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Philosophical Magazine A Volume 73, 1996 - Issue 4
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Original Articles

Critical analysis of local constitutive models for slip and decohesion

Ron Miller Division of Engineering, Brown University, Providence, Rhode Island, RI 02912, USA
&
Rob Phillips Division of Engineering, Brown University, Providence, Rhode Island, RI 02912, USA
Pages 803-827 | Received 26 Jun 1995, Accepted 18 Sep 1995, Published online: 27 Sep 2006

Citations (33)

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Read on this site (2)

S. T. Choi & K.-S. Kim. (2007) Nanoscale planar field projections of atomic decohesion and slip in crystalline solids. Part I. A crack-tip cohesive zone. Philosophical Magazine 87:12, pages 1889-1919.
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V.B. Shenoy & R. Phillips. (1997) Finite-sized atomistic simulations of screw dislocations. Philosophical Magazine A 76:2, pages 367-385.
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Articles from other publishers (31)

Chuanying Li, Tao Fu, Xule Li, Hao Hu & Xianghe Peng. (2023) Effects of shear methods on shear strengths and deformation modes of two typical transition metal carbides and their unification. Physical Review B 107:22.
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Zongrui Pei. (2023) A general framework for dislocation models. Computational Materials Science 222, pages 112107.
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S. Alkan & H. Sehitoglu. (2017) Dislocation core effects on slip response of NiTi- a key to understanding shape memory. International Journal of Plasticity 97, pages 126-144.
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V. Taupin, K. Gbemou, C. Fressengeas & L. Capolungo. (2017) Nonlocal elasticity tensors in dislocation and disclination cores. Journal of the Mechanics and Physics of Solids 100, pages 62-84.
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Jaroslaw Grobelny, Namboodiri Pradeep & Doo-In Kim. (2008) Estimation of contact area of nanoparticles in chains using continuum elastic contact mechanics. Journal of Nanoparticle Research 10:S1, pages 163-169.
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R.E. Miller. 2007. Multiscale Materials Modelling. Multiscale Materials Modelling 189 219 .
Binquan Luan & Mark O. Robbins. (2006) Contact of single asperities with varying adhesion: Comparing continuum mechanics to atomistic simulations. Physical Review E 74:2.
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Binquan Luan & Mark O. Robbins. (2005) The breakdown of continuum models for mechanical contacts. Nature 435:7044, pages 929-932.
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Sergei Shenogin & Rahmi Ozisik. (2005) Simulation of plastic deformation in glassy polymers: Atomistic and mesoscale approaches. Journal of Polymer Science Part B: Polymer Physics 43:8, pages 994-1004.
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O. Y. Kontsevoi, A. J. Freeman, Y. N. Gornostyrev, A. F. Maksyutov & K. Y. Khromov. (2005) Dislocation structure, phase stability, and yield stress behavior of L12 intermetallics: Ir3X (X = Ti, Zr, Hf, V, Nb, Ta). Metallurgical and Materials Transactions A 36:3, pages 559-566.
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F Sansoz & J.F Molinari. (2004) Incidence of atom shuffling on the shear and decohesion behavior of a symmetric tilt grain boundary in copper. Scripta Materialia 50:10, pages 1283-1288.
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K Binder, Wolfgang Paul, Ulrich Suter & Serge Santos. 2004. Simulation Methods for Polymers. Simulation Methods for Polymers.
Jae Shick Yang, Won Ho Jo, Ulrich Suter & Serge Santos. 2004. Simulation Methods for Polymers. Simulation Methods for Polymers.
Oleg Y. Kontsevoi, Yuri N. Gornostyrev & Arthur J. Freeman. (2011) Dislocation Structure, Phase Stability and Yield Stress Behavior of Ultra-High Temperature L1 2 Intermetallics: Combined First Principles-Peierls-Nabarro Approach . MRS Proceedings 842.
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O.N. Mryasov, Yu.N. Gornostyrev, M. van Schilfgaarde & A.J. Freeman. (2002) Superdislocation core structure in L12 Ni3Al, Ni3Ge and Fe3Ge: Peierls–Nabarro analysis starting from ab-initio GSF energetics calculations. Acta Materialia 50:18, pages 4545-4554.
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O.N Mryasov, Yu.N Gornostyrev, M van Schilfgaarde & A.J Freeman. (2001) Complex evolution of dislocation core structure in a process of motion: model analysis with ab-initio parameterization. Materials Science and Engineering: A 309-310, pages 138-141.
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David L Olmsted, Kedar Y Hardikar & Rob Phillips. (2001) Lattice resistance and Peierls stress in finite size atomistic dislocation simulations. Modelling and Simulation in Materials Science and Engineering 9:3, pages 215-247.
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Yu. N. Gornostyrev, M. I. Katsnelson, N. I. Medvedeva, O. N. Mryasov, A. J. Freeman & A. V. Trefilov. (2000) Peculiarities of defect structure and mechanical properties of iridium: Results of ab initio electronic structure calculations . Physical Review B 62:12, pages 7802-7808.
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Gang Lu, Nicholas Kioussis, Vasily V. Bulatov & Efthimios Kaxiras. (2000) Generalized-stacking-fault energy surface and dislocation properties of aluminum. Physical Review B 62:5, pages 3099-3108.
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Vivek B. Shenoy, Rob Phillips & Ellad B. Tadmor. (2000) Nucleation of dislocations beneath a plane strain indenter. Journal of the Mechanics and Physics of Solids 48:4, pages 649-673.
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J.P Hirth. (2000) Some current topics in dislocation theory. Acta Materialia 48:1, pages 93-104.
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Rob Phillips, David Rodney, Vivek Shenoy, Ellad Tadmor & Michael Ortiz. (1999) Hierarchical models of plasticity: dislocation nucleation and interaction. Modelling and Simulation in Materials Science and Engineering 7:5, pages 769-780.
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D. Roundy, C. R. Krenn, Marvin L. Cohen & J. W. Morris. (1999) Ideal Shear Strengths of fcc Aluminum and Copper. Physical Review Letters 82:13, pages 2713-2716.
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Oleg N. Mryasov, Yu. N. Gornostyrev & A. J. Freeman. (1998) Generalized stacking-fault energetics and dislocation properties:  Compact versus spread unit-dislocation structures in TiAl and CuAu. Physical Review B 58:18, pages 11927-11932.
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Ron Miller, Rob Phillips, Glen Beltz & Michael Ortiz. (1998) A non-local formulation of the peierls dislocation model. Journal of the Mechanics and Physics of Solids 46:10, pages 1845-1867.
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Fabrizio Cleri, Simon R. Phillpot, Dieter Wolf & Sidney Yip. (2005) Atomistic Simulations of Materials Fracture and the Link between Atomic and Continuum Length Scales. Journal of the American Ceramic Society 81:3, pages 501-516.
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F. Cleri. (2011) Atomistic Aspects of Fracture Modelling in the Framework of Continuum Mechanics. MRS Proceedings 538.
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Michael Ortiz & Rob Phillips. 1998. Advances in Applied Mechanics Volume 36. Advances in Applied Mechanics Volume 36 1 79 .
F. Cleri, D. Wolf, S. Yip & S.R. Phillpot. (1997) Atomistic simulation of dislocation nucleation and motion from a crack tip. Acta Materialia 45:12, pages 4993-5003.
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Vasily V. Bulatov & Efthimios Kaxiras. (1997) Semidiscrete Variational Peierls Framework for Dislocation Core Properties. Physical Review Letters 78:22, pages 4221-4224.
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J.F. Justo, V.V. Bulatov & S. Yip. (1997) Core effects in dislocation intersection. Scripta Materialia 36:6, pages 707-712.
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