An atomic interaction‐based continuum model for computational multiscale contact mechanics
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[1] Tongxi Yu,et al. Mechanics of adhesion in MEMS—a review , 2003 .
[2] K. Bathe,et al. Stability and patch test performance of contact discretizations and a new solution algorithm , 2001 .
[3] R. Full,et al. Adhesive force of a single gecko foot-hair , 2000, Nature.
[4] Benjamin J. Glasser,et al. Scale dependence, correlations, and fluctuations of stresses in rapid granular flows , 2001 .
[5] P. C. Dunne. Finite elements, procedures in engineering analysis , 1982 .
[6] J. A. Greenwood,et al. Adhesion of elastic spheres , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[7] K. Kendall,et al. Surface energy and the contact of elastic solids , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[8] Xiaopeng Xu,et al. Numerical simulations of fast crack growth in brittle solids , 1994 .
[9] M. Gurtin,et al. An introduction to continuum mechanics , 1981 .
[10] T. Schlick. Molecular modeling and simulation , 2002 .
[11] Ki Myung Lee,et al. Crystallite coalescence during film growth based on improved contact mechanics adhesion models , 2004 .
[12] Ted Belytschko,et al. An atomistic-based finite deformation membrane for single layer crystalline films , 2002 .
[13] Andrew Palmer. Scaling Laws in Mechanics of Failure , 1995 .
[14] Phaedon Avouris,et al. Deformation of carbon nanotubes by surface van der Waals forces , 1998 .
[15] Dong Qian,et al. Mechanics of carbon nanotubes , 2002 .
[16] Jiunn-Jong Wu. Adhesive contact between a nano-scale rigid sphere and an elastic half-space , 2006 .
[17] M. Ortiz,et al. An adaptive finite element approach to atomic-scale mechanics—the quasicontinuum method , 1997, cond-mat/9710027.
[18] Sung-San Cho,et al. Finite element modeling of adhesive contact using molecular potential , 2004 .
[19] M. Hodak,et al. Carbon nanotubes, buckyballs, ropes, and a universal graphitic potential , 2000 .
[20] R. S. Bradley,et al. LXXIX. The cohesive force between solid surfaces and the surface energy of solids , 1932 .
[21] J. H. Weiner,et al. Statistical Mechanics of Elasticity , 1983 .
[22] H. C. Hamaker. The London—van der Waals attraction between spherical particles , 1937 .
[23] J. Tersoff,et al. New empirical approach for the structure and energy of covalent systems. , 1988, Physical review. B, Condensed matter.
[24] Harold S. Park,et al. An introduction and tutorial on multiple-scale analysis in solids , 2004 .
[25] Tod A. Laursen,et al. Formulation and treatment of frictional contact problems using finite elements , 1992 .
[26] Johnson,et al. An Adhesion Map for the Contact of Elastic Spheres , 1997, Journal of colloid and interface science.
[27] P. Gumbsch,et al. Atomistic modeling of mechanical behavior , 2003 .
[28] M. Ortiz,et al. FINITE-DEFORMATION IRREVERSIBLE COHESIVE ELEMENTS FOR THREE-DIMENSIONAL CRACK-PROPAGATION ANALYSIS , 1999 .
[29] T. I. Zohdi,et al. An introduction to modeling and simulation of particulate flows , 2007, Computational science and engineering.
[30] Rafael Tadmor,et al. LETTER TO THE EDITOR: The London-van der Waals interaction energy between objects of various geometries , 2001 .
[31] P. Eklund,et al. Electronic properties of semiconductor nanowires. , 2008, Journal of nanoscience and nanotechnology.
[32] B. Luan,et al. The breakdown of continuum models for mechanical contacts , 2005, Nature.
[33] G. Dietler,et al. Force-distance curves by atomic force microscopy , 1999 .
[34] Mark A. Lantz,et al. Simultaneous force and conduction measurements in atomic force microscopy , 1997 .
[35] Gerber,et al. Atomic force microscope. , 1986, Physical review letters.
[36] Ronald S. Fearing,et al. Synthetic gecko foot-hair micro/nano-structures as dry adhesives , 2003 .
[37] L. E. Malvern. Introduction to the mechanics of a continuous medium , 1969 .
[38] Florian Theil,et al. Validity and Failure of the Cauchy-Born Hypothesis in a Two-Dimensional Mass-Spring Lattice , 2002, J. Nonlinear Sci..
[39] Roger A. Sauer,et al. An atomic interaction-based continuum model for adhesive contact mechanics , 2007 .
[40] Huajian Gao,et al. Mechanics of hierarchical adhesion structures of geckos , 2005 .
[41] D. Maugis. Adhesion of spheres : the JKR-DMT transition using a dugdale model , 1992 .
[42] Richard Martel,et al. Manipulation of Individual Carbon Nanotubes and Their Interaction with Surfaces , 1998 .
[43] Ting Zhu,et al. Quantifying the early stages of plasticity through nanoscale experiments and simulations , 2003 .
[44] Rodney S. Ruoff,et al. Radial deformation of carbon nanotubes by van der Waals forces , 1993, Nature.
[45] Peter Wriggers,et al. Nichtlineare Finite-Element-Methoden , 2001 .
[46] J. C. Simo,et al. A three-dimensional finite-strain rod model. Part II: Computational aspects , 1986 .
[47] Roger A. Sauer,et al. A contact mechanics model for quasi‐continua , 2007 .
[48] I. L. Singer,et al. Friction and energy dissipation at the atomic scale: A review , 1994 .
[49] G. Zanzotto,et al. The Cauchy-Born hypothesis, nonlinear elasticity and mechanical twinning in crystals , 1996 .
[50] Ted Belytschko,et al. Finite element methods for the non‐linear mechanics of crystalline sheets and nanotubes , 2004 .
[51] Dong Qian,et al. Effect of interlayer potential on mechanical deformation of multiwalled carbon nanotubes. , 2003, Journal of nanoscience and nanotechnology.
[52] T. Laursen. Computational Contact and Impact Mechanics , 2003 .
[53] C Goldenberg,et al. On the microscopic foundations of elasticity , 2002, The European physical journal. E, Soft matter.
[54] Chung-Yuen Hui,et al. Collapse of single-walled carbon nanotubes , 2005 .
[55] P. Wriggers,et al. A method for solving contact problems , 1998 .
[56] Z. Bažant,et al. Fracture and Size Effect in Concrete and Other Quasibrittle Materials , 1997 .
[57] C. Lanczos. The variational principles of mechanics , 1949 .
[58] William A. Goddard,et al. Energetics, structure, mechanical and vibrational properties of single-walled carbon nanotubes , 1998 .
[59] P. Wriggers,et al. A segment-to-segment contact strategy , 1998 .
[60] Steven D. Kenny,et al. Atomistic simulations of structural transformations of silicon surfaces under nanoindentation , 2004 .
[61] D. Brenner,et al. Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films. , 1990, Physical review. B, Condensed matter.
[62] A. Giannakopoulos,et al. Discrete and continuous deformation during nanoindentation of thin films , 2000 .
[63] J. Israelachvili. Intermolecular and surface forces , 1985 .
[64] C. Hui,et al. Elastica solution for a nanotube formed by self-adhesion of a folded thin film , 2004 .
[65] Mary C. Boyce,et al. Mechanics of deformation of single- and multi-wall carbon nanotubes , 2004 .
[66] P. Chadwick. Continuum Mechanics: Concise Theory and Problems , 1976 .
[67] Jean Paul Thiery,et al. Johnson-Kendall-Roberts theory applied to living cells. , 2005, Physical review letters.
[68] Gregory J. Wagner,et al. A multiscale projection method for the analysis of carbon nanotubes , 2004 .
[69] J. Huetink,et al. A geometrical-based contact algorithm using a barrier method , 2001 .
[70] D. Chandler,et al. Introduction To Modern Statistical Mechanics , 1987 .
[71] Jagota,et al. An Intersurface Stress Tensor , 1997, Journal of colloid and interface science.
[72] M. Ortiz,et al. Quasicontinuum analysis of defects in solids , 1996 .
[73] Berend Smit,et al. Understanding molecular simulation: from algorithms to applications , 1996 .
[74] Ronald E. Miller,et al. The Quasicontinuum Method: Overview, applications and current directions , 2002 .
[75] M. Ortiz,et al. An analysis of the quasicontinuum method , 2001, cond-mat/0103455.
[76] Nigel D Goldenfeld,et al. Crystals, Defects and Microstructures: Modeling across Scales , 2002 .
[77] Anand Jagota,et al. Surface formulation for molecular interactions of macroscopic bodies , 1997 .
[78] K. Johnson. Continuum mechanics modeling of adhesion and friction , 1996 .
[79] Robert E. Rudd,et al. Coarse-grained molecular dynamics: Nonlinear finite elements and finite temperature , 2005 .
[80] T. Belytschko,et al. Transition states and minimum energy pathways for the collapse of carbon nanotubes , 2006 .
[81] David J. Benson,et al. A single surface contact algorithm for the post-buckling analysis of shell structures , 1990 .
[82] David B. Bogy,et al. Head-disk interface dynamic instability due to intermolecular forces , 2003 .
[83] R. Full,et al. Evidence for van der Waals adhesion in gecko setae , 2002, Proceedings of the National Academy of Sciences of the United States of America.
[84] E. Reissner. On one-dimensional finite-strain beam theory: The plane problem , 1972 .
[85] J. C. Hamilton,et al. Dislocation nucleation and defect structure during surface indentation , 1998 .
[86] Ronald E. Miller,et al. Atomistic simulation of nanoindentation into copper multilayers , 2005 .
[87] Klaus-Jürgen Bathe,et al. The inf–sup condition and its evaluation for mixed finite element methods , 2001 .
[88] S. Timoshenko,et al. Theory of elasticity , 1975 .
[89] Ted Belytschko,et al. Mechanics of defects in carbon nanotubes: Atomistic and multiscale simulations , 2005 .
[90] J. C. Simo,et al. A finite strain beam formulation. The three-dimensional dynamic problem. Part I , 1985 .
[91] Dimitri D. Vvedensky,et al. Multiscale modelling of nanostructures , 2004 .
[92] Lucy T. Zhang,et al. Coupling of Navier–Stokes equations with protein molecular dynamics and its application to hemodynamics , 2004 .
[93] YP Zhao,et al. Effect of Work of Adhesion on Nanoindentation , 2003 .
[94] Harold S. Park,et al. An introduction to computational nanomechanics and materials , 2004 .
[95] W. Goldsmith,et al. Impact: the theory and physical behaviour of colliding solids. , 1960 .
[96] M. A. Crisfield,et al. Re‐visiting the contact patch test , 2000 .
[97] R. Ogden. Non-Linear Elastic Deformations , 1984 .
[98] Herbert Shea,et al. Carbon nanotubes: nanomechanics, manipulation, and electronic devices , 1999 .