Method of molecular dynamics in mechanics of deformable solids

DOI10.1134/S0021894414030109zbMath1329.74302MaRDI QIDQ891613

S. P. Kiselev

Publication date: 17 November 2015

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

zbMATH Keywords

fracturepressuretemperaturestress tensorplastic deformationenergy conservation lawsymplectic difference schemescopperEAM and MEAM potentialsmethod of molecular dynamicsmolybdenum

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Composite and mixture properties (74E30) Finite difference methods applied to problems in solid mechanics (74S20) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Molecular modeling and simulation. An interdisciplinary guide
• Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations
• Fourth-order symplectic integration
• The Liouville theorem and accurate plasma simulation
• Fast parallel algorithms for short-range molecular dynamics
• Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems
• Stochastic theory of the classical molecular dynamics method
• The boundaries of language and thought in deductive inference
• On the Product of Semi-Groups of Operators
• The Art of Molecular Dynamics Simulation
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