Gurtin-Murdoch surface elasticity theory revisit: An orbital-free density functional theory perspective
暂无分享,去创建一个
[1] Shaohua Chen,et al. An interface energy density-based theory considering the coherent interface effect in nanomaterials , 2017 .
[2] Shaohua Chen,et al. Surface effect in the bending of nanowires , 2016 .
[3] Liping Liu,et al. From atomistics to continuum: Effects of a free surface and determination of surface elasticity properties , 2015 .
[4] Yin Yao,et al. Surface effect on resonant properties of nanowires predicted by an elastic theory for nanomaterials , 2015 .
[5] Shaohua Chen,et al. Size effect of the surface energy density of nanoparticles , 2015 .
[6] Shaohua Chen,et al. Elastic Theory of Nanomaterials Based on Surface-Energy Density , 2014 .
[7] D. Fang,et al. A curvature-dependent interfacial energy-based interface stress theory and its applications to nano-structured materials: (I) General theory , 2014 .
[8] E. Weig,et al. Size-independent Young's modulus of inverted conical GaAs nanowire resonators , 2013, 1401.4010.
[9] Gang Wang,et al. Atomistic Calculations of Surface Energy of Spherical Copper Surfaces , 2012 .
[10] M. Cherkaoui,et al. Estimation of anisotropic elastic properties of nanocomposites using atomistic-continuum interphase model , 2012 .
[11] W. G. Wolfer. Elastic properties of surfaces on nanoparticles , 2011 .
[12] P. Sharma,et al. Curvature-dependent surface energy and implications for nanostructures , 2011 .
[13] V. Gavini,et al. A field theoretical approach to the quasi-continuum method , 2011 .
[14] Harold S. Park,et al. A continuum model for the mechanical behavior of nanowires including surface and surface-induced initial stresses , 2011 .
[15] V. Gavini,et al. A homogenization analysis of the field theoretic approach to the quasi-continuum method , 2010, 1012.2334.
[16] I. Vasiliev,et al. Computational study of the surface properties of aluminum nanoparticles , 2009 .
[17] Khashayar Babaei Gavan,et al. Size-dependent effective Young’s modulus of silicon nitride cantilevers , 2009 .
[18] H. M. Lu,et al. Size dependent interface energy and its applications , 2008 .
[19] D. Vollath,et al. On the role of surface energy and surface stress in phase-transforming nanoparticles , 2008 .
[20] Sukky Jun,et al. Atomistic calculations of interface elastic properties in noncoherent metallic bilayers , 2008 .
[21] Grigorios A. Pavliotis,et al. Multiscale Methods: Averaging and Homogenization , 2008 .
[22] Young H. Park,et al. Theoretical study of the surface energy, stress, and lattice contraction of silver nanoparticles , 2007 .
[23] Z. P. Huang,et al. Size-dependent effective properties of a heterogeneous material with interface energy effect: from finite deformation theory to infinitesimal strain analysis , 2007 .
[24] Kaushik Bhattacharya,et al. Quasi-continuum orbital-free density-functional theory : A route to multi-million atom non-periodic DFT calculation , 2007 .
[25] Harold S. Park,et al. Surface Cauchy-Born analysis of surface stress effects on metallic nanowires , 2007 .
[26] Harold S. Park,et al. A surface Cauchy–Born model for nanoscale materials , 2006 .
[27] Kaushik Bhattacharya,et al. Non-periodic finite-element formulation of orbital-free density functional theory , 2006 .
[28] Jianbin Xu,et al. Surface effects on elastic properties of silver nanowires: Contact atomic-force microscopy , 2006 .
[29] Chengxin Wang,et al. Size-dependent interface energy , 2006 .
[30] Bhushan Lal Karihaloo,et al. Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress , 2005 .
[31] Vijay B. Shenoy,et al. Atomistic calculations of elastic properties of metallic fcc crystal surfaces , 2005 .
[32] Pradeep Sharma,et al. Size-Dependent Eshelby’s Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface Energies , 2004 .
[33] Bernard Nysten,et al. Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy , 2004 .
[34] Hanchen Huang,et al. Are surfaces elastically softer or stiffer , 2004 .
[35] E. Bourhis,et al. Measurement of the elastic constants of textured anisotropic thin films from x-ray diffraction data , 2003 .
[36] Pradeep Sharma,et al. Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities , 2003 .
[37] V. Tewary,et al. Thin-film elastic-property measurements with laser-ultrasonic SAW spectrometry , 2001 .
[38] P. Renault,et al. Characterization of thin film elastic properties using X-ray diffraction and mechanical methods: application to polycrystalline stainless steel , 2001 .
[39] David J. Srolovitz,et al. Surface stress model for intrinsic stresses in thin films , 2000 .
[40] Vijay B. Shenoy,et al. Size-dependent elastic properties of nanosized structural elements , 2000 .
[41] Ray W. Ogden,et al. Elastic surface—substrate interactions , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[42] Emily A. Carter,et al. Orbital-free kinetic-energy functionals for the nearly free electron gas , 1998 .
[43] Huajian Gao,et al. An atomistic interpretation of interface stress , 1998 .
[44] R. Ogden,et al. Plane deformations of elastic solids with intrinsic boundary elasticity , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[45] Robert C. Cammarata,et al. SURFACE AND INTERFACE STRESS EFFECTS IN THIN FILMS , 1994 .
[46] Smargiassi,et al. Orbital-free kinetic-energy functionals for first-principles molecular dynamics. , 1994, Physical review. B, Condensed matter.
[47] Wang,et al. Kinetic-energy functional of the electron density. , 1992, Physical review. B, Condensed matter.
[48] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[49] Morton E. Gurtin,et al. A continuum theory of elastic material surfaces , 1975 .
[50] Joseph Callaway,et al. Inhomogeneous Electron Gas , 1973 .
[51] W. Kohn,et al. Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .
[52] R. Tolman. The Effect of Droplet Size on Surface Tension , 1949 .
[53] D. Hartree. The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods , 1928, Mathematical Proceedings of the Cambridge Philosophical Society.
[54] Yachun Li,et al. Physics and partial differential equations , 2012 .
[55] Pierre-Louis Lions,et al. The Mathematical Theory of Thermodynamic Limits: Thomas--Fermi Type Models , 1998 .
[56] R. Parr. Density-functional theory of atoms and molecules , 1989 .
[57] Morton E. Gurtin,et al. Surface stress in solids , 1978 .
[58] Jens Lothe John Price Hirth,et al. Theory of Dislocations , 1968 .