. Hoyt | E. Webb
[1] W. H. Weinberg,et al. Theoretical study of the energetics, strain fields, and semicoherent interface structures in layer-by-layer semiconductor heteroepitaxy , 1999 .
[2] Foiles,et al. Embedded-atom-method functions for the fcc metals Cu, Ag, Au, Ni, Pd, Pt, and their alloys. , 1986, Physical review. B, Condensed matter.
[3] T. Belytschko,et al. Element-free galerkin methods for static and dynamic fracture , 1995 .
[4] Ted Belytschko,et al. Multiple scale meshfree methods for damage fracture and localization , 1999 .
[5] Theoretical examination of stress fields in Pb(Zr0.5Ti0.5)O3 , 1997, cond-mat/9704201.
[6] Wm. G. Hoover. Isomorphism linking smooth particles and embedded atoms , 1998 .
[7] T. Belytschko,et al. Element‐free Galerkin methods , 1994 .
[8] K. Watanabe,et al. Calculation of internal stresses around Cu precipitates in the bcc Fe matrix by atomic simulation , 1999 .
[9] J. Banavar,et al. Computer Simulation of Liquids , 1988 .
[10] Sidney Yip,et al. Atomic‐level stress in an inhomogeneous system , 1991 .
[11] R. Smith,et al. Void formation during film growth: A molecular dynamics simulation study , 1996 .
[12] Weber,et al. Computer simulation of local order in condensed phases of silicon. , 1985, Physical review. B, Condensed matter.
[13] Mark F. Horstemeyer,et al. Atomistic Finite Deformation Simulations: A Discussion on Length Scale Effects in Relation to Mechanical Stresses , 1999 .
[14] J. Monaghan,et al. Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .
[15] J. Kirkwood,et al. The Statistical Mechanical Theory of Surface Tension , 1949 .
[16] H. Fischmeister,et al. Crack propagation in b.c.c. crystals studied with a combined finite-element and atomistic model , 1991 .
[17] I. Babuska,et al. The partition of unity finite element method: Basic theory and applications , 1996 .
[18] Ted Belytschko,et al. Advances in multiple scale kernel particle methods , 1996 .
[19] Ted Belytschko,et al. EFG approximation with discontinuous derivatives , 1998 .
[20] D. H. Tsai. The virial theorem and stress calculation in molecular dynamics , 1979 .
[21] B. Nayroles,et al. Generalizing the finite element method: Diffuse approximation and diffuse elements , 1992 .
[22] Robert J. Swenson,et al. Comments on virial theorems for bounded systems , 1983 .
[23] The Nature of Crack Tip Fields in Atomic Scale Models of Aluminum , 1990 .
[24] William G. Hoover,et al. Nonequilibrium Molecular Dynamics , 1983 .
[25] V. Vítek,et al. Atomic Level Stresses in Solids and Liquids , 1987 .
[26] Su Hao,et al. Computer implementation of damage models by finite element and meshfree methods , 2000 .
[27] Ted Belytschko,et al. Element-free Galerkin method for wave propagation and dynamic fracture , 1995 .
[28] Albert-László Barabási,et al. Molecular-dynamics investigation of the surface stress distribution in a Ge/Si quantum dot superlattice , 1999 .
[29] Mark A Fleming,et al. Smoothing and accelerated computations in the element free Galerkin method , 1996 .
[30] Ju Li,et al. Mechanistic aspects and atomic-level consequences of elastic instabilities in homogeneous crystals , 2001 .
[31] P. Lancaster,et al. Surfaces generated by moving least squares methods , 1981 .
[32] A. Madhukar,et al. Simulations of atomic level stresses in systems of buried Ge /Si islands. , 2001, Physical review letters.
[33] Jiun-Shyan Chen,et al. Non‐linear version of stabilized conforming nodal integration for Galerkin mesh‐free methods , 2002 .
[34] Charles B. Kafadar,et al. Micropolar media—I the classical theory , 1971 .
[35] T. Belytschko,et al. THE NATURAL ELEMENT METHOD IN SOLID MECHANICS , 1998 .
[36] R. A. Uras,et al. Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method , 1995 .
[37] J. Henderson,et al. Statistical mechanics of inhomogeneous fluids , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[38] Kun Huang. On the atomic theory of elasticity , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[39] T. Belytschko,et al. Nodal integration of the element-free Galerkin method , 1996 .
[40] Wing Kam Liu,et al. Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures , 1996 .
[41] Martin,et al. Quantum-mechanical theory of stress and force. , 1985, Physical review. B, Condensed matter.
[42] Gregory J. Wagner,et al. Application of essential boundary conditions in mesh-free methods: a corrected collocation method , 2000 .
[43] S. Atluri,et al. A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .
[44] Wing Kam Liu,et al. Mesh-free simulations of shear banding in large deformation , 2000 .
[45] Li,et al. Moving least-square reproducing kernel methods (I) Methodology and convergence , 1997 .
[46] Ted Belytschko,et al. THE ELEMENT FREE GALERKIN METHOD FOR DYNAMIC PROPAGATION OF ARBITRARY 3-D CRACKS , 1999 .
[47] C. M. Stone,et al. A computational method for quasi-static fracture , 1998 .
[48] Mark A Fleming,et al. Meshless methods: An overview and recent developments , 1996 .
[49] Wing Kam Liu,et al. Implementation of boundary conditions for meshless methods , 1998 .
[50] O. C. Zienkiewicz,et al. A new cloud-based hp finite element method , 1998 .
[51] Ted Belytschko,et al. Numerical integration of the Galerkin weak form in meshfree methods , 1999 .
[52] White,et al. Split shock waves from molecular dynamics. , 1991, Physical review letters.
[53] J. Q. Broughton,et al. Concurrent coupling of length scales: Methodology and application , 1999 .
[54] Lord Rayleigh,et al. XLII.On the momentum and pressure of gaseous vibrations, and on the connexion with the virial theorem , 1905 .
[55] Wing Kam Liu,et al. Numerical simulations of strain localization in inelastic solids using mesh‐free methods , 2000 .
[56] Mark A Fleming,et al. Continuous meshless approximations for nonconvex bodies by diffraction and transparency , 1996 .
[57] C. G. Hoover,et al. Temperature maxima in stable two-dimensional shock waves , 1997 .
[58] T. J. Delph,et al. Stress calculation in atomistic simulations of perfect and imperfect solids , 2001 .
[59] Ted Belytschko,et al. Multi-scale methods , 2000 .
[60] Wing Kam Liu,et al. Reproducing kernel particle methods , 1995 .
[61] Wing Kam Liu,et al. Reproducing kernel particle methods for structural dynamics , 1995 .
[62] S. Jun,et al. Multiresolution reproducing kernel particle methods , 1997 .
[63] White,et al. Molecular-dynamics simulations of void collapse in shocked model-molecular solids. , 1994, Physical review. B, Condensed matter.
[64] E. O’Reilly,et al. Calculation of strain relaxation in strained-layer structures: comparison of atomistic and continuum methods , 1994 .
[65] Ted Belytschko,et al. A finite element method for crack growth without remeshing , 1999 .
[66] R. A. Uras,et al. Generalized multiple scale reproducing kernel particle methods , 1996 .
[67] S. Li,et al. Synchronized reproducing kernel interpolant via multiple wavelet expansion , 1998 .
[68] T. Belytschko,et al. Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions , 1997 .
[69] S. Atluri,et al. A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach , 1998 .
[70] T. Belytschko,et al. DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS , 1996 .
[71] Ted Belytschko,et al. Explicit Reproducing Kernel Particle Methods for large deformation problems , 1998 .
[72] Ted Belytschko,et al. A coupled finite element-element-free Galerkin method , 1995 .
[73] Wing Kam Liu,et al. Wavelet and multiple scale reproducing kernel methods , 1995 .
[74] Wing Kam Liu,et al. Multiple‐scale reproducing kernel particle methods for large deformation problems , 1998 .
[75] Brian Moran,et al. Treatment of material discontinuity in the Element-Free Galerkin method , 1996 .
[76] T. Belytschko,et al. Fracture and crack growth by element free Galerkin methods , 1994 .
[77] R. Clausius,et al. XVI. On a mechanical theorem applicable to heat , 1870 .
[78] J. Kirkwood,et al. The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics , 1950 .