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Cauchy–Born Rule and the Stability of Crystalline Solids: Static Problems

https://doi.org/10.1007/s00205-006-0031-7
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160120405openalex-snapshot
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
inferredcites →https://doi.org/10.1002/cpa.3160170104openalex-snapshot
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
inferredcites →https://doi.org/10.1007/978-1-4612-1116-7openalex-snapshot
Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
inferredcites →https://doi.org/10.1007/978-1-4612-3736-5openalex-snapshot
Boundary Value Problems of Finite Elasticity
inferredcites →https://doi.org/10.1007/978-3-540-69952-1openalex-snapshot
Multiple Integrals in the Calculus of Variations
inferredcites →https://doi.org/10.1007/978-94-009-4760-3openalex-snapshot
Geometric Crystallography: An Axiomatic Introduction to Crystallography
inferredcites →https://doi.org/10.1007/bf00041300openalex-snapshot
On ν+1-lattices
inferredcites →https://doi.org/10.1007/bf00250727openalex-snapshot
Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
inferredcites →https://doi.org/10.1007/bf00251584openalex-snapshot
Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
inferredcites →https://doi.org/10.1007/bf00375438openalex-snapshot
On the material symmetry group of elastic crystals and the Born Rule
inferredcites →https://doi.org/10.1007/bf01229377openalex-snapshot
The incompressible limit in nonlinear elasticity
inferredcites →https://doi.org/10.1007/bf01386051openalex-snapshot
Accurate partial difference methods
inferredcites →https://doi.org/10.1007/s00205-002-0218-5openalex-snapshot
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inferredcites →https://doi.org/10.1007/s002050050135openalex-snapshot
Variational Formulation of Softening Phenomena in Fracture Mechanics: The One-Dimensional Case
inferredcites →https://doi.org/10.1007/s00332-002-0495-zopenalex-snapshot
Validity and Failure of the Cauchy-Born Hypothesis in a Two-Dimensional Mass-Spring Lattice
inferredcites →https://doi.org/10.1016/0020-7683(81)90025-1openalex-snapshot
On phase transitions involving internal strain
inferredcites →https://doi.org/10.1016/b978-0-12-309770-5.50008-4openalex-snapshot
THE CAUCHY AND BORN HYPOTHESES FOR CRYSTALS
inferredcites →https://doi.org/10.1080/01418619408242240openalex-snapshot
The generalized Peierls–Nabarro model
inferredcites →https://doi.org/10.1090/qam/36650openalex-snapshot
The Cauchy relations in a molecular theory of elasticity
inferredcites →https://doi.org/10.1098/rspa.1939.0002openalex-snapshot
Critical and co-operative phenomena. III. A theory of melting and the structure of liquids
inferredcites →https://doi.org/10.1098/rsta.1992.0013openalex-snapshot
Proposed experimental tests of a theory of fine microstructure and the two-well problem
inferredcites →https://doi.org/10.1103/physrev.145.637openalex-snapshot
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inferredcites →https://doi.org/10.1103/physrevb.29.6443openalex-snapshot
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inferredcites →https://doi.org/10.1103/physrevb.31.5262openalex-snapshot
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inferredcites →https://doi.org/10.1103/physrevlett.50.1285openalex-snapshot
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inferredcites →https://doi.org/10.1103/physrevlett.61.2879openalex-snapshot
Empirical Interatomic Potential for Carbon, with Applications to Amorphous Carbon
inferredcites →https://doi.org/10.1103/physrevlett.83.2592openalex-snapshot
Many-Body Effects in fcc Metals: A Lennard-Jones Embedded-Atom Potential
inferredcites →https://doi.org/10.1103/revmodphys.40.1openalex-snapshot
Symmetry Properties of the Normal Vibrations of a Crystal
inferredcites →https://doi.org/10.1107/s0108767396006654openalex-snapshot
The Cauchy–Born Hypothesis, Nonlinear Elasticity and Mechanical Twinning in Crystals
inferredcites →https://doi.org/10.1115/1.3167709openalex-snapshot
Statistical Mechanics of Elasticity
inferredcites →https://doi.org/10.1119/1.1934059openalex-snapshot
Dynamical Theory of Crystal Lattices
inferredcites →https://doi.org/10.1119/1.1987046openalex-snapshot
Thermodynamics of Crystals
inferredcites →https://doi.org/10.1137/0732047openalex-snapshot
Projection Method I: Convergence and Numerical Boundary Layers
inferredcites →https://doi.org/10.1142/4090#t=tocopenalex-snapshot
Statistical Mechanics: Rigorous Results
inferredcites →https://doi.org/10.1201/9781420036145openalex-snapshot
Continuum Models for Phase Transitions and Twinning in Crystals
inferredcites →https://doi.org/10.4171/jems/65openalex-snapshot
Sufficient conditions for the validity of the Cauchy-Born rule close to SO(n)
inferredcites →https://doi.org/10.4208/cicp.2008.v4.p275openalex-snapshot
A Generalized Peierls-Nabarro Model for Curved Dislocations Using Discrete Fourier Transform
inferredcites →https://doi.org/10.4208/jcm.v22.n2.p210openalex-snapshot
Analysis of Multiscale Methods

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inferred← citeshttps://doi.org/10.1002/cpa.20330openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/cpa.21429openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11243-026-00774-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11401-006-0447-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.apm.2006.12.014openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.chaos.2023.114447openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2012.03.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2012.09.007openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2016.05.002openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.commatsci.2012.04.038openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.commatsci.2012.04.045openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.commatsci.2014.11.030openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cpc.2025.109523openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cpc.2025.109533openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.crma.2010.12.012openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.enganabound.2021.04.004openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.euromechsol.2015.08.011openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.euromechsol.2024.105310openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.geomphys.2016.11.011openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ijengsci.2014.08.007openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2022.107741openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2014.09.005openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ijplas.2014.03.005openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ijplas.2020.102680openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2015.03.030openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.inoche.2024.113112openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2017.04.035openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2023.112113openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2006.05.008openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2010.06.011openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2011.12.012openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2014.02.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2019.103810openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.matpur.2025.103779openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.mechmat.2015.03.012openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.mechmat.2024.104988openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.mechrescom.2025.104574openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.mseb.2025.118250openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.mspro.2014.06.311openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.poly.2024.117132openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0962492913000068openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an/2010106openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an/2011014openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an/2012005openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an/2012021openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an/2015023openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an:2007018openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an:2007058openalex-snapshot
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inferred← citeshttps://doi.org/10.1061/jenmdt.emeng-6831openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.4755952openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/5.0204091openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0953-8984/19/32/326207openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0965-0393/22/4/045008openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0965-0393/23/1/015003openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1361-6544/abf33copenalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1402-4896/ad46cdopenalex-snapshot
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inferred← citeshttps://doi.org/10.1088/1757-899x/10/1/012070openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0025-5718-2010-02453-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0065-9266-2012-00659-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233854.003.0006openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/amrx/abt005openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/amrx/abw012openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/imanum/draa004openalex-snapshot
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inferred← citeshttps://doi.org/10.1098/rsta.2015.0341openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevb.76.064120openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevb.94.014309openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevb.95.104112openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/x5fv-67xnopenalex-snapshot
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inferred← citeshttps://doi.org/10.1107/s2053273320006087openalex-snapshot
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inferred← citeshttps://doi.org/10.1134/s1028335814080060openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/07069969xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1137/080725842openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/090781619openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/110841163openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/110844544openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/110851791openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/120870220openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/120894300openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/130904843openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/130933873openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/140990644openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/140994411openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/15m1020241openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/16m106978xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1137/16m1087862openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/17m1131106openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/17m1157520openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/19m1289212openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/19m130861xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1137/20m1341520openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/21m1416436openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/21m1441122openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/22m1502021openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/22m1517640openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/24m167980xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1139/cjc-2025-0044openalex-snapshot
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inferred← citeshttps://doi.org/10.1140/epjb/e2019-100105-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218202511005817openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218202512500327openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218202515500153openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218202519500520openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218202522500191openalex-snapshot
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inferred← citeshttps://doi.org/10.1177/1081286507086898openalex-snapshot
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inferred← citeshttps://doi.org/10.1177/1081286514537667openalex-snapshot
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inferred← citeshttps://doi.org/10.1177/10812865231198204openalex-snapshot
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inferred← citeshttps://doi.org/10.1177/10812865261487980openalex-snapshot
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inferred← citeshttps://doi.org/10.1360/132010-874openalex-snapshot
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inferred← citeshttps://doi.org/10.1557/mrc.2019.90openalex-snapshot
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inferred← citeshttps://doi.org/10.1557/proc-1229-ll01-02openalex-snapshot
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inferred← citeshttps://doi.org/10.1615/atoz.a.atomistic-to-continuum_couplingopenalex-snapshot
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inferred← citeshttps://doi.org/10.1615/intjmultcompeng.2011002388openalex-snapshot
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inferred← citeshttps://doi.org/10.1615/intjmultcompeng.2012002133openalex-snapshot
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inferred← citeshttps://doi.org/10.17863/cam.44845openalex-snapshot
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inferred← citeshttps://doi.org/10.2138/rmg.2022.87.06openalex-snapshot
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inferred← citeshttps://doi.org/10.30819/5378openalex-snapshot
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inferred← citeshttps://doi.org/10.3390/cryst12050612openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcds.2014.34.5085openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/dcdsb.2021176openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/nhm.2007.2.551openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/nhm.2013.8.501openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/nhm.2013.8.541openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/nhm.2022019openalex-snapshot
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inferred← citeshttps://doi.org/10.4028/www.scientific.net/kem.651-653.941openalex-snapshot
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inferred← citeshttps://doi.org/10.4153/cjm-2007-044-0openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/cicp.020912.150713aopenalex-snapshot
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inferred← citeshttps://doi.org/10.4208/cicp.270910.131110aopenalex-snapshot
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inferred← citeshttps://doi.org/10.4208/cicp.oa-2017-0013openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/cicp.oa-2018-0169openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/cicp.oa-2020-0107openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/csiam-am.2020-0009openalex-snapshot
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inferred← citeshttps://doi.org/10.4208/jcm.1208-m4191openalex-snapshot
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inferred← citeshttps://doi.org/10.4213/tmf8608openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/cms.2007.v5.n3.a7openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/cms.2007.v5.n3.a9openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/cms.2007.v5.n4.a6openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/cms.2008.v6.n4.a14openalex-snapshot
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inferred← citeshttps://doi.org/10.4310/cms.2022.v20.n4.a2openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.0909.5437openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1006.0378openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1008.3716openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1101.5256openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1102.2523openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1110.0168openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1112.0683openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1202.3858openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1210.7174openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1308.3894openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1404.4878openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1409.5739openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1411.4027openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1505.08047openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1702.02701openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1905.07110openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1910.12269openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2106.14559openalex-snapshot
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned Interatomic Potentials
inferred← citeshttps://doi.org/10.5151/meceng-wccm2012-18140openalex-snapshot
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inferred← citeshttps://doi.org/10.5802/crphys.77openalex-snapshot
Discontinuous yielding of pristine micro-crystals
inferred← citeshttps://doi.org/10.7282/t361121zopenalex-snapshot
Continuum and atomistic models of surface elasticity and applications
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