An atomistic-based boundary element method for the reduction of molecular statics models
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Publication:695861
DOI10.1016/j.cma.2012.03.006zbMath1253.74121OpenAlexW1984273566MaRDI QIDQ695861
Publication date: 17 December 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.03.006
Boundary element methods applied to problems in solid mechanics (74S15) Crystalline structure (74E15) Molecular, statistical, and kinetic theories in solid mechanics (74A25)
Related Items
Efficient Flexible Boundary Conditions for Long Dislocations, Stable absorbing boundary conditions for molecular dynamics in general domains, Space reduction for linear systems with local symmetry, Efficient lattice Green's function method for bounded domain problems, Analysis of a Sinclair-Type Domain Decomposition Solver for Atomistic/Continuum Coupling, Traction boundary conditions for molecular static simulations, A Study on the Quasi-continuum Approximations of a One-Dimensional Fracture Model, An Atomistic/Continuum Coupling Method Using Enriched Bases
Uses Software
Cites Work
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- Domain reduction method for atomistic simulations
- A theory of anharmonic lattice statics for analysis of defective crystals
- Cauchy-Born rule and the stability of crystalline solids: Static problems
- On the limited memory BFGS method for large scale optimization
- Stability, instability, and error of the force-based quasicontinuum approximation
- Error estimate of force-based quasicontinuum method
- Multiscale boundary conditions in crystalline solids: theory and application to nanoindentation
- Elliptic difference equations and interior regularity
- Numerical solutions in three dimensional elastostatics
- A Method for Computing Nearly Singular Integrals
- Dislocations and Cracks in Anisotropic Elasticity
- Connecting Atomistic-to-Continuum Coupling and Domain Decomposition
- On Atomistic-to-Continuum Coupling by Blending
- Analysis of a One-Dimensional Nonlocal Quasi-Continuum Method
- Asymptotic expansions of lattice Green's functions
- Interior Regularity Estimates for Elliptic Systems of Difference Equations
- An analysis of the quasicontinuum method
